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scaling_mia_the_pile_00_DM_Mathematics

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75. 5, 11, 1153 What are the prime factors of 2693454? 2, 3, 41, 10949 List the prime factors of 10613538. 2, 3, 13, 1163 What are the prime factors of 263745? 3, 5, 5861 What are the prime factors of 915197? 915197 What are the prime factors of 639356? 2, 159839 List the prime factors of 11826786. 2, 3, 59, 33409 List the prime factors of 543435. 3, 5, 36229 List the prime factors of 687063. 3, 13, 79, 223 List the prime factors of 324550. 2, 5, 6491 What are the prime factors of 929466? 2, 3, 51637 List the prime factors of 4822038. 2, 3, 13, 6869 List the prime factors of 1100781. 3, 11, 11119 What are the prime factors of 90798? 2, 3, 37, 409 List the prime factors of 8131283. 193, 42131 What are the prime factors of 218596? 2, 7, 37, 211 What are the prime factors of 7011224? 2, 11, 7243 List the prime factors of 403908. 2, 3, 97, 347 List the prime factors of 168231. 3, 7, 8011 List the prime factors of 24825632. 2, 13, 83, 719 List the prime factors of 3080245. 5, 7, 88007 What are the prime factors of 25832? 2, 3229 What are the prime factors of 20533680? 2, 3, 5, 19, 79 What are the prime factors of 2281666? 2, 43, 617 List the prime factors of 2529747. 3, 11, 23, 101 What are the prime factors of 1007766? 2, 3, 55987 What are the prime factors of 6927886? 2, 7, 494849 List the prime factors of 7600015. 5, 1520003 What are the prime factors of 142168? 2, 13, 1367 What are the prime factors of 2617003? 19, 137737 List the prime factors of 432245. 5, 11, 29, 271 What are the prime factors of 236223? 3, 13, 673 List the prime factors of 386303. 386303 List the prime factors of 762288. 2, 3, 15881 What are the prime factors of 914924? 2, 228731 List the prime factors of 21891610. 2, 5, 13, 19, 8863 What are the prime factors of 3586725? 3, 5, 19, 839 What are the prime factors of 7235100? 2, 3, 5, 8039 List the prime factors of 1437988. 2, 307, 1171 What are the prime factors of 3515646? 2, 3, 19, 30839 What are the prime factors of 5179265? 5, 7, 13, 11383 What are the prime factors of 870086? 2, 7, 19, 3271 What are the prime factors of 1307422? 2, 653711 List the prime factors of 989858. 2, 67, 83, 89 List the prime factors of 598678. 2, 127, 2357 What are the prime factors of 21178486? 2, 7, 216107 What are the prime factors of 10521807? 3, 3507269 List the prime factors of 85888. 2, 11, 61 List the prime factors of 644686. 2, 7, 46049 List the prime factors of 269597. 269597 List the prime factors of 35202439. 71, 101, 4909 List the prime factors of 9548083. 433, 22051 What are the prime factors of 1259809? 31, 40639 What are the prime factors of 434324? 2, 11, 9871 What are the prime factors of 3081674? 2, 1039, 1483 What are the prime factors of 6869534? 2, 7, 71, 6911 List the prime factors of 1305533. 1305533 List the prime factors of 800142. 2, 3, 7, 19051 List the prime factors of 14311082. 2, 37, 193393 List the prime factors of 38249. 23, 1663 List the prime factors of 13210801. 13210801 What are the prime factors of 7702889? 7702889 List the prime factors of 5083021. 5083021 List the prime factors of 343840. 2, 5, 7, 307 What are the prime factors of 1571163? 3, 11, 47, 1013 What are the prime factors of 7788521? 13, 599117 What are the prime factors of 632491? 19, 33289 What are the prime factors of 6337481? 17, 21929 What are the prime factors of 3759023? 17, 13007 List the prime factors of 1418063. 1418063 List the prime factors of 170088. 2, 3, 19, 373 List the prime factors of 7117. 11, 647 List the prime factors of 305854. 2, 23, 61, 109 List the prime factors of 2043803. 23, 88861 List the prime factors of 5114076. 2, 3, 11, 17, 43, 53 What are the prime factors of 4154127? 3, 953, 1453 What are the prime factors of 958445? 5, 191689 List the prime factors of 5420461. 109, 223 List the prime factors of 845270. 2, 5, 181, 467 What are the prime factors of 22071015? 3, 5, 17, 59, 163 List the prime factors of 5647241. 5647241 List the prime factors of 30327. 3, 11, 919 What are the prime factors of 5165302? 2, 19, 135929 List the prime factors of 643344. 2, 3, 13, 1031 What are the prime factors of 7070991? 3, 2356997 What are the prime factors of 14778725? 5, 13, 37, 1229 What are the prime factors of 352448? 2, 5507 What are the prime factors of 725593? 11, 65963 List the prime factors of 3811448. 2, 347, 1373 List the prime factors of 23981. 23981 What are the prime factors of 298699? 19, 79, 199 What are the prime factors of 333932? 2, 31, 2693 What are the prime factors of 5967270? 2, 3, 5, 53, 139 List the prime factors of 314323. 523, 601 What are the prime factors of 1530724? 2, 13, 29437 What are the prime factors of 629896? 2, 78737 What are the prime factors of 1631179? 11, 257, 577 List the prime factors of 7682818. 2, 11, 13, 26863 List the prime factors of 2053924. 2, 513481 What are the prime factors of 779385? 3, 5, 223, 233 What are the prime factors of 829151? 829151 What are the prime factors of 833111? 457, 1823 List the prime factors of 14494138. 2, 7247069 List the prime factors of 6283911. 3, 2094637 List the prime factors of 35035. 5, 7, 11, 13 List the prime factors of 1006100. 2, 5, 10061 List the prime factors of 2046616. 2, 11, 13, 1789 List the prime factors of 14699247. 3, 1657, 2957 List the prime factors of 9231815. 5, 19, 97177 List the prime factors of 3615851. 47, 107, 719 List the prime factors of 10290130. 2, 5, 1029013 List the prime factors of 181990. 2, 5, 18199 List the prime factors of 222445. 5, 17, 2617 List the prime factors of 40640851. 3343, 12157 List the prime factors of 17192112. 2, 3, 7, 19, 2693 What are the prime factors of 626078? 2, 71, 4409 List the prime factors of 666909. 3, 74101 What are the prime factors of 17527105? 5, 3505421 List the prime factors of 264465. 3, 5, 653 What are the prime factors of 5451223? 521, 10463 List the prime factors of 3442416. 2, 3, 29, 2473 List the prime factors of 20782300. 2, 5, 7, 11, 2699 What are the prime factors of 11289607? 7, 43, 37507 What are the prime factors of 39884483? 29, 37, 37171 What are the prime factors of 99319? 11, 9029 List the prime factors of 10955474. 2, 59, 227, 409 What are the prime factors of 642338? 2, 321169 List the prime factors of 9028146. 2, 3, 1504691 What are the prime factors of 4364195? 5, 11, 79349 List the prime factors of 20809307. 73, 197, 1447 List the prime factors of 4533855. 3, 5, 47, 59, 109 What are the prime factors of 1184041? 29, 40829 What are the prime factors of 6169247? 7, 137, 919 List the prime factors of 79949. 31, 2579 What are the prime factors of 101472? 2, 3, 7, 151 What are the prime factors of 1176974? 2, 19, 47, 659 List the prime factors of 1988338. 2, 11, 90379 List the prime factors of 37093. 7, 757 List the prime factors of 25131063. 3, 53, 179, 883 What are the prime factors of 475648? 2, 929 List the prime factors of 39744. 2, 3, 23 What are the prime factors of 17459556? 2, 3, 19, 73, 1049 List the prime factors of 329891. 329891 What are the prime factors of 19486998? 2, 3, 17, 43, 1481 List the prime factors of 1175959. 1175959 What are the prime factors of 788610? 2, 3, 5, 97, 271 What are the prime factors of 34505? 5, 67, 103 List the prime factors of 1898990. 2, 5, 53, 3583 What are the prime factors of 1596115? 5, 319223 What are the prime factors of 21089451? 3, 7029817 What are the prime factors of 229489? 13, 127, 139 List the prime factors of 960968. 2, 120121 List the prime factors of 181191. 3, 60397 What are the prime factors of 983667? 3, 327889 What are the prime factors of 144393? 3, 48131 What are the prime factors of 297546? 2, 3, 101, 491 What are the prime factors of 197055? 3, 5, 29, 151 List the prime factors of 2033416. 2, 7, 11, 3301 List the prime factors of 448531. 448531 List the prime factors of 267486. 2, 3, 109, 409 What are the prime factors of 106369? 17, 6257 List the prime factors of 1566037. 11, 19, 59, 127 What are the prime factors of 414915? 3, 5, 139, 199 List the prime factors of 18403893. 3, 29, 107, 659 What are the prime factors of 1444938? 2, 3, 11, 21893 What are the prime factors of 930856? 2, 23, 5059 List the prime factors of 17010126. 2, 3, 7, 127, 1063 What are the prime factors of 720349? 7, 61, 241 L
{ "pile_set_name": "DM Mathematics" }
165325301317.5 What is the distance between 0.0110052 and 10.15465654? 10.14365134 Calculate 2598.7282389 + -56.2. 2542.5282389 Calculate 0.5 - -9456491105.9227. 9456491106.4227 Put together -704689964.5 and -0.22. -704689964.72 What is the distance between 23888540.3007 and 0.3? 23888540.0007 Put together 62147.7 and -3.200483. 62144.499517 What is 0.1 take away 299781588147? -299781588146.9 0.15+491896089868 491896089868.15 Work out 131940799799 + -0.239. 131940799798.761 Add together -56.1 and 1648.70418. 1592.60418 Total of -6767701 and -3234539. -10002240 What is the difference between 0.02 and -201549988587? 201549988587.02 What is the distance between -135774.6212 and -0.503? 135774.1182 Add together 5 and 46748695707. 46748695712 -3571105.1 - -6238 -3564867.1 Calculate 164997840193 - -15. 164997840208 Work out 142359 + 27558919. 27701278 219103792.8 - -0.53 219103793.33 Total of 0.0326466139167 and 5. 5.0326466139167 -6 - 224335.34629 -224341.34629 Total of -56337.3849 and -0.0688. -56337.4537 Subtract -1216387 from -0.007388. 1216386.992612 Add 655415 and -132.086. 655282.914 -3 + -79653172202.1 -79653172205.1 Calculate 73274222 - 3451.6. 73270770.4 What is 2050895243 - 9233? 2050886010 What is -0.10017 take away -163.5533? 163.45313 -12612.89781 + 0.00647 -12612.89134 What is the difference between 229.97 and -23701124187? 23701124416.97 Add -2431.9228566 and -0.3. -2432.2228566 Calculate -331 - -54984867860. 54984867529 What is 12138151582 less than 5113? -12138146469 What is the distance between 0.82181 and -56870? 56870.82181 What is -975.92490802 - -310? -665.92490802 Calculate 0.1 + 10790857817678. 10790857817678.1 What is 15.943606325 minus 0.707? 15.236606325 Calculate -23787052.02661 - 7. -23787059.02661 Work out -1290448 - 0.160032. -1290448.160032 Subtract -9 from 139500755737. 139500755746 Put together 7.4 and 184.8226768. 192.2226768 What is -1038 plus -646400641? -646401679 What is -0.3 take away 199322007427705? -199322007427705.3 What is -2 - -15063924325? 15063924323 Sum 0.6345338 and -18232.52. -18231.8854662 What is -1 + -671226327683? -671226327684 What is -8513728436 - -0.1557? -8513728435.8443 Add together 170899732 and 9.04. 170899741.04 Calculate -4.28751 - 5511.539. -5515.82651 What is -36383642277 plus -1.338? -36383642278.338 -825887603672 + 55.5 -825887603616.5 -157885143638 - 0.2 -157885143638.2 Subtract 2404 from -564871778. -564874182 -16932+-19022276 -19039208 Calculate 3.6134281176 - 19.41. -15.7965718824 What is -1036967.372 minus 0.0682? -1036967.4402 Subtract -5 from 57040452941628. 57040452941633 What is -25633198568 plus -524? -25633199092 Work out 26.390182 - -796787. 796813.390182 What is 481749643 take away -35509? 481785152 50772 + -48877.5185 1894.4815 What is -3 - -6513211807? 6513211804 What is -1421592699 minus -14? -1421592685 135342 + 78464 213806 Add together -24928927753048 and -6. -24928927753054 Calculate 1858912565 + 254961. 1859167526 Add together -0.9864321862 and 5897. 5896.0135678138 -31.4748287 + 0.0008 -31.4740287 19299567937639 - 0.2 19299567937638.8 -22 + -20440963605 -20440963627 Subtract -1218 from 5.60824111. 1223.60824111 -4.100869 - 29934 -29938.100869 -35634899+43.33 -35634855.67 What is 74916885.5 minus 2417? 74914468.5 What is -1898.453 less than 349.52? 2247.973 Subtract -6.896431 from 212.268. 219.164431 Work out -34213896 - -684099.2. -33529796.8 Work out 4997 + -941716796. -941711799 Work out -3178311116 + -12. -3178311128 What is the difference between 1164.9 and 208855529? 208854364.1 What is -1441993787206 + 1.4? -1441993787204.6 Sum 68166 and 32304802. 32372968 822202 - 33064325 -32242123 -19904392+-2551860 -22456252 What is -1.38 take away 1022557.27372? -1022558.65372 Calculate -14711.43392 + -14.27. -14725.70392 Subtract 2097799625732 from -0.2. -2097799625732.2 What is 1297.692 plus 0.893202? 1298.585202 -33418394.8 - 1114 -33419508.8 What is -0.2 minus 273902007.722? -273902007.922 What is -0.047516797192 minus 2? -2.047516797192 Work out -63 - -3623.74439708. 3560.74439708 What is -0.47351 - -77617360.16? 77617359.68649 365 + -0.794476405 364.205523595 Add 6.9 and -13198204851. -13198204844.1 Put together 194439.59622614 and -0.1. 194439.49622614 What is 216365744051 less than 32.6? -216365744018.4 -249222475644 - 0.9 -249222475644.9 Add -242859 and 2873382. 2630523 Sum 0.3637 and -135482.25671. -135481.89301 Subtract -19 from 2436767664690. 2436767664709 What is the distance between 0.5 and 223268683.8004? 223268683.3004 What is 46.54599 plus -0.0361039? 46.5098861 What is 8174027467 less than -0.1965? -8174027467.1965 Calculate 394282763 + 201. 394282964 What is -4055.446343 less than 642? 4697.446343 What is -5612317178298 take away -0.5? -5612317178297.5 Subtract 0.2 from -135511262044. -135511262044.2 Add together 0.2109353315378 and -3. -2.7890646684622 1 + 777195026672.8 777195026673.8 Add together -4205386893537 and 43. -4205386893494 What is -119276790 take away 430.436? -119277220.436 Subtract 0.03 from 336832951438. 336832951437.97 Put together -880.39 and 547646. 546765.61 Add 213502 and 33075.91. 246577.91 What is -751745100 - 84927? -751830027 Add -14095.4898 and 3.691017. -14091.798783 What is the distance between 4 and -629.93878129? 633.93878129 What is 1011615 plus -32494072.4? -31482457.4 Add 0.4156115095 and -0.3577. 0.0579115095 What is 0.7022 minus -25811304915? 25811304915.7022 Calculate -0.04066 - 114272306. -114272306.04066 What is -1041426378 - -0.75? -1041426377.25 Add together 3 and -1483505768.97. -1483505765.97 Work out 4 + -133530.25978299. -133526.25978299 Subtract -23685948 from 1547. 23687495 -65.7 + -15.66869652 -81.36869652 -315.484041 + 11 -304.484041 Put together 0.5 and -0.082756426237084. 0.417243573762916 Total of 0.067 and 14798.814684. 14798.881684 What is -2 less than 915416086034? 915416086036 What is 4.2 minus -10172089572? 10172089576.2 Calculate 2.4398 + -1155626174. -1155626171.5602 Add together -119274566 and -25440. -119300006 Work out -154 + 16249467121. 16249466967 Total of 38 and -37.14604339. 0.85395661 What is 8 take away -678012825.97? 678012833.97 162880+0.10312155 162880.10312155 Work out -0.4 - 34647508587. -34647508587.4 Work out -282244506819 + 21. -282244506798 Put together -0.097687068283 and 0.2. 0.102312931717 -31098.342769 + -30 -31128.342769 Calculate 0.3 - -505333468229. 505333468229.3 Sum 63163953.21 and 83173. 63247126.21 Work out -245 + 269.0487548. 24.0487548 Sum -65.84 and 49368.55897. 49302.71897 Sum 121847 and -1027294. -905447 Subtract 16890792912604 from 0. -16890792912604 What is -32552857.24 minus 1.757? -32552858.997 Total of -10022555151904 and -0.1. -10022555151904.1 Work out -210609 - 11622060. -11832669 -35+-150597054601 -150597054636 266985443241 - 0.1695 266985443240.8305 Work out 1497 + -27276545. -27275048 -0.25 + -1278553.40438 -1278553.65438 What is the difference between -599.165160827 and -22? 577.165160827 165 + 30247736350 30247736515 What is the difference between -0.0697 and -0.0592293? 0.0104707 What is -150686776408 plus 0.043? -150686776407.957 Add together 69298 and -0.03771375. 69297.96228625 What is 20831.63492 take away 2415? 18416.63492 Add together 152203745083 and -134. 152203744949 951950+704.72513 952654.72513 125857085 - -590.4 125857675.4 What is -10983.707 take away 436517? -447500.707 2.57740358479 + 431 433.57740358479 What is 598023061703 minus 0.05? 598023061702.95 What is 268442 minus 0.01872666? 268441.98127334 Add together -1 and -9602996216527. -9602996216528 Calculate -42857 - -3164.27195. -39692.72805 Calculate 13 - 5558.833563935. -5545.833563935 Calculate 2242218.657981 + -35. 2242183.657981 Subtract -2735288.496945 from 9. 2735297.496945 What is 2164400 + 194.801723? 2164594.801723 Subtract -653.6 from 73444.53. 74098.13 Calculate 0.2682373175884 + 0. 0.2682373175884 Work out -14.3861 - 0.3831945. -14.7692945 Calculate 935681913297 + 202. 935681913499 Subtract 5 from -60669513969.8. -60669513974.8 0.172 + 45323.3356449 45323.5076449 Add together 217905 and 3.347996. 217908.347996 What is 2697988.36941 + 0.09? 2697988.45941 What is -11 minus 56428414820? -56428414831 What is 0.6 take away 895363424? -895363423.4 What is -6833
{ "pile_set_name": "DM Mathematics" }
6*z - 4. Let o = 4317 - 4320. Calculate o*y(h) + 4*p(h). 9*h - 1 Let a(s) = 3*s**3 - 55*s**2 + 11*s + 29. Let v(u) = -2*u**3 + 30*u**2 - 6*u - 15. Let j(l) = -6*a(l) - 11*v(l). Let m(i) = i**3 - 2. Give 4*j(w) - 18*m(w). -2*w**3 Let m(t) be the first derivative of 0*t + 3*t**2 - 2 - 1/3*t**3. Suppose 256*a - 905 - 565 = -190. Let z(s) = 2*s**2 - 12*s. Calculate a*m(l) + 2*z(l). -l**2 + 6*l Let m(s) = 1414*s - 7. Let b(a) = -1446*a + 7. Calculate 7*b(g) + 8*m(g). 1190*g - 7 Let x(f) = -6*f**2 - 2*f. Let c be 10/(-4)*(5 + (-84)/20). Let r(n) = 5*n**2 + n. Give c*x(j) - 3*r(j). -3*j**2 + j Let v(j) = -7*j - 4. Let o(m) = -19751 - 6*m - 19751 + 39497. Give 4*o(i) - 5*v(i). 11*i Let w(v) = -1557 + v + 776 + 780. Let y(g) = g - 2. Determine 4*w(z) - y(z). 3*z - 2 Let q(s) = -428*s + 9418. Let l be q(22). Let m(p) = p**3 - 18*p**2 - 3*p - 2. Let r(h) = 4*h**3 - 54*h**2 - 10*h - 6. What is l*r(b) - 7*m(b)? b**3 + 18*b**2 + b + 2 Suppose -5 - 16 = -3*h. Suppose -h*t = -3*t + 8. Let d(w) = -2. Let r(i) = -i + 3. Suppose -s + 2*q - 3 = 0, -4*q + 9 = -3*s - 8*q. Calculate s*d(g) + t*r(g). 2*g Let c(o) = -12*o + 371. Let j(z) = -21*z + 740. What is 9*c(v) - 5*j(v)? -3*v - 361 Let q(h) = 116*h + 1155. Let y(z) = -63*z - 577. Determine -6*q(o) - 11*y(o). -3*o - 583 Let n = 39 - 33. Let d(i) = -55*i - 159*i - 9*i - 30*i - 88*i. Let r(q) = 17*q. Determine n*d(x) + 121*r(x). 11*x Let n(z) = 47*z**2. Let k(o) = -10*o**3 + 80*o**2 + 4*o - 45. Let i be k(8). Let p(f) = 117*f**2. Give i*n(l) + 5*p(l). -26*l**2 Let f(q) = 3*q + 2. Let y(v) = -2*v**3 + 17*v**2 - 8*v + 1. Suppose -5*d + 12 = -4*d + u, 2*u - 8 = 0. Let h be y(d). Let x(w) = w + 1. Determine h*f(s) - x(s). 2*s + 1 Let l = 3591 - 3594. Let t(r) = 6*r - 16. Let v(k) = -3*k + 8. What is l*t(g) - 5*v(g)? -3*g + 8 Suppose -4*b + 30 = 78*q - 77*q, b + 4*q = 30. Let z(t) = -29*t + 14. Let p(j) = 10*j - 5. Give b*z(l) + 17*p(l). -4*l - 1 Let h(b) be the first derivative of b**2/2 + 83. Let c(o) = 7*o**2 - 13*o + 4. Let f(k) = k**2 - k + 1. Let l(r) = -c(r) + 6*f(r). What is 3*h(p) - l(p)? p**2 - 4*p - 2 Let g(m) = -2*m - 3. Let s(c) = c**2 - 17*c + 85. Let d be s(5). Suppose -9 + d = 4*x. Let a(o) = o + 2. Calculate x*a(n) + 3*g(n). -2*n - 1 Let u(l) = 128*l - 26. Let v(r) = 89*r - 18. Let d(x) = -5*u(x) + 7*v(x). Let q(g) = -68*g + 17. Give -17*d(f) + 4*q(f). 17*f Suppose -4 = o, t - 3*o = 6*t + 27. Let k(f) = f + 1. Let h(d) = -d. Let s(n) = -n**2 + 3*n - 1. Let p be s(-1). Determine p*h(w) + t*k(w). 2*w - 3 Let y be 1/(-2) - 3/6. Let b(p) = 3*p**3 - 6*p**2 - 7*p - 5. Let q(f) = f**3 - f**2 - f - 1. Let n = 1081 - 614. Let h = n + -461. Determine h*q(i) + y*b(i). 3*i**3 + i - 1 Let q(x) = 9*x - 2. Let f(t) = t**2 + 74*t + 834. Let d be f(-14). Let g(w) = -26*w + 6. Determine d*g(y) - 17*q(y). 3*y - 2 Let q = 219 + -227. Let u(r) = 23*r - 8. Let y(s) = 3*s - 4. Let o be y(4). Let p(c) = -3 - 8*c + o + 6*c - 13*c. Give q*p(j) - 5*u(j). 5*j Let j(o) = 42*o**2 + 9*o - 5. Let i(r) = -257*r**2 - 56*r + 31. Let s(z) = -2*i(z) - 13*j(z). Let t(f) = -16*f**2 - 3*f + 2. Determine -3*s(a) + 5*t(a). 16*a**2 + 1 Let z(f) = -2*f**3 - 3*f**2 - 3*f + 4. Let w be (-8)/(-10) + 63/165 + (-26)/143. Let u(p) = -p + 1. Calculate w*z(a) - 5*u(a). -2*a**3 - 3*a**2 + 2*a - 1 Let v(c) = -443*c**2 + 8*c + 4. Let m(l) = l**2 + 6*l + 3. Give -2*m(i) + v(i). -445*i**2 - 4*i - 2 Let i(y) = -107*y**3 - 16*y**2 - 60*y + 1. Let d(l) = -21*l**3 - 3*l**2 - 11*l. What is 16*d(p) - 3*i(p)? -15*p**3 + 4*p - 3 Let u(y) = 1794*y**2 + 92*y - 92. Let m(g) be the second derivative of -97*g**4/12 - 5*g**3/6 + 5*g**2/2 - 4055*g. What is -92*m(j) - 5*u(j)? -46*j**2 Let c(a) = -a**3 - 42*a**2 + 42*a - 50. Let x be c(-43). Let o(h) = -3*h. Let l(d) = -d. Determine x*l(f) + 2*o(f). f Let h(p) = -7*p**2 - 4. Let z(r) = -57*r**2 - 33. Suppose -2991 - 1579 = -10*q. Let b = -424 + q. Determine b*h(y) - 4*z(y). -3*y**2 Let l(h) = 6*h**2 - 2*h - 5. Let d(a) = 3 + 2 - 2 - 2 - a**2 + 0. Suppose 4*p = -p - 50. Calculate p*d(o) - 2*l(o). -2*o**2 + 4*o Let v(o) = -8*o**3 + 7*o**2 + 10*o. Suppose 203*h = -266*h + 2345. Let t(m) = -4*m**3 + 3*m**2 + 5*m. What is h*t(y) - 2*v(y)? -4*y**3 + y**2 + 5*y Let v(q) = -88*q**3 + 5*q**2 + 11*q - 7. Let r(j) = 88*j**3 - 5*j**2 - 13*j + 9. Calculate -5*r(a) - 6*v(a). 88*a**3 - 5*a**2 - a - 3 Suppose -753*v - 5*q - 19 = -754*v, -4*q - 16 = 0. Let y(i) = -3*i**2 + 2. Let c(k) = -k**2 + k. What is v*c(x) - y(x)? 4*x**2 - x - 2 Let k(c) = -11*c**2 + 2. Suppose -109*n - 59*n + 8*n = -320. Let l(g) = 34*g**2 - 5. Determine n*l(r) + 7*k(r). -9*r**2 + 4 Let w(x) = x**2 - 4*x. Let u(v) = -1 + 3*v**2 - 4*v**2 - 3*v**2 + 17*v. Let p(l) = -112 + l - 9*l + 0*l + 3*l. Let m be p(-22). Calculate m*u(g) - 9*w(g). -g**2 + 2*g + 2 Let t(n) = -2*n - 10. Let y = 92 + 396. Suppose y = 4*m - 5*a, 4*a - 91 = 4*m - 583. Let f = -129 + m. Let s(q) = -q - 3. Give f*t(h) + 7*s(h). -3*h - 1 Let d(t) = 1990*t**2 - 24*t + 28. Let a(l) = 664*l**2 - 9*l + 10. Determine -8*a(o) + 3*d(o). 658*o**2 + 4 Let b(m) = -2 + 58*m**2 - 56*m**2 + 4 + m**3 + 2*m. Let w(a) = 23*a - 62*a + 21*a + 4 - 1 + 3*a**2 + 21*a. Let s be (-2 - 0 - -1)*3. What is s*b(d) + 2*w(d)? -3*d**3 Let b(n) be the third derivative of n**4/24 - n**3 + 6389*n**2. Let z(s) = 2*s - 12. Determine 5*b(h) - 2*z(h). h - 6 Let n(g) = 22960*g**3 + 85*g. Let b(m) = 516600*m**3 + 1904*m. Calculate 5*b(l) - 112*n(l). 11480*l**3 Let d(s) = s**2 - 24*s + 26. Let p be d(23). Suppose -5*z + 2 = -p*t, 0 + 1 = 2*t - z. Let o(x) = -x + 1. Let r(y) = -4 + 3 + 2 - 4*y + 0. Give t*r(k) - 2*o(k). -2*k - 1 Suppose -1 = 4*s - 5. Let b(q) = -1. Let t(f) = -46*f + 14. Let z(w) = 59*w - 18. Let u(h) = 9*t(h) + 7*z(h). Determine s*u(m) + 5*b(m). -m - 5 Suppose 44 - 53 = 3*z. Let x be 1*z + 77/66*6. Let o(m) = 3*m - 2. Let u = -1 - 1. Let n(i) = i - 1. What is u*o(r) + x*n(r)? -2*r Suppose 0 = i - 2*a - 2*a + 22, 0 = 5*i + a + 5. Let c(j) = -1. Let m(y) = -y - 4. Let s(b) = 6*b + 14. Let z(k) = 5*m(k) + s(k). Give i*z(f) + 6*c(f). -2*f + 6 Let q(p) = 484*p**2 - 12*p - 4. Let m(l) = -482*l**2 + 10*l + 3. Give -6*m(x) - 5*q(x). 472*x**2 + 2 Let u(g) = 28*g - 851. Let b(d) = 43*d - 1273. What is -7*b(p) + 11*u(p)? 7*p - 450 Let k(i) = -20300*i + 9. Let s(h) = -6719312*h + 2976. What is -992*k(z) + 3*s(z)? -20336*z Let g(y) = -20*y**2 + 8*y + 504. Let s(a) = 7*a**2 - 3*a - 168. Calculate 5*g(k) + 14*s(k). -2*k**2 - 2*k + 168 Suppose -2 - 44 = 14*c + 32*c. Let l(s) = -4*s + 1. Let g(y) = -y**2 - y. Determine c*l(r) + 2*g(r). -2*r**2 + 2*r - 1 Let x(z) = z - 7. Let j = -230 - -235. Let f(c) be the third derivative of -c**2 + 1/24*c**4 - 2/3*c**3 + 0 + 0*c. Give j*f(m) - 3*x(m). 2*m + 1 Let x(t) = -2*t + 1. Let m(p) = p. What is 7*m(z) + 4*x(z)? -z + 4 Let d(x) = -35*x**3 - 14*x**2 + 14*x - 14. Let q(v) = 12*v**3 + 5*v**2 - 5*v + 5. Suppose -5*i - 30 = a, -131*a + 34 = -127*a - 2*i. What is a*d(t) + 14*q(t)? -7*t**3 Let s(u) = -48*u**2 - 33. Suppose 604*r + 396 = 592*r. Let l(g) = 3*g**2 + 2. Let c = -8 - -8. Suppose -6 = 3*p - c. Give p*s(j) + r*l(j). -3*j**2 Let k(p) = p**2. Let h(m) = 10*m**2 - 6*m + 1. Let o = -9 - -6. Let x(q) = -29*q**2 + 16*q - 2. Let b(t) = o*x(t) - 8*h(t). What is -b(f) + 5*k(f)? -2*f**2 + 2 Let u(c) = 3*c**2 - 4*c + 1. Let d(o) = -3*o - 2*o**2 + 3*o**2 - 1 + 2*o. Suppose 12 = 3*h + 4*r, -4*h - 34 = -161*r + 158*r. Give h*d(a) + u(a). -a**2 + 5 Let n(b) = -2*b**3 - b**2 + b - 1. Let q(f) = 6*f**3 + 3*f**2 - 4*f - 755. Give -4*n(s) - q(s). 2*s**3 + s**2 + 759 Let v(k) = 107*k - 7043. Let d(s) = -268*s + 14086. What is -2*d(i) - 5*v(i)? i + 7043 Let h(b) = 87*b**2 + 35*b + 68. Let y(g) = 22*g**2 + 9*g + 18. Let d(l) = -3*h(l) + 11*y(l). Let q(u) = 18*u**2 + 5*u + 5. Give 5*d(j) + 6*q(j). 13*j**2 Let h(d) = 5*d - 3. Let z(g) = -1 - 9 + 13 + 4 - 6 + g. What is -h(s) + 3*z(s)? -2*s + 6 Let a(k) = -21*k**2 + 14*k. Suppose 0 = -2*i - 4*y - 36, 2*i + 22*y = 21*y - 30. Let b(o) = 7*o**2 - 5*o. Let h be 1/18*-86 + 10/(-45). Give h*a(l) + i*b(l). 7*l**2 Let s(o) = 89*o - 41. Let q(j) = 67*j - 43. What is -4*q(v) + 3*s(v)? -v + 49 Let m(c) = 74*c**3 - 4*c**2 - 32*c + 2. Let t(u) = -148*u**3 + 9*u**2 + 65*u - 4. Give -9*m(k) - 4*t(k). -74*k**3 + 28*k - 2 Let o = 20759/3 - 6919. Let c(u) be the second derivative of 0 -
{ "pile_set_name": "DM Mathematics" }
61 In base 11, what is 78 + -2? 76 In base 2, what is 101 + -11011? -10110 In base 6, what is 105 - -12? 121 In base 16, what is -1 - -9d? 9c In base 11, what is -30 + -51? -81 In base 8, what is 3 - -1646? 1651 In base 5, what is 0 - -20? 20 In base 14, what is 6d - -4? 73 In base 9, what is -12 - 85? -107 In base 12, what is -18 + a? -a In base 2, what is -11001101 - -1? -11001100 In base 16, what is 2 - 7dd? -7db In base 3, what is -22 - -12021? 11222 In base 10, what is -2 + 0? -2 In base 5, what is 144041 - -4? 144100 In base 14, what is -6 - 43? -49 In base 6, what is 10105 - 2? 10103 In base 4, what is -133 + 111? -22 In base 12, what is 1 + 157? 158 In base 7, what is 25561 - 5? 25553 In base 9, what is -12 - 184? -206 In base 14, what is 6d + -2? 6b In base 5, what is 14 - 131? -112 In base 7, what is -4 + 261? 254 In base 7, what is -261 + 60? -201 In base 12, what is 3b + -2? 39 In base 16, what is 1a6f - -4? 1a73 In base 11, what is 522 - 0? 522 In base 13, what is 518 + 2? 51a In base 3, what is 0 + 1202? 1202 In base 3, what is 12 + -2102121? -2102102 In base 8, what is -36 + 6? -30 In base 4, what is 11 - 101102? -101031 In base 9, what is 545 - -3? 548 In base 15, what is 112 - -4? 116 In base 12, what is 12 - 68? -56 In base 7, what is -612 - -2? -610 In base 14, what is -2d2 + -b? -2dd In base 6, what is -54 - 2? -100 In base 10, what is 307 + -36? 271 In base 11, what is -10 + 126? 116 In base 16, what is 1ac + 5? 1b1 In base 12, what is -85 + -14? -99 In base 12, what is 6 - -a? 14 In base 5, what is 3 - 204? -201 In base 13, what is 40 + -7? 36 In base 5, what is 12211 - -2? 12213 In base 9, what is 2 + -3106? -3104 In base 9, what is 3 + -7000? -6886 In base 6, what is -4 - -111? 103 In base 10, what is -12 + 11? -1 In base 15, what is 43 - -5? 48 In base 12, what is -49 + 7? -42 In base 8, what is 11 + 4? 15 In base 4, what is -3001 - 1? -3002 In base 16, what is -a9 - -7? -a2 In base 13, what is 28 + -1c? 9 In base 6, what is 214 - -5? 223 In base 12, what is 18 + 8? 24 In base 10, what is -14 - 249? -263 In base 4, what is 1113 + 13? 1132 In base 3, what is 20211 + 202? 21120 In base 14, what is 5 + -5c? -57 In base 7, what is -34 - -666? 632 In base 11, what is -96 - -4? -92 In base 6, what is -11 + -4341? -4352 In base 2, what is 11111 - -11110000? 100001111 In base 7, what is -2 + 102? 100 In base 4, what is -312 - 10? -322 In base 5, what is -1 - -123310? 123304 In base 11, what is 102 - -15? 117 In base 10, what is -56 - 1? -57 In base 5, what is -110241 + -10? -110301 In base 6, what is -331 - 3? -334 In base 3, what is 10121 - -20? 10211 In base 5, what is -1 + 2? 1 In base 6, what is 53 + 1? 54 In base 7, what is -33045 + 5? -33040 In base 14, what is 63 + -1? 62 In base 14, what is 36 - -3? 39 In base 2, what is 1 - 100111? -100110 In base 12, what is -10 - 103? -113 In base 3, what is 102 + -2010? -1201 In base 6, what is -4 + -524? -532 In base 8, what is 5 - 6? -1 In base 13, what is -13 + -c? -22 In base 2, what is 1 + -101000000? -100111111 In base 6, what is 24 - 421? -353 In base 9, what is 101 - 440? -338 In base 16, what is -3 - -132? 12f In base 15, what is -24 - -1? -23 In base 3, what is 11 - 100? -12 In base 6, what is -35 - 1215? -1254 In base 7, what is -603 - 3? -606 In base 4, what is -3 - 201? -210 In base 11, what is -129 - 25? -153 In base 16, what is 1d + -3c? -1f In base 5, what is 12 + -3? 4 In base 3, what is -12 - -2010012? 2010000 In base 6, what is 1251 + 4? 1255 In base 6, what is 5 - 203? -154 In base 5, what is -3 + 11? 3 In base 14, what is 8 - -a? 14 In base 15, what is -3e + -1? -40 In base 7, what is -1006 + -1? -1010 In base 3, what is 22 - -211012? 211111 In base 4, what is 1 - 223? -222 In base 4, what is 10 + -1001? -331 In base 14, what is 1 + -2d1? -2d0 In base 11, what is -9 + -54? -62 In base 15, what is -35e7 + -1? -35e8 In base 12, what is 418 - 3? 415 In base 8, what is -4 + 12? 6 In base 6, what is 30001 - -5? 30010 In base 7, what is 313 + 5? 321 In base 2, what is -1101 + 100001101? 100000000 In base 11, what is 0 + 1? 1 In base 13, what is -5 - 187? -18c In base 7, what is 1 + 4554? 4555 In base 12, what is 0 + -23? -23 In base 13, what is -2 - 19? -1b In base 16, what is -2 - 93? -95 In base 9, what is -6715 - -2? -6713 In base 5, what is 14 + -43? -24 In base 7, what is 1 + -11? -10 In base 13, what is -1 + -8a8? -8a9 In base 8, what is -1 + 2452? 2451 In base 3, what is -1122 - 10120? -12012 In base 9, what is -6 + 30? 23 In base 13, what is 11 - -10? 21 In base 6, what is 103 - -130? 233 In base 15, what is -228 - 2? -22a In base 2, what is 110110010 + 101011? 111011101 In base 4, what is 2231 - -10? 2301 In base 8, what is 15 - -211? 226 In base 15, what is -3 + de? db In base 13, what is -3b9 + c? -3aa In base 5, what is 2 - 10320? -10313 In base 10, what is -195 - -4? -191 In base 9, what is 33 - 42? -8 In base 8, what is 1 - 1473? -1472 In base 2, what is -11101101 - 10000? -11111101 In base 5, what is 1 - -313? 314 In base 9, what is 4 + -4? 0 In base 13, what is -27 + -17? -41 In base 12, what is 1119 + -2? 1117 In base 2, what is -11011 - -10111? -100 In base 9, what is 164 - -4? 168 In base 5, what is -1030 + 0? -1030 In base 9, what is 2563 + 1? 2564 In base 6, what is -3 + 33413? 33410 In base 14, what is 76a - -4? 770 In base 9, what is 434 - 34? 400 In base 10, what is -8579 - -2? -8577 In base 6, what is 1 - 135? -134 In base 3, what is -11100 + -11? -11111 In base 9, what is 10 - -127? 137 In base 6, what is -1000 + 23? -533 In base 8, what is 2 + 36? 40 In base 3, what is 12 - 1212? -1200 In base 15, what is -6a + -17? -82 In base 10, what is -644 - 4? -648 In base 7, what is -60 - 26? -116 In base 4, what is 200022 + -10? 200012 In base 5, what is 1201 - -4? 1210 In base 12, what is 3 + -20? -19 In base 8, what is -12345 + -2? -12347 In base 14, what is 81 - 75? a In base 14, what is 51 - 0? 51 In base 3, what is 2210 - -1? 2211 In base 11, what is -332 - 14? -346 In base 16, what is 2fe - 1? 2fd In base 12, what is 3 + -b? -8 In base 10, what is -11792 - -1? -11791 In base 7, what is -6 - -50? 41 In base 6, what is -10203 + -4? -10211 In base 9, what is 33 - -2? 35 In base 13, what is 41 - 1b8? -177 In base 15, what is 2d - -5? 33 In base 9, what is 1 - -4071? 4072 In base 9, what is 3 - -10? 13 In base 12, what is 2 - -84? 86 In base 14, what is 7c + -16? 66 In base 12, what is 5 - 572? -569 In base 3, what is -2000 - 1? -2001 In base 7, what is -2551 + 1? -2550 In base 13, what is 41 + -5? 39 In base 10, what is 5 - -273? 278 In base 9, what is -337 - 30? -367 In base 16, what is 5 + -52? -4d In base 11, what is 632 - 5? 628 In base 8, what is 420 - -4? 424 In base 2, what is -11110 + 1000111001? 1000011011 In base 9, what is -44 - 1? -45 In base 7, what is -13346 + 0? -13346 In base 10, what is -5 - 41? -46 In base 16, what is -18a9 - 3? -18ac In base 14, what is dc - b? d1 In base 4, what is 3020001 - 2? 3013333 In base 2, what is -11000 + -110? -11110 In base 13, what is 3 - -1191? 1194 In base 12, what is -a7 + -38? -123 In base 6, what is 0 + 34? 34 In base 9, what is -3 + -22? -25 In base 10, what is -1407 + 4? -1403 In base 2, what is -1101110 + 10000? -1011110 In base 9, what is 1348 + 5? 1354 In base 2, what is -10 + -11101011? -11101101 In base 5, what is -2 + -20003? -20010 In base 13, what is -4 + -281? -285 In base 15, what is c5 - -5? ca In base 5, what is 12040 - 14? 12021 In base 8, what is 1162 + 4? 1166 In base 7, what is -21 + -204? -225 In base 13, what is -5 - -76? 71 In base 13, what is -1 - 12? -13 In base 16, what is 2 + 725? 727 In base 8, what is 5 - -100? 105 In base 12, what is -314 + 6? -30a In base 2, what is 10001 + 1110100111? 1110111000 In base 4, what is 12 + 20313? 20331 In base 4, what is -111 - 31? -202 In base 11, what is 2 - 114? -112 In base 16, what is 20 - 3? 1d In base 7, what is -12112 + -1? -12113 In base 11, what is 2 + 105? 107 In base 7, what is -1 + 11? 10 In base 13, what is 1 + 96? 97 In base 6, what is -15 + -30? -45 In base 12, what is 7 + 740? 747 In base 5, what is -4 - 4? -13 In base 9, what is -7345 - 5? -7351 In base 12, what is -1a09 + -3? -1a10 In base 9, what is -164 + -8? -
{ "pile_set_name": "DM Mathematics" }
-0.18 Sort -5436454, 2, 4. -5436454, 2, 4 Sort 5, -2, 0, -5, -5663, 2 in descending order. 5, 2, 0, -2, -5, -5663 Put -2605, -16, 1, 15, 4 in ascending order. -2605, -16, 1, 4, 15 Sort 39, 1, 6, 69. 1, 6, 39, 69 Put 0, 7882, -42, -4, 10 in decreasing order. 7882, 10, 0, -4, -42 Put 0, 2/11, -0.1, 5, 4/7, 17, 0.4 in descending order. 17, 5, 4/7, 0.4, 2/11, 0, -0.1 Sort 6, 921, -63, 3, 1. -63, 1, 3, 6, 921 Sort -10, -366, -2, 7, 4, 2 in ascending order. -366, -10, -2, 2, 4, 7 Put -3, -8, -5, 4224, -6, 1 in ascending order. -8, -6, -5, -3, 1, 4224 Put -4/3, 5, 0.2, -8162376, -4 in descending order. 5, 0.2, -4/3, -4, -8162376 Sort 5, -2, -6, 1, 6, 4, 38 in ascending order. -6, -2, 1, 4, 5, 6, 38 Put 0.9, 5/27, 22, -6, 1/2 in increasing order. -6, 5/27, 1/2, 0.9, 22 Sort -5, 3/92, 68646. -5, 3/92, 68646 Put 33, 36, 67, -30, -3 in ascending order. -30, -3, 33, 36, 67 Sort -5, 23, -6, -336, -4, -2. -336, -6, -5, -4, -2, 23 Sort -1, 3, -5, 5, 225054 in ascending order. -5, -1, 3, 5, 225054 Put 3/166, 3, -4, -8, 0, -0.3, -14 in decreasing order. 3, 3/166, 0, -0.3, -4, -8, -14 Put -1571, 2/1305, 0.3 in descending order. 0.3, 2/1305, -1571 Sort 4.2, 1/17, -10/9, -0.5, 1/3, 3. -10/9, -0.5, 1/17, 1/3, 3, 4.2 Sort -4, -0.8, -226, 0.3, -4.63 in decreasing order. 0.3, -0.8, -4, -4.63, -226 Put 5, 2, -42, -3, -38, -34, 4 in ascending order. -42, -38, -34, -3, 2, 4, 5 Sort -0.4, 0.0471, -1108 in decreasing order. 0.0471, -0.4, -1108 Sort 4, -4, 87, 9, 2, 1, 83 in increasing order. -4, 1, 2, 4, 9, 83, 87 Put -0.026, -658, 3/94, 0 in ascending order. -658, -0.026, 0, 3/94 Put 0, -11, -129, 13, -6, -50 in decreasing order. 13, 0, -6, -11, -50, -129 Sort 1/3, 45, -36, 9, -0.1 in descending order. 45, 9, 1/3, -0.1, -36 Put 71, -2, 10113 in decreasing order. 10113, 71, -2 Sort 1.67, 301/12, 323 in decreasing order. 323, 301/12, 1.67 Sort 0.2, 3/4, -5358, 0.3, 0, 16/11 in increasing order. -5358, 0, 0.2, 0.3, 3/4, 16/11 Sort 3, 1, 2, -176, -4, -5. -176, -5, -4, 1, 2, 3 Put 19, 30, -30, -42, 4 in ascending order. -42, -30, 4, 19, 30 Sort -8, -2/7, -1.3268. -8, -1.3268, -2/7 Sort 0.12, 0.4, -0.4, 0.1, 5032, -1 in descending order. 5032, 0.4, 0.12, 0.1, -0.4, -1 Put 43, -5, 94, 79, -3 in descending order. 94, 79, 43, -3, -5 Put 4, 5, 14145, -13 in descending order. 14145, 5, 4, -13 Put -423, 4, 1, 53 in descending order. 53, 4, 1, -423 Sort -1/2, -2/9, -1/6, 33, 2/325. -1/2, -2/9, -1/6, 2/325, 33 Put 116, -5, -7, -2, 0, -9, -1 in decreasing order. 116, 0, -1, -2, -5, -7, -9 Sort -3, -54, -37, -4, 6 in increasing order. -54, -37, -4, -3, 6 Sort 2, -98, -12513, -0.1. -12513, -98, -0.1, 2 Sort -1, -7, 1/2, -4, -55597 in increasing order. -55597, -7, -4, -1, 1/2 Sort 1, -4, 214, 3, 788, 0, -1/5 in increasing order. -4, -1/5, 0, 1, 3, 214, 788 Sort 0.02, 2/3, -16299948 in descending order. 2/3, 0.02, -16299948 Put 1, 4, 32, 7, 4612 in descending order. 4612, 32, 7, 4, 1 Put 0.5, 5.85, -5167 in descending order. 5.85, 0.5, -5167 Sort 1, 0, 276864, 5, 9 in increasing order. 0, 1, 5, 9, 276864 Put -1/3, -6507873, 0.2 in decreasing order. 0.2, -1/3, -6507873 Sort 0.2, 2/5, 1110, 1/3, 0 in decreasing order. 1110, 2/5, 1/3, 0.2, 0 Sort -0.3, 1, 0.13, -0.2, -9489. -9489, -0.3, -0.2, 0.13, 1 Sort 72, -17, 5, 36, -3, -15 in increasing order. -17, -15, -3, 5, 36, 72 Sort 46, 3, 7, 2057 in ascending order. 3, 7, 46, 2057 Put 42, 485, 3, -11, -1 in decreasing order. 485, 42, 3, -1, -11 Put -2, -1, -134598 in descending order. -1, -2, -134598 Sort 0.3, 2/7, 4, -158, -5, -8384 in descending order. 4, 0.3, 2/7, -5, -158, -8384 Sort 4, -4068, -2, -1, 2, -3 in descending order. 4, 2, -1, -2, -3, -4068 Sort -1895, -2, 1, 2, 19 in descending order. 19, 2, 1, -2, -1895 Sort -393, -9/2, -46, -9 in increasing order. -393, -46, -9, -9/2 Put 3, 49257, 6, 4 in increasing order. 3, 4, 6, 49257 Put -39015, 180, -3, 3 in increasing order. -39015, -3, 3, 180 Put 129, 566, 2, -5 in decreasing order. 566, 129, 2, -5 Sort -18, 44, -5, 1752, 5 in ascending order. -18, -5, 5, 44, 1752 Sort -1, -66, 192, -5, 3, -41 in decreasing order. 192, 3, -1, -5, -41, -66 Sort -203, -9251, -0.5, 5. -9251, -203, -0.5, 5 Sort 270, 18, 2, 4, -5, 5 in decreasing order. 270, 18, 5, 4, 2, -5 Sort -0.1, 3, 200, -2471 in descending order. 200, 3, -0.1, -2471 Sort -0.5, 0.1833, 376, 0.4. -0.5, 0.1833, 0.4, 376 Sort 2, -2/3667, 0.8, -1/38 in decreasing order. 2, 0.8, -2/3667, -1/38 Put 744, 2060, 2/9 in descending order. 2060, 744, 2/9 Sort 1, -64199, 48, 5, 3 in descending order. 48, 5, 3, 1, -64199 Sort -0.7, -5, -309, 119, -0.4, -8 in increasing order. -309, -8, -5, -0.7, -0.4, 119 Sort -1, 0.4, -37, -0.2, 3/8, -9/4. -37, -9/4, -1, -0.2, 3/8, 0.4 Sort 2/531, 1055, -4. -4, 2/531, 1055 Put -234, -0.9, -8, -8696 in ascending order. -8696, -234, -8, -0.9 Sort 4, 2396085, 15 in descending order. 2396085, 15, 4 Sort -8321, -98, 5, -3. -8321, -98, -3, 5 Sort 2, -47185, 19, -240 in descending order. 19, 2, -240, -47185 Put -4/145, -1/2, -12, 1, -0.06, 2 in decreasing order. 2, 1, -4/145, -0.06, -1/2, -12 Sort -1/14, 0.031, -3, 1/6, 24, -1 in descending order. 24, 1/6, 0.031, -1/14, -1, -3 Put -2, 84, -91, 2, 4, 0, -8 in decreasing order. 84, 4, 2, 0, -2, -8, -91 Sort 3427, -19, 2/5, -4, 4 in ascending order. -19, -4, 2/5, 4, 3427 Put 28/1151, -2/101, 3/7 in decreasing order. 3/7, 28/1151, -2/101 Sort 3.35845538, 0, -1. -1, 0, 3.35845538 Sort 4, -1, -2762, -20, 3 in decreasing order. 4, 3, -1, -20, -2762 Sort -11, -2, -101, 96, 6 in descending order. 96, 6, -2, -11, -101 Sort -41, 11, -116, 2 in increasing order. -116, -41, 2, 11 Put -4, 10/11, -318/1075 in increasing order. -4, -318/1075, 10/11 Put -279, -130, 20 in descending order. 20, -130, -279 Put 67, -14, -5, 87 in ascending order. -14, -5, 67, 87 Sort 2, -8, -2, 357749 in ascending order. -8, -2, 2, 357749 Sort -2.14, -34, 455, 3/7, -0.9 in descending order. 455, 3/7, -0.9, -2.14, -34 Put -1/3, -1/17, -28, -12/11, -82 in increasing order. -82, -28, -12/11, -1/3, -1/17 Sort 3310436, 2, 2/13 in decreasing order. 3310436, 2, 2/13 Sort -2200, 7, -215 in increasing order. -2200, -215, 7 Sort 4, 8, 4483841 in increasing order. 4, 8, 4483841 Sort 5, 39, -19, -214, 40. -214, -19, 5, 39, 40 Put -5, 3810, 3, 0.07, 2/15, 5 in ascending order. -5, 0.07, 2/15, 3, 5, 3810 Sort -1, 2, 115, 40104, 5. -1, 2, 5, 115, 40104 Sort -29893, -5, 3, -0.5. -29893, -5, -0.5, 3 Put 0.2, 17/4242, -4, 2 in descending order. 2, 0.2, 17/4242, -4 Sort -3, -2, 2/3, -74519 in descending order. 2/3, -2, -3, -74519 Sort -0.0283, 15, -0.4, -5, -1/105 in descending order. 15, -1/105, -0.0283, -0.4, -5 Put 2, 532, -39, -6, 4, -3 in descending order. 532, 4, 2, -3, -6, -39 Put -1/2, 5, -0.11, -16/29 in increasing order. -16/29, -1/2, -0.11, 5 Put -4, -2, 3, 1, 2, 9494 in increasing order. -4, -2, 1, 2, 3, 9494 Put 0, -47, 1, 3, 5, -5, -917 in increasing order. -917, -47, -5, 0, 1, 3, 5 Sort -2, 0, 3, 48, -2803 in decreasing order. 48, 3, 0, -2, -2803 Put -3, 998, 5, -9509, 4 in decreasing order. 998, 5, 4, -3, -9509 Put 4, 100945, -2, 3, 1 in descending order. 100945, 4, 3, 1, -2 Put 174711, 17, -4, -6 in decreasing order. 174711, 17, -4, -6 Put -141, 1952, -4 in ascending order. -141, -4, 1952 Sort 3/5, 23, 16, 160/671 in descending order. 23, 16, 3/5, 160/671 Sort 4, 91176, -4, 1, 45, 0 in ascending order. -4, 0, 1, 4, 45, 91176 Put -1, 3, -4, -3, -144, 3376 in decreasing order. 3376, 3, -1, -3, -4, -144 Put 1, 3, -213, 4, -2, -13, -5 in descending order. 4, 3, 1, -2, -5, -13, -213 Put -5, -13, -4, -23, 55, 94, 0 in descending order. 94, 55, 0, -4, -5, -13, -23 Sort 4, -12, -6, 17, 5, -2, -79 in increasing order. -79, -12, -6, -2, 4, 5, 17 Put -1, -3, -5, -4, -1648, 2, -10 in increasing order. -1648, -10, -5, -4, -3, -1, 2 Put 3, -953, 46 in decreasing order. 46, 3, -953 Put -36, -1, -47, 58, -52, 3 in descending order. 58, 3, -1, -36, -47, -52 Put 3, -3.5, -17384 in decreasing order. 3, -3.5, -17384 Sort 4, 2, -70, -3. -70, -3, 2, 4 Sort 0.188, 0.7, -11.91 in descending order. 0.7, 0.188, -11.91 Sort -4/7, 1/8, 0.2, -39034, 3, 4. -39034, -4/7, 1/8, 0.2, 3, 4 Put 30, 2, 4, 15, -3, -20 in increasing order. -20, -3, 2, 4, 15, 30 Sort 4559, 135, 9/7. 9/7, 135, 4559 Put -5, -2, -6, 8, -502, 0, -1 in decreasing order
{ "pile_set_name": "DM Mathematics" }
0101100101100 (base 2) to base 4. -101312230230 What is 11011010001010111100010 (base 2) in base 15? 96336b Convert 63032620 (base 7) to base 6. 305352054 Convert -12511 (base 14) to base 9. -67527 What is 1012230100 (base 4) in base 8? 1065420 Convert 12114431 (base 7) to base 8. 4074527 -ed7ce7 (base 16) to base 2 -111011010111110011100111 Convert -29e23 (base 15) to base 16. -20e98 Convert 54ce6 (base 16) to base 15. 6cdcb What is 2038780 (base 12) in base 11? 3461866 What is -66033450 (base 7) in base 5? -2421434430 -9a11a (base 12) to base 2 -110001110100100110 Convert -10322411 (base 5) to base 16. -15c12 295ba6 (base 14) to base 13 3b4354 What is 1110010110111111010111 (base 2) in base 3? 21002020111012 What is 3ea28 (base 15) in base 4? 301023011 Convert 294172 (base 10) to base 6. 10145524 Convert f43c3 (base 16) to base 14. 1c0803 11ac84c (base 13) to base 12 1a19630 What is -1c9e9c (base 15) in base 10? -1400547 What is -11655050 (base 9) in base 7? -66331143 -20010222131 (base 4) to base 10 -2116253 655016 (base 10) to base 7 5365445 -20101112211 (base 3) to base 16 -1eb5c What is 9192a (base 13) in base 7? 2134234 Convert -1388566 (base 9) to base 5. -144023443 What is a13061 (base 11) in base 6? 54530351 What is 6654710 (base 8) in base 16? 1b59c8 Convert 4040144 (base 7) to base 5. 110332111 13b938c (base 13) to base 6 342300035 Convert -3204527 (base 8) to base 14. -1834d9 Convert 1020002424 (base 6) to base 2. 101000100101001101010000 What is -3056360 (base 7) in base 9? -618628 What is -349969 (base 10) in base 7? -2655214 What is -220414 (base 5) in base 13? -3604 -800aa2 (base 11) to base 2 -100111010111000000010 What is -31879 (base 11) in base 10? -46308 Convert -1001000111100110011000 (base 2) to base 5. -1102443144 Convert 35f53 (base 16) to base 12. a7a97 Convert -261432 (base 7) to base 8. -136706 Convert -7487745 (base 9) to base 16. -3d4192 What is -643334 (base 8) in base 12? -a4338 What is -268fa (base 16) in base 12? -774a2 -235512130 (base 7) to base 2 -110111111110111011010100 -159681 (base 10) to base 2 -100110111111000001 What is 6b718 (base 15) in base 10? 342473 Convert e5191d (base 15) to base 9. 22437001 Convert -1315abb (base 12) to base 10. -3763439 What is c9dd97 (base 16) in base 6? 1151315303 -50520324 (base 6) to base 14 -297364 -1300102 (base 4) to base 3 -100212011 Convert 3311a94 (base 11) to base 6. 324345505 Convert 11100000110000101 (base 2) to base 12. 56719 What is 10010000010110100 (base 2) in base 12? 36930 Convert 61313 (base 9) to base 14. 109c2 What is -7963cc (base 13) in base 4? -22330223011 -101100011011101 (base 2) to base 9 -34176 Convert 32133165 (base 8) to base 2. 11010001011011001110101 -580104 (base 10) to base 11 -366928 What is 133032000300 (base 4) in base 14? 1130652 Convert -1b391 (base 14) to base 9. -115066 What is 82d95e (base 15) in base 3? 102201010022022 Convert 2632b (base 16) to base 6. 3204203 Convert 163730 (base 12) to base 16. 5ca54 45b0a8 (base 16) to base 3 22121001000212 Convert -375516 (base 9) to base 15. -47479 33435331 (base 6) to base 15 15106a What is -a307 (base 15) in base 16? -8680 -c80d79 (base 14) to base 4 -121303111133 -3122522 (base 6) to base 3 -21200002012 13355356 (base 7) to base 3 2100001002021 431012 (base 5) to base 15 4472 Convert -345100 (base 10) to base 8. -1242014 What is 3520746 (base 10) in base 16? 35b8ea Convert 28a72 (base 14) to base 4. 120213230 What is 10054211 (base 6) in base 16? 4627f Convert 2632366 (base 7) to base 14. 8d636 Convert -a39165 (base 11) to base 2. -110010110111000101100 Convert 37b99 (base 16) to base 2. 110111101110011001 What is -4611052 (base 10) in base 3? -22200021011201 Convert -100111110001000010011000 (base 2) to base 15. -dadaec Convert 14624000 (base 8) to base 2. 1100110010100000000000 Convert 1419635 (base 11) to base 6. 124210513 What is -1111021022 (base 3) in base 4? -13022231 Convert 132462053 (base 7) to base 13. 1a060c9 Convert -10000110100010101011000 (base 2) to base 4. -100310111120 Convert -154514103 (base 6) to base 4. -30213113313 What is 12b765 (base 14) in base 5? 131140201 1024501 (base 6) to base 9 75881 Convert 3da913 (base 16) to base 10. 4040979 -142244133 (base 5) to base 6 -23534524 111110222121 (base 3) to base 4 1000302001 Convert -2304165 (base 7) to base 6. -10053323 -a774 (base 14) to base 10 -28914 What is -100121210012100 (base 3) in base 11? -2982810 Convert 2531300 (base 6) to base 15. 2a639 Convert -2521030 (base 6) to base 12. -66176 -32331130 (base 4) to base 8 -167534 Convert 144031241 (base 5) to base 6. 24242052 What is -2002040 (base 7) in base 14? -62020 7392356 (base 10) to base 13 16ba99a -126b2c8 (base 14) to base 12 -2b77054 Convert 332223303 (base 5) to base 12. 5985a5 Convert 223001 (base 14) to base 16. 11b609 Convert 24e57 (base 16) to base 3. 21200022022 -1021431124 (base 5) to base 9 -4020805 Convert -103022242 (base 5) to base 12. -192114 What is 1010112202102 (base 3) in base 12? 24bb3b What is -1011010100100111110 (base 2) in base 7? -3103436 -3252710 (base 8) to base 14 -18a6b6 Convert -4473344 (base 10) to base 2. -10001000100001000000000 What is -3bf93e (base 16) in base 13? -a77cca What is -31784 (base 14) in base 7? -1005224 -1011000010110001101100 (base 2) to base 6 -142014324 What is c18c (base 13) in base 9? 40500 Convert 1086014 (base 9) to base 16. 8fa1c Convert 11000110111010111 (base 2) to base 5. 11224342 What is -1010110101111010001 (base 2) in base 8? -1265721 32424172 (base 8) to base 14 cd15b4 -3120311 (base 6) to base 5 -14303301 What is -143625 (base 8) in base 16? -c795 Convert -1501 (base 16) to base 6. -40521 e54b15 (base 15) to base 9 22453442 -3031043 (base 5) to base 2 -1011111100000010 What is -25005104 (base 7) in base 5? -1033041344 834b8 (base 14) to base 6 10441150 Convert 58141 (base 12) to base 4. 130233001 Convert 12955 (base 15) to base 9. 100528 What is 822443 (base 10) in base 8? 3106253 389e1f (base 16) to base 8 16117037 -1b4a9a6 (base 14) to base 3 -221122101221111 Convert -100111010000100010011 (base 2) to base 9. -2370564 Convert 9b10b1 (base 15) to base 7. 116566105 -200133101201 (base 4) to base 10 -8516705 Convert 4401303300 (base 5) to base 11. 5340774 Convert -202011314 (base 6) to base 10. -3454174 Convert -3c2bcb (base 13) to base 11. -90a219 What is 1162d (base 15) in base 8? 154141 -10434223 (base 6) to base 15 -638d9 What is -14244212 (base 5) in base 11? -a2712 What is -11003220203 (base 4) in base 12? -53b16b Convert 716924 (base 10) to base 16. af07c Convert 10421442043 (base 5) to base 13. 2502493 60962 (base 16) to base 6 12251322 Convert -2212301 (base 7) to base 3. -111211022112 Convert 2386876 (base 12) to base 2. 11010010011100101011010 5803896 (base 11) to base 9 21081838 11111011110100001011 (base 2) to base 11 644a29 a0756 (base 11) to base 3 21111002020 Convert 56681 (base 9) to base 7. 215011 What is -159d79 (base 15) in base 8? -3772632 181d0 (base 14) to base 7 342050 Convert -10110434 (base 5) to base 2. -10100000001001010 -31523 (base 13) to base 2 -10101101010110010 Convert 38dcb7 (base 16) to base 7. 43450326 What is -1320350 (base 6) in base 15? -16829 What is -22330100 (base 4) in base 8? -127420 Convert 1033400 (base 5) to base 12. a49b -301210211 (base 6) to base 8 -23355537 What is 122001211022 (base 3) in base 10? 335942 Convert 6baf1b (base 16) to base 8. 32727433 Convert -320300123 (base 4) to base 10. -232475 -220203124 (base 5) to base 6 -32123044 What is 210003012 (base 4) in base 15? 2db39 -21210301 (base 4) to base 11 -27512 What is -2216053 (base 8) in base 5? -123101120 What is -1116144 (base 8) in base 5? -34132210 Convert -211341440 (base 5) to base 7. -10353233 What is 100010101000101010 (base 2) in base 10? 141866 367470 (base 14) to base 15 26c4a8 200311021 (base 4) to base 5 13300343 What is -11001100100100010 (base 2) in base 13? -3889a What is -20105312 (base 6) in base 16? -8ae0c What is 40430243 (base 5) in base 4? 1033310210 Convert 1000011100100011111 (base 2) to base 6. 5533155 Convert 265803 (base 10) to base 5. 32001203 -2105500 (base 6) to base 9 -165350 What is aea501 (base 15) in base 2? 11111110011011111100000 Convert -78557 (base 11)
{ "pile_set_name": "DM Mathematics" }
4*y, -k + 2*y + 70 = 0. Suppose k = -2*q + 312. Is q composite? True Suppose 60 = 2*v + v. Let d be 1308/v + 2/(-5). Let b = d + -44. Is b prime? False Let w be (-908)/(-5) + 14/35. Let t(g) = g - 10. Let o be t(14). Suppose -o*k + 522 = w. Is k prime? False Let u(y) = -6*y + 77. Let d(m) = -m. Let b(h) = -5*d(h) + u(h). Is b(0) composite? True Suppose 34 - 142 = -3*o. Suppose 0 = -4*j - 3*y + 25, 4*j + 0*j - 4*y - 32 = 0. Suppose j*l = 3*l + o. Is l a prime number? False Suppose -v + 15 = -6*v. Let k be (v - 4/(-2)) + 3. Suppose -5*j + 35 = k*r - 51, j = -r + 37. Is r composite? True Suppose 10 = -2*d, -2*r + 5*d - 3 = -42. Let x = 8 - 4. Suppose -75 = -r*p + x*p. Is p a composite number? True Let w(m) = -15*m**3 + m**2 - m - 1. Let c be w(-1). Suppose -40 = -4*f - c. Is f composite? True Let d = 233 - -47. Suppose -3*k + d + 389 = 0. Is k a composite number? False Suppose -6 - 3 = -3*s. Suppose s*a + 174 = 3*r, -3*r - a - 117 = -5*r. Is r a prime number? True Let g be (-8 + -2)*4/(-8). Suppose -3*s + 0*t + g = -2*t, -3*s + 5*t = 1. Suppose -s*j + j + 166 = 0. Is j prime? True Let z(v) = 2*v**2 - 4*v + 1. Is z(8) composite? False Suppose -4*v = q - 26 + 7, -2*q = -5*v + 14. Let w = -19 - -8. Let a = q - w. Is a a composite number? True Let a = 2298 + -899. Is a composite? False Is (-879)/(-9) - ((-1)/3 - -1) a prime number? True Is (1 - 555/(-6))*2 a composite number? True Let d(k) = k**2 - 19*k - 25. Is d(-15) a composite number? True Let x = -4 - -8. Let f(j) = -16*j**2 - j + 1. Let k be f(x). Is k/(-4) + 4/16 composite? True Let l be (-18)/12*170*1. Let u = -124 - l. Is u a composite number? False Let b(k) = -2*k - 12. Let t be b(-8). Suppose -m = 4*c - 95, t*c + 6*m = 2*m + 80. Is c composite? True Let y(f) = -f**2 - 7*f - 6. Let c be y(-5). Suppose -2*l + l - 30 = -h, 2*h = -c*l + 30. Is h a prime number? False Suppose 0 = l + 4*l + 15, 4*l = b - 15. Suppose -b*q = -8*q + 55. Suppose -c + 46 = q. Is c composite? True Suppose -2*c - 7100 = 4*w + 2*c, -3*c = -5*w - 8867. Is (-4)/(-14) - w/14 a prime number? True Let s be ((-12)/(-9))/((-1)/(-3)). Suppose -3*q = -o - 194, -2*q + o = -3*q + 66. Suppose 0 = s*b - q - 11. Is b a prime number? True Suppose 2*t = -0*t + 218. Is t a prime number? True Suppose 4*u - 8 = -0*u. Let d be 152/(-7) + u/(-7). Is (d/4)/(3/(-30)) a prime number? False Let j be 1/(-2) - 2/(-4). Suppose j = -4*z + 84 + 256. Is z a prime number? False Let t be ((-5)/3)/(1/3). Let z(m) = m**3 + 5*m**2 - m - 1. Is z(t) a composite number? True Let f(c) = c**3 - 9*c**2 - 3*c - 7. Let n be f(7). Let i(w) = 27*w + 4. Let v be i(-3). Let l = v - n. Is l composite? True Let m be (3/2)/(6/344). Let k = 225 - m. Is k a composite number? False Suppose -968 = -4*f + 3*s - 67, -3*f = -s - 672. Is f composite? False Let s be 3/((-18)/3)*2. Let f(a) = -186*a**3 - 1. Is f(s) a prime number? False Is (1258/3)/2 - 2/3 a composite number? True Let k = -13 + 11. Let o(i) = -2*i + 1. Let v be o(1). Is 83 - (k/v + -2) composite? False Suppose 30 = w + 5*z, -4*w - 3*z + 120 = -2*z. Let f = 67 - w. Is f composite? False Let f = 855 + -508. Is f a composite number? False Let j(k) = 10*k - 25*k - 24*k - 20*k. Is j(-1) a composite number? False Suppose -2*m + 148 = 2*n - 4*m, 0 = -3*n + 2*m + 222. Is n composite? True Let z(x) = -x**3 - 3*x**2 + 2*x - 6. Is z(-8) prime? False Let x be 0 - 3 - -3 - 493. Let p = 704 + x. Is p composite? False Is (-84)/(-8)*(330/9)/5 composite? True Is (2727/6)/(-9)*-34 a composite number? True Suppose -4*t = -0*t - 3*d - 1213, 0 = 2*t + d - 599. Suppose -4*w = -t - 75. Suppose 6*x = 4*x + w. Is x prime? True Let m be (2/(-4))/(2/(-128)). Suppose g = c + 59, -5*c - m = -12. Is g prime? False Suppose -8*g + 3*g - 70 = 0. Let a = 511 + g. Suppose 5*c - 1054 = -p, 3*p + 561 = 5*c - a. Is c prime? True Let r = 1 - -2. Is (r - 8/3)*99 prime? False Suppose -5*q + 0*q + 3755 = 0. Is q composite? False Let c be (15*1)/3 - 2. Suppose 3*p + 6*b = 3*b + 18, 0 = c*p - b + 2. Is ((-1)/2)/(p/(-12)) composite? True Let v(d) = d**2 - 9*d + 12. Is v(14) a prime number? False Suppose 16 = 4*k - 8. Let l be (-24)/(-16)*(-4)/k. Is 68 + l - (4 - 6) a composite number? True Suppose -4*j - 6*g + 3*g + 11 = 0, -14 = -5*j - 4*g. Suppose s + 361 = j*t, -2*t + 176 = -t + s. Is t composite? False Suppose -u - 2*y + 1 = 23, -2*y + 50 = -5*u. Let c be (-10)/(-3)*u/(-10). Suppose -o + 175 = c*o. Is o a prime number? False Is 2 - (-4 + (-214)/(2 - 0)) composite? False Let m = 7621 + -4802. Is m a prime number? True Let s be (0 + 10/6)*3. Suppose -93 = -3*f - s*w, f - w = 3*f - 62. Is f prime? True Is (-51054)/(-14) - (0 + (-10)/35) composite? True Let w be 2 + 63 - (-4 + 5). Suppose -4*y + 267 = -k, 2*k = y - k - w. Is y prime? True Suppose -3*a + 12 = -5*t - 4*a, -3*a = -5*t - 4. Let g be t/12 + 1048/(-48). Let f = g - -43. Is f prime? False Let w(z) = -9*z + 1. Let r be w(-1). Suppose v = -4*v + r. Suppose 0 = -v*f + f + 35. Is f a prime number? False Let a(q) = q**2 + 12*q + 15. Let c be a(-10). Let m = c - -52. Is m a prime number? True Let x(s) = -3*s - 6*s**2 - 4 - 2*s + s**3 + s**2. Let v be x(6). Suppose v = m - 2. Is m a composite number? True Suppose 0*l + n = -2*l + 3809, -3*l - 5*n + 5724 = 0. Is l a prime number? False Let f(d) be the third derivative of -d**6/120 - 11*d**5/60 + d**4/6 - d**3/2 + 2*d**2. Is f(-12) a composite number? True Let f be 2*(3 + (-36)/4). Is 4*((-429)/f + -3) prime? True Suppose -4*l + l = -15. Suppose -l*n = y - 113, 5*n + 111 = 5*y - 574. Is y a composite number? True Suppose 2*t = 5*t - 267. Is t a composite number? False Is (3 - 9692/(-4))/(3 + -1) composite? False Let o(x) = 7*x + 13. Let i be o(-9). Let a = 33 - i. Is a composite? False Let n be 6/(-3)*1345/10. Let t = 387 + n. Is t composite? True Let f(d) = d**3 - 4*d**2 - 3*d - 5. Let a be f(5). Suppose -3*m + a*m = 0. Suppose m = 5*g - w - 571 + 89, 0 = -g + 2*w + 91. Is g a composite number? False Let s(j) be the third derivative of j**5/60 + j**4/4 - j**3/3 + 3*j**2. Is s(-11) a prime number? True Suppose 0 = 2*c - 3*r + 2145, 5*c - 5*r - 2437 = -7787. Let d = c + 3548. Suppose 5*s = -n + d, 3*s + 383 - 1872 = -n. Is s a composite number? True Let m be 0 - (-1 + 3)/(-1). Suppose -32 = -m*n + n. Let p = n - 1. Is p a prime number? True Suppose -3*i - 12 = 0, -4*v - 2*i = -v - 49. Is v prime? True Suppose 0 = 2*v - 4*v - 40. Is (v/6)/(8/(-132)) prime? False Let v(z) = -5 + 20*z + 2 + 2. Is v(3) composite? False Let j(z) = 8*z + 6. Suppose 5*p = -4*x + 16, 5*x - 20 + 9 = -4*p. Is j(p) a composite number? True Suppose h = z - 36, -4*z - h = -3*z - 44. Let q = z - -143. Is q a prime number? False Let k be (0/(-3))/(-2) + 3. Suppose 5*s - k = 7. Is s a prime number? True Suppose 0 = 2*q - 5*q - 27. Let r = 15 + q. Is ((-2)/(-4))/(1/r) a prime number? True Suppose 3*w - 15 = 3*n, 4*w - w - 17 = n. Let b(j) = -j + 8. Let f be b(w). Suppose -f*t + 171 = -p - 236, 5*p - 807 = -4*t. Is t composite? True Let n = -14 + 26. Let v be (-18)/4*n/9. Let l(j) = -j**2 - 7*j - 4. Is l(v) composite? False Let x be 1*3/6*-252. Let z = 134 - x. Suppose -5*u + z = -u. Is u a prime number? False Let n(t) = 65*t + 2. Let l be n(4). Let d = -179 + l. Is d composite? False Let u(d) = d**3 + 5*d**2 - 6*d + 4. Let o be u(-6). Suppose 4*v = -g + o*g + 278, -3*g - v - 268 = 0. Let y = -11 - g. Is y composite? False Suppose 0 = 6*v - 10*v + 17276. Is v a prime number? False Suppose -t = -5*n + 4437, 0 = -5*n - 3*t + 1822 + 2607. Is n a composite number? False Let o(b) = -b**2 + 9*b - 8. Let r be o(8). Suppose -3*n + 15 = r, q + 5*n - 56 = 192. Is q a prime number? True Is 29190/18 - 4/6 prime? True Let x(n) be the third derivative of -37*n**4/12 - n**3/2 - 3*n**2. Is x(-2) a prime number? False Let b(m) = m**3 + 11*m**2 + 10*m - 2. Let i be b(-10). Let k = 39 + i. Is k + (8 - 2)/(-2) composite? True Let p(h) = 26*h**2 + 5*h. Is p(-3) composite? True Let d = -52 - -14. Let j = d - -157. Is j prime? False Is 2700 + (-1 - -2) + (-32)/(-8) a prime number? False Let a = 337 + 656. Is a a composite number? True Is (-2 - -5) + 416/2 composite? False Suppose -62201 = -23*h + 258948. Is h a composite number? False Let z(d) = -d**2 - 2*d + 113. Is z(0) composite? False Let i = 11 - 7. Sup
{ "pile_set_name": "DM Mathematics" }
the fourth biggest value in -1.84, -5, -0.02, 2, 19, -12, -0.4? -0.4 Which is the biggest value? (a) 0.13 (b) -43/11 (c) -2/167 a Which is the third smallest value? (a) 11 (b) 33 (c) -1579 b Which is the fourth smallest value? (a) -5 (b) 163 (c) -2.611 (d) 2/9 b What is the third biggest value in 3, -4760, -9.4, 3.9? -9.4 What is the second biggest value in 2.9878, 3/2, -15, 1? 3/2 Which is the fifth smallest value? (a) 10 (b) 5 (c) -5 (d) 30 (e) -4/17 d What is the third smallest value in -5/31, 1, 5/4, 4, -27037/2? 1 What is the fourth smallest value in -51, 2/5, 3/7, -11, 24, 27, 3? 3/7 What is the third smallest value in 1, 1/6, 152/23, 8, -2/5, 0.4, -0.5? 1/6 What is the fourth biggest value in 5, 223/16, 3, -4? -4 Which is the third biggest value? (a) 5 (b) 3/4 (c) 17028 b What is the smallest value in 21.57, 0.11, 0.071, -0.4, 5? -0.4 Which is the biggest value? (a) 4 (b) -3 (c) -0.3 (d) 0.879 (e) -2/9 (f) -6 a Which is the fourth biggest value? (a) 0.4 (b) 7 (c) -2/13 (d) -1013 (e) -0.011 c Which is the fourth smallest value? (a) 36 (b) -2/3 (c) -2.557 (d) -118 a Which is the second biggest value? (a) 1 (b) 0.4 (c) -12 (d) -3/8 (e) 1/74 (f) -0.3 (g) 2/7 b Which is the biggest value? (a) 46 (b) 1 (c) 7 (d) 6 (e) -3 (f) 98 f Which is the biggest value? (a) -1/7 (b) -99949 (c) -16 a Which is the sixth smallest value? (a) 3.8 (b) 2 (c) -0.5 (d) -0.3 (e) 26 (f) 0.28 e Which is the fifth smallest value? (a) 0.4 (b) 337 (c) 5/3 (d) -87 (e) 0.2 (f) -1/4 c What is the smallest value in -1, -2672, -9, 0.07? -2672 What is the second biggest value in 1, -0.1, 2/7, 0.4, 0.5, 2.5? 1 What is the smallest value in -116477, -0.5, 16/3? -116477 What is the fifth biggest value in 1.4, 0, 819, 184, 5/2, -2/5, -3? 0 What is the second smallest value in 0, 0.5, -4968/995? 0 Which is the third biggest value? (a) -10.28 (b) 1 (c) -2733 (d) -0.2 a What is the fourth biggest value in 4, 0.3, 41/2, -2/3, -67, -3/2, -3/4? -2/3 Which is the second biggest value? (a) -53075 (b) 5 (c) 2 (d) 3 (e) 0 d Which is the sixth smallest value? (a) -2/5 (b) 0.06 (c) 7 (d) 3/5 (e) -168 (f) 0.4 (g) 21 c What is the second smallest value in -47, -7/8, -18, -0.5, -1, 66? -18 Which is the smallest value? (a) 0.07 (b) -8 (c) 384.6 (d) -3 b Which is the second biggest value? (a) -0.5 (b) -371680 (c) -24 (d) -0.1 a Which is the second biggest value? (a) 12349 (b) 5 (c) -872 b What is the second biggest value in 1, 12742, 0.4, -5/6? 1 What is the second smallest value in -21/1108, -93, 5? -21/1108 What is the sixth smallest value in 4, 1/4, 0.958, 3, -1/21, 0? 4 What is the third smallest value in -5/4, -35494, 0, 0.0373, -1, -4? -5/4 Which is the biggest value? (a) -178 (b) 89 (c) 85 b What is the biggest value in 1, 3, -36820, -2.04? 3 What is the third biggest value in -1/1682, -3, 3305? -3 What is the second smallest value in 11/3, -2/3, 4/5, -6, 0.4, 0.2, 1/10? -2/3 What is the second smallest value in 2, -2439, -1/4, -1, 1/2, -44, 3? -44 Which is the second smallest value? (a) 166.1765 (b) 4 (c) -3/7 (d) 0 (e) 3 d What is the third biggest value in -68/11, -1, -0.06, 0.4, -28? -1 Which is the fourth smallest value? (a) -2.1 (b) -1/3 (c) 5770 (d) -2/11 (e) -2/7 d What is the second biggest value in -743, -1/4, -4, -9, -3, 0.2, 2? 0.2 Which is the second smallest value? (a) 37 (b) 1/2 (c) 1000120 a What is the third smallest value in 0.4, -1, 3, 0.001, -46/3? 0.001 Which is the third biggest value? (a) 0.000189 (b) 4 (c) 0.1 a What is the third biggest value in -2/5, -5, 16/179, 5, -1/2, 0.3? 16/179 What is the sixth smallest value in 1.1, -2.8, -2, -3/4, -2/19, 2853? 2853 Which is the second smallest value? (a) -3 (b) 34 (c) 1/66 (d) 1 c Which is the fifth biggest value? (a) 64 (b) 0.1 (c) 49 (d) -0.1787 (e) -0.3 e What is the fourth smallest value in -10, -5, -8.30992, -0.04? -0.04 Which is the third smallest value? (a) 1054 (b) 4 (c) -37.09 a Which is the fifth biggest value? (a) -4 (b) 4/3 (c) 2/71 (d) 1 (e) -6/667 (f) -1/5 f Which is the third smallest value? (a) -50 (b) 4/3 (c) -59 b Which is the third smallest value? (a) -30528 (b) -2 (c) -2/25 (d) -38 b What is the fifth biggest value in 1/2, -1/3, 54, -18, 6, 5, 7? 1/2 What is the fourth biggest value in -2.9, -3, 0.4, 1/11, 3, -36, -0.1? -0.1 Which is the smallest value? (a) -265 (b) 572 (c) -1 (d) -0.03 (e) 3 a Which is the second smallest value? (a) 2/3 (b) -1/34 (c) 0.52413 c Which is the second biggest value? (a) -0.3 (b) -39/2 (c) 2/5 (d) -322 a What is the smallest value in -27, 11/1131, 0.82? -27 Which is the second biggest value? (a) 2 (b) -55 (c) 337667 a What is the fourth biggest value in -1/167, 0.01, 244, -2/15, -3.3? -2/15 Which is the third biggest value? (a) -21 (b) 0.1 (c) 930 (d) 23.2 b What is the third biggest value in -193, 5, 1, -1064? -193 Which is the third smallest value? (a) 0.4 (b) 9152 (c) 2/953 b What is the third biggest value in 1/10, -4, -1093, -7/6, -0.57? -7/6 Which is the second smallest value? (a) 3 (b) -3 (c) 255109 a Which is the fifth smallest value? (a) 2/19 (b) -5/2 (c) 2/11 (d) -2/5 (e) 5 (f) -0.5 (g) 6496 c Which is the third biggest value? (a) -2 (b) 19.8567 (c) -63 (d) 4 a Which is the second smallest value? (a) -21 (b) -0.2 (c) -46 (d) -9 (e) -1 (f) 7/4 (g) 1/4 a What is the fourth biggest value in 0, -0.13, -1/9, -748, -2, 3? -0.13 Which is the smallest value? (a) -2 (b) 1 (c) 7 (d) 2/17 (e) -0.85 (f) 2 (g) 9 a Which is the biggest value? (a) 89199 (b) 1/7 (c) 19 (d) -1 (e) 5 a Which is the fourth biggest value? (a) 2049 (b) -2/7 (c) 0.09 (d) 20 (e) -3 (f) -4 (g) -0.3 b What is the second biggest value in -132, 1/3, 406271, -4/7, -3? 1/3 Which is the second smallest value? (a) -79040 (b) 0.43 (c) 1/2 b Which is the third smallest value? (a) 0.3 (b) -0.1 (c) -11010.683 a What is the third smallest value in 195/121, -5/3, 1485? 1485 What is the smallest value in 1/10, -10, -0.4, 32/9, 0.15, -3/5? -10 What is the biggest value in 188.35, -2.2, -0.04? 188.35 What is the sixth smallest value in 3, 0.3, 0.2, 0.5, 13, -5502? 13 What is the third biggest value in 5, -31/4, 23, -5/3, 3, 0.2, 0.5? 3 Which is the fourth smallest value? (a) -5/3 (b) -37 (c) 1 (d) 151 (e) -5 (f) -3 a What is the fourth biggest value in 2036, -4/5, -14, 0.06? -14 Which is the second smallest value? (a) 147 (b) -6/13 (c) -3 (d) 0 (e) 20/3 (f) 3/2 (g) -0.1 b Which is the third smallest value? (a) 0.29 (b) -4377 (c) -2 (d) -69 c What is the fourth smallest value in -2, -359, 7, -207/2, 3/5, 0.2? 0.2 What is the sixth biggest value in 0, -1981516, -4, 2/5, -0.1, -2/5? -1981516 What is the second smallest value in 0, -4/13, 166, -2, 41/7? -4/13 Which is the biggest value? (a) 6 (b) -3 (c) 2/15 (d) -1/5 (e) -0.043 (f) 4 (g) 225 g Which is the fourth smallest value? (a) 0.6 (b) 2 (c) 148 (d) -3/5 (e) -2 (f) 9 b Which is the biggest value? (a) 0.1 (b) 95556 (c) -0.144 b What is the fourth smallest value in -17/33, 2, -1/2, 3, 169? 3 Which is the second biggest value? (a) 2/3 (b) 2/805 (c) 5 (d) -1.2 (e) 26 c What is the fifth smallest value in 4, 2, -1/7, -1, 235334, -2, 0? 2 What is the smallest value in -0.04, -11/248, 2/13, -0.07? -0.07 Which is the fifth smallest value? (a) -0.3 (b) -10178 (c) 2 (d) 1/2 (e) 1 c Which is the smallest value? (a) 1 (b) 2 (c) 15 (d) -39.4 (e) 0.009 d What is the fourth smallest value in 1017/290, 2/9, 0.4, -2/3, -10? 0.4 What is the third smallest value in 1/12, 1, 3125.46, -0.11? 1 Which is the biggest value? (a) 266 (b) -0.1 (c) 0.07 (d) -1/5 (e) 8 a Which is the biggest value? (a) 5 (b) 0.03 (c) -3/4 (d) -21/4 (e) -14 a Which is the second smallest value? (a) 2189 (b) 3.5 (c) 1/7 (d) -3/7 c Which is the smallest value? (a) -3 (b) -2/7 (c) 0.067 (d) -2 (e) 0.1 (f) 5 (g) -872 g Which is the fifth smallest value? (a) 0.2 (b) 0.3 (c) -136.1 (d) -2 (e) -58 (f) -2/13 a What is the second biggest value in 2, -31781, 337/6? 2 Which is the biggest value? (a) -7/2 (b) 502 (c) 1 (d) -0.1 (e) 2/7 (f) 211 (
{ "pile_set_name": "DM Mathematics" }
picked without replacement from {o: 3, u: 7, y: 4}. 5/143 Calculate prob of picking 2 b when two letters picked without replacement from {b: 4, h: 3, g: 6}. 1/13 Three letters picked without replacement from vzvzzvvzzzzv. Give prob of picking 1 v and 2 z. 21/44 Calculate prob of picking 1 q and 1 m when two letters picked without replacement from {m: 1, s: 3, n: 2, p: 1, q: 1, y: 5}. 1/78 What is prob of picking 1 a and 2 s when three letters picked without replacement from {e: 2, r: 2, s: 4, a: 3, x: 8}? 6/323 Four letters picked without replacement from qmmqmm. Give prob of picking 1 q and 3 m. 8/15 Calculate prob of picking 2 d when two letters picked without replacement from {b: 8, k: 7, d: 3}. 1/51 Two letters picked without replacement from {a: 5, i: 1, c: 1, o: 6, p: 5, s: 2}. Give prob of picking 1 c and 1 a. 1/38 Calculate prob of picking 2 f when two letters picked without replacement from {f: 2, j: 1, n: 11}. 1/91 Three letters picked without replacement from {i: 1, q: 4, d: 9}. What is prob of picking 2 q and 1 i? 3/182 What is prob of picking 1 p and 1 g when two letters picked without replacement from dgppddqpdpqpddpgpdg? 7/57 Four letters picked without replacement from sswqhbhw. Give prob of picking 1 q, 1 s, and 2 w. 1/35 Calculate prob of picking 2 c and 2 q when four letters picked without replacement from ttctcqtqqcc. 3/55 What is prob of picking 1 o and 1 w when two letters picked without replacement from bwzocoozow? 8/45 Four letters picked without replacement from {n: 4, g: 5, m: 7}. What is prob of picking 2 m and 2 n? 9/130 Two letters picked without replacement from drgyjrvv. What is prob of picking 2 y? 0 Three letters picked without replacement from {r: 1, l: 2, x: 2, c: 4}. Give prob of picking 1 x, 1 r, and 1 l. 1/21 Calculate prob of picking 3 s when three letters picked without replacement from ssssbbsbsbsbssbsss. 55/204 Calculate prob of picking 4 i when four letters picked without replacement from iiiiitiiit. 1/3 Calculate prob of picking 3 r and 1 y when four letters picked without replacement from qryryroqorrq. 4/99 Calculate prob of picking 1 v and 1 c when two letters picked without replacement from vacdx. 1/10 What is prob of picking 1 j and 2 v when three letters picked without replacement from aunvavvajcavvuanvavv? 7/285 Calculate prob of picking 1 v, 1 d, 1 x, and 1 b when four letters picked without replacement from {x: 2, d: 3, v: 2, b: 4}. 8/55 What is prob of picking 1 d and 1 y when two letters picked without replacement from yeddy? 2/5 Two letters picked without replacement from kki. Give prob of picking 1 i and 1 k. 2/3 Three letters picked without replacement from mxxvmmxmvvm. What is prob of picking 1 m and 2 x? 1/11 What is prob of picking 1 q and 1 t when two letters picked without replacement from {q: 2, t: 7}? 7/18 Calculate prob of picking 3 h and 1 q when four letters picked without replacement from {h: 4, t: 4, q: 5, x: 5, d: 1}. 5/969 Calculate prob of picking 1 u and 1 x when two letters picked without replacement from xxut. 1/3 What is prob of picking 2 o when two letters picked without replacement from {g: 3, o: 2, h: 13}? 1/153 Four letters picked without replacement from {u: 4, l: 12, y: 4}. What is prob of picking 2 y and 2 u? 12/1615 Two letters picked without replacement from mllllllm. Give prob of picking 2 l. 15/28 Calculate prob of picking 2 u when two letters picked without replacement from {c: 2, n: 1, t: 4, l: 7, u: 2}. 1/120 Two letters picked without replacement from {r: 2, u: 2}. Give prob of picking 2 u. 1/6 Calculate prob of picking 1 w, 1 c, and 2 g when four letters picked without replacement from {g: 10, w: 2, c: 6}. 3/17 Two letters picked without replacement from {q: 2, t: 1, e: 1}. What is prob of picking 1 q and 1 t? 1/3 Four letters picked without replacement from hfmqvjvvvvjj. Give prob of picking 1 j, 1 m, 1 q, and 1 h. 1/165 What is prob of picking 2 i when two letters picked without replacement from iiiiiiniiiiiiiiiiii? 17/19 Four letters picked without replacement from yhkaiysa. Give prob of picking 1 i, 1 s, and 2 y. 1/70 What is prob of picking 1 b and 1 r when two letters picked without replacement from {b: 8, r: 2, k: 2, f: 3}? 16/105 Two letters picked without replacement from {w: 2, r: 5}. Give prob of picking 2 r. 10/21 Two letters picked without replacement from kkkwqwqqqkkkqqkkqqk. Give prob of picking 1 k and 1 w. 2/19 What is prob of picking 1 m and 1 k when two letters picked without replacement from mmmmkvkvkmvkkkkd? 7/24 Three letters picked without replacement from thtqhhttqhihhthihhq. What is prob of picking 2 q and 1 h? 9/323 Two letters picked without replacement from {r: 7, s: 6}. Give prob of picking 1 s and 1 r. 7/13 Calculate prob of picking 1 r and 1 s when two letters picked without replacement from rsrsr. 3/5 Two letters picked without replacement from {h: 3, r: 2, f: 4, w: 2}. Give prob of picking 2 w. 1/55 What is prob of picking 1 y and 2 s when three letters picked without replacement from ylslalolsljss? 3/143 Calculate prob of picking 2 x and 1 h when three letters picked without replacement from mmhmhhxhxmm. 4/165 Four letters picked without replacement from bxfxpzeeeppp. What is prob of picking 1 f, 1 z, 1 x, and 1 e? 2/165 What is prob of picking 1 s and 2 j when three letters picked without replacement from {j: 2, s: 3}? 3/10 Two letters picked without replacement from {t: 1, g: 2, z: 7, o: 2}. Give prob of picking 2 o. 1/66 What is prob of picking 1 w and 1 e when two letters picked without replacement from wvveb? 1/10 Calculate prob of picking 2 y and 2 t when four letters picked without replacement from yjyytjzyzytyyy. 4/143 Two letters picked without replacement from {p: 7, z: 3, n: 2}. What is prob of picking 1 n and 1 z? 1/11 Two letters picked without replacement from {a: 2, x: 1, q: 4, w: 1, i: 2}. Give prob of picking 2 q. 2/15 Calculate prob of picking 1 k and 2 f when three letters picked without replacement from fkkf. 1/2 Three letters picked without replacement from {v: 1, l: 1, k: 1, u: 1, b: 4}. What is prob of picking 1 u, 1 k, and 1 l? 1/56 Calculate prob of picking 1 o and 1 s when two letters picked without replacement from {g: 1, z: 1, d: 2, o: 2, s: 1, j: 2}. 1/18 Four letters picked without replacement from ovifp. Give prob of picking 1 v, 1 i, 1 p, and 1 f. 1/5 Two letters picked without replacement from {k: 3, h: 7, x: 2, c: 4, d: 3}. Give prob of picking 2 c. 2/57 Four letters picked without replacement from {a: 3, i: 1, w: 1, f: 1, c: 1}. Give prob of picking 2 f and 2 i. 0 Two letters picked without replacement from ougouguuggggo. What is prob of picking 2 o? 1/26 Calculate prob of picking 1 t and 1 y when two letters picked without replacement from {y: 5, t: 5, f: 4}. 25/91 Two letters picked without replacement from {p: 2, f: 1}. What is prob of picking 1 f and 1 p? 2/3 Two letters picked without replacement from {m: 1, e: 1, s: 2, u: 1, g: 1, h: 2}. What is prob of picking 1 h and 1 g? 1/14 Calculate prob of picking 3 k and 1 h when four letters picked without replacement from {h: 14, k: 4}. 14/765 Four letters picked without replacement from {d: 13, p: 6}. Give prob of picking 2 p and 2 d. 195/646 Two letters picked without replacement from {a: 1, x: 1, p: 2, m: 1, y: 2, b: 2}. What is prob of picking 1 m and 1 y? 1/18 Four letters picked without replacement from {z: 2, x: 4, l: 2}. What is prob of picking 2 x, 1 z, and 1 l? 12/35 Three letters picked without replacement from kkxxkkkkkkx. What is prob of picking 3 x? 1/165 Calculate prob of picking 3 e when three letters picked without replacement from {e: 4}. 1 Three letters picked without replacement from abfagamfffaof. Give prob of picking 1 f, 1 a, and 1 m. 10/143 Three letters picked without replacement from kkkkkkskkkkkkkkskk. Give prob of picking 2 s and 1 k. 1/51 Two letters picked without replacement from {u: 2, p: 1, e: 3, v: 3, b: 1, d: 1}. What is prob of picking 1 b and 1 p? 1/55 Calculate prob of picking 1 x and 1 z when two letters picked without replacement from xzyyzuuzyuzuyyz. 1/21 Four letters picked without replacement from {z: 9, q: 5}. What is prob of picking 4 z? 18/143 Three letters picked without replacement fr
{ "pile_set_name": "DM Mathematics" }
6 What is the f'th term of 134791, 134792, 134793, 134794, 134795? f + 134790 What is the f'th term of 265, 1055, 2389, 4279, 6737, 9775, 13405? 2*f**3 + 260*f**2 - 4*f + 7 What is the b'th term of -289679, -289674, -289667, -289658, -289647? b**2 + 2*b - 289682 What is the l'th term of 117176, 117226, 117294, 117386, 117508? l**3 + 3*l**2 + 34*l + 117138 What is the y'th term of -5015, -5036, -5057? -21*y - 4994 What is the n'th term of -85, -110, -199, -382, -689? -5*n**3 - 2*n**2 + 16*n - 94 What is the c'th term of 1350, 2010, 2672, 3336, 4002, 4670? c**2 + 657*c + 692 What is the p'th term of 90340, 180681, 271022, 361363? 90341*p - 1 What is the v'th term of 12407, 49642, 111691, 198542, 310183? -2*v**3 + 12419*v**2 - 8*v - 2 What is the n'th term of -1304, -5237, -11802, -20999, -32828, -47289? -1316*n**2 + 15*n - 3 What is the j'th term of -216, -46, 238, 636, 1148, 1774? 57*j**2 - j - 272 What is the s'th term of 342, 517, 582, 537, 382? -55*s**2 + 340*s + 57 What is the r'th term of -93, -409, -1257, -2901, -5605, -9633? -44*r**3 - 2*r**2 - 2*r - 45 What is the j'th term of 591, 1078, 1569, 2064? 2*j**2 + 481*j + 108 What is the n'th term of 1665, 306, -1063, -2448, -3855? -n**3 + n**2 - 1355*n + 3020 What is the o'th term of 1113, 4377, 9809, 17403, 27153, 39053? -o**3 + 1090*o**2 + o + 23 What is the o'th term of -1939, -7777, -17505, -31117, -48607? o**3 - 1951*o**2 + 8*o + 3 What is the l'th term of 889, 3359, 7405, 13021, 20201, 28939? -l**3 + 794*l**2 + 95*l + 1 What is the u'th term of 87398, 87318, 87240, 87164? u**2 - 83*u + 87480 What is the y'th term of -3319, -6833, -10355, -13891, -17447, -21029, -24643, -28295? -y**3 + 2*y**2 - 3513*y + 193 What is the z'th term of -321, -624, -941, -1290, -1689, -2156, -2709? -3*z**3 + 11*z**2 - 315*z - 14 What is the o'th term of 290, 557, 802, 1025, 1226, 1405, 1562? -11*o**2 + 300*o + 1 What is the g'th term of -13, 44, 113, 194? 6*g**2 + 39*g - 58 What is the c'th term of 74, 280, 588, 968, 1390, 1824? -5*c**3 + 81*c**2 - 2*c What is the s'th term of -147745, -147747, -147751, -147757, -147765, -147775? -s**2 + s - 147745 What is the q'th term of -69, -66, -63, -60? 3*q - 72 What is the u'th term of 74064, 74027, 73976, 73905, 73808, 73679? -u**3 - u**2 - 27*u + 74093 What is the n'th term of -225482, -225488, -225498, -225512, -225530? -2*n**2 - 225480 What is the k'th term of 1, -74, -303, -770, -1559, -2754, -4439? -14*k**3 + 7*k**2 + 2*k + 6 What is the y'th term of 333, 324, 315, 306, 297, 288? -9*y + 342 What is the f'th term of -4924, -9687, -14452, -19219, -23988, -28759? -f**2 - 4760*f - 163 What is the t'th term of -467, -522, -577, -632, -687, -742? -55*t - 412 What is the l'th term of 989, 892, 795, 698? -97*l + 1086 What is the t'th term of -4030, -8080, -12130, -16180? -4050*t + 20 What is the a'th term of 1285, 2679, 4069, 5455, 6837? -2*a**2 + 1400*a - 113 What is the n'th term of -120974, -121018, -121064, -121112, -121162, -121214, -121268? -n**2 - 41*n - 120932 What is the l'th term of -523, -1715, -3701, -6481? -397*l**2 - l - 125 What is the w'th term of -270, -292, -314, -336, -358, -380? -22*w - 248 What is the v'th term of 16551, 16557, 16563, 16569, 16575, 16581? 6*v + 16545 What is the j'th term of 2505, 10009, 22517, 40029, 62545? 2502*j**2 - 2*j + 5 What is the y'th term of -147640, -147649, -147648, -147631, -147592, -147525? y**3 - y**2 - 13*y - 147627 What is the c'th term of -27305, -54610, -81913, -109214, -136513, -163810? c**2 - 27308*c + 2 What is the u'th term of 3697, 7356, 11015, 14674? 3659*u + 38 What is the t'th term of -2815134, -2815135, -2815136, -2815137? -t - 2815133 What is the j'th term of 144, 185, 232, 285, 344, 409? 3*j**2 + 32*j + 109 What is the h'th term of 622, 394, -236, -1472, -3518, -6578? -34*h**3 + 3*h**2 + h + 652 What is the o'th term of -11962, -12658, -13364, -14086, -14830, -15602, -16408, -17254? -o**3 + o**2 - 692*o - 11270 What is the w'th term of 398, 410, 410, 392, 350, 278? -w**3 + 19*w + 380 What is the m'th term of -15938, -31864, -47790? -15926*m - 12 What is the k'th term of -13450, -26882, -40312, -53740, -67166? k**2 - 13435*k - 16 What is the b'th term of 1172, 754, 324, -124, -596? -b**3 - 411*b + 1584 What is the s'th term of -72, -134, -250, -426, -668? -s**3 - 21*s**2 + 8*s - 58 What is the p'th term of 481, 918, 1257, 1450, 1449? -8*p**3 - p**2 + 496*p - 6 What is the x'th term of 253, 527, 807, 1093? 3*x**2 + 265*x - 15 What is the a'th term of -14886, -59516, -133890, -238002, -371846, -535416, -728706? a**3 - 14878*a**2 - 3*a - 6 What is the h'th term of -15723, -15716, -15709, -15702, -15695? 7*h - 15730 What is the z'th term of -127226, -254450, -381674? -127224*z - 2 What is the b'th term of -201019, -201031, -201043, -201055, -201067? -12*b - 201007 What is the z'th term of 228, 532, 984, 1656, 2620, 3948? 12*z**3 + 2*z**2 + 214*z What is the y'th term of -2413, -2393, -2361, -2311, -2237, -2133, -1993? y**3 + 13*y - 2427 What is the m'th term of -46535, -46539, -46543, -46547, -46551, -46555? -4*m - 46531 What is the p'th term of 2483, 5230, 8243, 11522, 15067, 18878? 133*p**2 + 2348*p + 2 What is the n'th term of -890, -612, -336, -62? -n**2 + 281*n - 1170 What is the j'th term of 236, 380, 524, 668? 144*j + 92 What is the i'th term of -145, -1630, -5779, -13924, -27397, -47530, -75655, -113104? -222*i**3 + 69*i + 8 What is the h'th term of 83, 103, 165, 293, 511? 4*h**3 - 3*h**2 + h + 81 What is the a'th term of -63431, -63380, -63325, -63266, -63203? 2*a**2 + 45*a - 63478 What is the n'th term of -5825, -11546, -17267, -22988, -28709? -5721*n - 104 What is the q'th term of -119614, -119623, -119632, -119641, -119650, -119659? -9*q - 119605 What is the q'th term of -1704, -3683, -5664, -7647, -9632? -q**2 - 1976*q + 273 What is the x'th term of -582512, -582513, -582514? -x - 582511 What is the n'th term of -441, -931, -1467, -2049, -2677, -3351? -23*n**2 - 421*n + 3 What is the w'th term of -114, -530, -1254, -2286, -3626, -5274? -154*w**2 + 46*w - 6 What is the m'th term of -1554, -3121, -4686, -6249, -7810, -9369, -10926? m**2 - 1570*m + 15 What is the i'th term of 684, 2747, 6182, 10989, 17168, 24719, 33642? 686*i**2 + 5*i - 7 What is the f'th term of -238528, -238525, -238522, -238519? 3*f - 238531 What is the v'th term of 3132, 3135, 3138, 3141, 3144? 3*v + 3129 What is the p'th term of 218, 498, 966, 1622, 2466, 3498? 94*p**2 - 2*p + 126 What is the p'th term of -13818, -13882, -13992, -14148, -14350? -23*p**2 + 5*p - 13800 What is the q'th term of -9107, -72844, -245827, -582674, -1138003, -1966432, -3122579, -4661062? -9103*q**3 - 5*q**2 - q + 2 What is the y'th term of 280, 605, 894, 1135, 1316, 1425, 1450? -2*y**3 - 6*y**2 + 357*y - 69 What is the a'th term of -18631, -37215, -55799, -74383? -18584*a - 47 What is the g'th term of 615, 2769, 6377, 11439, 17955? 727*g**2 - 27*g - 85 What is the l'th term of -27162, -27169, -27176, -27183, -27190, -27197? -7*l - 27155 What is the u'th term of -331, -1311, -2967, -5329, -8427, -12291, -16951, -22437? -5*u**3 - 308*u**2 - 21*u + 3 What is the m'th term of -142297, -284568, -426839? -142271*m - 26 What is the b'th term of -4, 82, 220, 410? 26*b**2 + 8*b - 38 What is the j'th term of 285906, 285905, 285904, 285903? -j + 285907 What is the c'th term of 1209, 2375, 3539, 4701? -c**2 + 1169*c + 41 What is the b'th term of 11, -4, -11, -10, -1, 16? 4*b**2 - 27*b + 34 What is the x'th term of 52, 260, 620, 1144, 1844, 2732, 3820? 2*x**3 + 64*x**2 + 2*x - 16 What is the j'th term of 94, 580, 1884, 4414, 8578, 14784, 23440, 34954? 68*j**3 + j**2 + 7*j + 18 What is the f'th term of 4, 39, 138, 331, 648, 1119, 1774, 2643? 5*f**3 + 2*f**2 - 6*f + 3 What is the a'th term of -87, -168, -255, -354, -471? -a**3 + 3*a**2 - 83*a - 6 What is the z'th term of 1098, 8575, 28868, 68385, 133534, 230723, 366360? 1068*z**3 + z + 29 What is the q'th term of 46948, 93895, 140838, 187777, 234712, 281643, 328570? -2*q**2 + 46953*q - 3 What is the v'th term of 64688, 64689, 64690, 64691? v + 64687 What is the r'th term of -142, -719, -1690, -3061, -4838, -7027, -9634, -12665? -r**3 - 191*r**2 + 3*r + 47 What is the t'th term of 546, 2627, 6094, 10947? 693*t*
{ "pile_set_name": "DM Mathematics" }
x, 3*n + 249 = 4*x + 30. Let h = 123 - x. Is 22 a factor of h? True Let o(w) = 3*w**2 - 7*w + 7. Suppose -p = 3*n + 3, 5*p - 36 = 5*n + 49. Suppose 8 = -j + p. Is o(j) a multiple of 7? False Suppose 0 = -3*g - 9 + 36. Let a = g + -14. Let r = a - -22. Does 6 divide r? False Suppose 0*v - 5*v + f = -378, -3*f = v - 66. Suppose -v = -4*p + 109. Is p a multiple of 20? False Is 5 a factor of (10/(-30))/((-2)/210)? True Let f(h) = -h + 13. Let c be f(12). Let r(x) = -10*x**3 - 3*x**2 + 2. Let z(k) = k**3 + k**2 - 1. Let j(d) = c*r(d) + 2*z(d). Does 7 divide j(-1)? True Let y(u) = u**2 + u - 1. Let o be y(-7). Let h be ((-2)/4)/(5/(-1120)). Suppose -o = l - h. Does 9 divide l? False Let h be ((-492)/14)/(-3) + (-2)/(-7). Suppose -h = -2*v - 4*j, -v + 4*j - 5*j = -10. Is 7 a factor of v? True Let k be ((-528)/10)/(21/(-70)). Does 10 divide -2*(-7)/(28/k)? False Let f(i) = i**3 + 12*i**2 + 11*i + 4. Let n be f(-11). Suppose 0 = -3*x + n*x - 31. Is 25 a factor of x? False Let f = 1679 - 323. Is 17 a factor of f? False Let r(z) = 9*z**2 - 78*z + 59. Is 12 a factor of r(15)? False Let p be (-1*7)/(2/(-10)). Suppose -5*l + 62 = 4*s + 21, -3*l + 2*s + 7 = 0. Suppose p = 3*m - j, -l*j = m - 4*m + 19. Is 8 a factor of m? False Suppose 2*f + 2*b = 6, -b = 4*f - 2*b - 22. Suppose u + 157 = f*j - 2*j, 2*j - 2*u = 98. Is 18 a factor of j? True Suppose 5 = 2*y - 4*z + 3*z, 5*y - z = 20. Suppose 5*i = 5*a + 65, -i + 7 - 2 = -y*a. Is i a multiple of 15? True Suppose 0 = 51*f - 44*f - 3059. Is f a multiple of 19? True Let o = 1107 - -2182. Is 13 a factor of o? True Suppose -4*z = -5 - 3. Suppose -27 = -17*n + 279. Suppose n + 34 = z*d. Does 26 divide d? True Let w(n) be the first derivative of -n**3/3 + 7*n**2/2 - 4*n - 2. Is w(5) a multiple of 6? True Suppose 0 = -5*n - 4*o + 4, -4*n + 20 = 5*o - 6*o. Suppose 25 = 5*w - n*g, -7 - 3 = -2*w + 4*g. Is ((-60)/(-9))/w*33 a multiple of 13? False Let u = -434 - -1391. Is 33 a factor of u? True Let h(u) = u**2 + 16*u + 18. Let y be h(-15). Is 33 a factor of (y + 72/20)*25? True Let w(m) = -1 - 3*m - 4*m + 1 - 3. Let a be w(-1). Suppose 0*l - a*l + 388 = 0. Is 13 a factor of l? False Let l(w) = -39*w - 16. Let x be l(-8). Does 6 divide 1/(14/x) + 3/(-21)? False Let m(h) = h**2 - 26*h + 83. Is m(27) a multiple of 55? True Suppose j + 0 = 12. Let v(s) = s + 1. Is v(j) a multiple of 13? True Suppose 12 = -r + 7*r. Suppose 3*g = t - 136, -r*g + 392 + 254 = 5*t. Is 8 a factor of t? False Let u = 13 - 13. Suppose u = -4*z - 2*l + 66, -90 = -5*z - 3*l - l. Let p = z + -6. Is 4 a factor of p? True Suppose 2*p = -0*z - z + 1257, 0 = 5*p - 3*z - 3148. Is p a multiple of 37? True Let p(o) = 158*o**2 - 14*o. Does 99 divide p(4)? False Let k(m) = 3*m**2 + 2*m + 37. Is 17 a factor of k(-15)? False Let q(w) = -2*w**3 - 2*w**2 - 3*w + 4. Let r be q(2). Let x = r + 32. Suppose -s + x = -42. Is s a multiple of 7? False Let z = 2087 + -111. Does 10 divide z? False Suppose 0*h - 32 = -4*h. Let d(n) = -n + 8. Let s be d(h). Suppose s = 3*v - 40 - 23. Does 7 divide v? True Let c(f) = -f**2 + 9*f + 16. Let t be c(8). Does 6 divide t/9*(3 - -6)/3? False Suppose -2*s = -7*s + 10. Suppose -c + 59 = -5*u, -5*c + 186 + 239 = u. Suppose -s*d + x + 18 = -22, 4*d - x = c. Is 22 a factor of d? True Is 1/(20756/5188 + -4) + 4 a multiple of 31? False Suppose -8*w + 16*w - 648 = 0. Does 6 divide w? False Let q(p) = p**2 - p - 1. Let x be q(1). Let c(l) = -l. Let j(b) = -5*b - 12. Let y(i) = x*j(i) + 4*c(i). Is 6 a factor of y(-5)? False Let y = 994 - 503. Is y a multiple of 5? False Let d = -214 - -393. Is d a multiple of 25? False Let y(p) = 6*p + 17. Let z(n) = -5*n - 17. Let x(u) = -3*y(u) - 2*z(u). Does 11 divide x(-5)? False Suppose -3*p + 10 = -8. Suppose 4*v - 2*v = p. Suppose g - v*c = 52, -c + 156 = 4*g - 0. Does 22 divide g? False Suppose -5*o - 3*g = -87, 4*o = -5*g + 66 + 14. Let r(c) = -c**3 + 14*c**2 + 20*c - 12. Is r(o) a multiple of 14? False Let g be (10/4 + -2)*4. Suppose -y - 3 = 0, 2*c + 7 = -5*y - g. Suppose 0*u + 76 = r + c*u, -295 = -5*r + 2*u. Is 16 a factor of r? False Is 24/(-9)*(-1596)/16 a multiple of 12? False Let l = 11 + -6. Suppose -15 = -l*p + 2*p. Suppose 2*d + p*a = -2*d + 94, d = 3*a + 32. Is d a multiple of 8? False Let z(v) be the first derivative of -v**6/360 + v**5/8 - v**4/24 - v**3 + 6. Let l(p) be the third derivative of z(p). Is 17 a factor of l(12)? False Let j = -494 - -1195. Is j a multiple of 26? False Let t = 967 + 257. Does 102 divide t? True Let z be (-7)/7 - (-1 - 70). Does 9 divide ((-252)/z)/(2/(-5))? True Suppose -5*b + 23*b = 2610. Is b a multiple of 31? False Let y(q) = 215*q - 3. Let n(c) = -2*c**3 + 19*c**2 - 7*c - 17. Let m be n(9). Does 53 divide y(m)? True Let p(a) = a**2 + 60*a + 7. Does 56 divide p(6)? False Suppose 158 + 84 = 11*o. Is o - 2*1*(7 - 8) a multiple of 8? True Let x(h) = 52*h**3 + 2*h**2 - 2*h - 2. Is x(2) a multiple of 11? True Let v = 116 - 59. Suppose w - v = 12. Is w a multiple of 11? False Let g(j) = 58*j + 22. Is 39 a factor of g(5)? True Suppose 37*u + 4194 = 40*u. Does 6 divide u? True Let k(o) = 27*o + 50. Does 14 divide k(8)? True Let d = 194 + 37. Is 7 a factor of d? True Suppose 4*k = 4*f - 5*f - 5, k + 4*f = -20. Suppose n + 2*n - 39 = k. Is n a multiple of 7? False Let d(a) = a**2 + a + 123. Let l(u) = -u**3 + 6*u**2 - u + 6. Let w be l(6). Does 24 divide d(w)? False Suppose m + 3*r - 102 = 0, 4*r = m - 182 + 45. Let g = m - 38. Is 17 a factor of g? False Let b(g) = -15*g - 10. Let j(h) = -h - 21. Let i be j(10). Let u = i - -26. Is 19 a factor of b(u)? False Let h(w) = w + 52. Suppose 6*o - 35 = 55. Does 4 divide h(o)? False Let g be (-8)/10*5/(-2). Suppose -23*y - 168 = -30*y. Is y - -1 - (g - 5) a multiple of 7? True Let y be (11 - 3)*(-2)/(-2). Let c = y - 5. Suppose -c*o = -4*p + 177, -p = 5*o - 3 - 24. Is 14 a factor of p? True Suppose 5*i + 174 - 4 = 0. Let l = 91 + i. Is 6 a factor of l? False Let o(m) = 18*m**2 - 10*m + 7. Is 7 a factor of o(7)? True Suppose 0*j + 2*s = -5*j + 28, -s - 8 = -3*j. Suppose -5*q = -n - 116, -2*n = 2*q - j*q + 40. Is 6 a factor of q? True Let c(p) = -p**3 + 10*p**2 + 4*p + 6. Is c(10) a multiple of 15? False Suppose -p + 0*l + 735 = 3*l, 3*l = -3*p + 2193. Suppose 3*s = -24 + p. Suppose -s = 8*t - 891. Is 22 a factor of t? False Let k(y) = -y**3 + 5*y**2 + 4*y - 17. Let j = -27 + 32. Is k(j) a multiple of 3? True Let n(m) = 5 - 2*m - 11 - 5*m - m**3 - 5*m**2. Does 3 divide n(-4)? True Is 85 a factor of ((-3)/(-9))/(2/14886)? False Let q be (-4 - -4)*1/(-2). Suppose q = 2*i - i + 2*n - 7, 0 = -4*i - n. Let m(r) = 26*r**2 - r - 1. Is m(i) a multiple of 13? True Let u(q) = 5*q + 14. Let a be u(-3). Let z(i) = -66*i. Is z(a) a multiple of 11? True Let w be 2/(-10) - (-25069)/(-55). Let n = -254 - w. Does 17 divide n? False Suppose 0 = 2*i - 6*i + 112. Suppose 5*g = g - i. Let t = 4 - g. Does 11 divide t? True Suppose 5*q + q + 12 = 0. Let i be ((-3)/q)/(7/14). Suppose i*b + 15 = 0, -4*b - 52 = y - 3*y. Does 4 divide y? True Suppose 44 = 3*h + 5*o, h + 4*o - 24 = -0*h. Let u(x) = -x + 11. Let r be u(h). Suppose r = 2*j - 61. Is 12 a factor of j? False Let r = 97 + -97. Suppose 5*f = -2*y + 19, -3*y + 3*f = -r*f - 39. Is 3 a factor of y? True Suppose 2*h - 133 = 243. Suppose 16*z - 20*z + h = 0. Suppose -2*a - 39 = -4*b + z, -3*b + 32 = 5*a. Is 15 a factor of b? False Let d = 103 + -29. Suppose -i - 158 = -4*z, 2*z - 2*i = 8 + d. Is 13 a factor of z? True Let t(k) = -k**2 - 12*k - 17. Let d be t(-10). Let p be 74/(-2*1)*-3. Suppose 0 = 2*l - 5*s - p, d*s - 2*s - 167 = -4*l. Does 12 divide l? False Let d(g) = -8*g + 8. Suppose f + 1 = 3*f + 5*k, 4*k = f + 6. Does 12 divide d(f)? True Suppose 16*t = 95*t - 234709. Is t a multiple of 109? False Let h = 954 + -384. Does 42 divide h? False Suppose 0 = -0*f + f - 4. Suppose 3*w = 12, -f*v - 4*w + 112 = -28. Is 5 a factor of v? False Does 3 divide ((-4)/2)/(1/(31/(-2)))? False Let y = 1748 + -1100. Is 27 a factor of y? True Let w = 35 + 4. Suppose 3*c - 170 = -a, -3*c - 2*a - 66 = -235. Let q = c - w. Is 9 a factor of q? True Let v(h) = 4*h + 13. Let o be v(-2). Suppose o*a + 4*z - z = 444, 3*a + z = 264. Is 45 a factor of a? False Let y = 73 - 71. Suppose -2*x + 3*c = -477, 0 = c + y + 3.
{ "pile_set_name": "DM Mathematics" }
259*k**2 to the form f*k + r*k**2 + a*k**3 + j and give a. -3 Rearrange -201*q**2 + 195*q**2 + 4353*q - 71 - 4349*q to the form t*q**2 + g*q + j and give t. -6 Express -585*d - 7*d**2 - 101 + 1211*d - 626*d in the form t*d + o + j*d**2 and give o. -101 Rearrange -265*s**3 - 2 + 264*s**3 - s - 2*s + 16*s**2 to j*s**3 + t + p*s + r*s**2 and give t. -2 Rearrange (-30*z + 30*z - 8*z**2)*(-3*z + 3*z + 13*z**2)*(6 - 1 - 1)*(-4 + 3 + 6) to h*z**3 + y*z**2 + n*z**4 + j*z + g and give j. 0 Express 1 + 128006*v - 5*v**2 + 54*v**2 - 128020*v as h*v**2 + f + u*v and give u. -14 Express -8 + 3 + 15 - 8*r**2 + 2*r**4 + 2*r + 10*r**3 - 12 as o + z*r + l*r**3 + k*r**4 + q*r**2 and give k. 2 Express -208*c - 7 + 6354*c**2 - 234*c - 6355*c**2 as t + j*c**2 + v*c and give t. -7 Rearrange (-7 - 8*n + 7)*(0 - 1 + 0) - n + n + n + (14*n + 115 - 115)*(-2 + 0 + 1) + 2*n - 3*n - n to s*n + h and give s. -7 Rearrange (-2*c + c + 2*c)*(0 + 3 + 3)*(84*c + 61*c - 41*c) to z + m*c + q*c**2 and give q. 624 Express (0 - 4 + 5)*(-2*m + 2*m - 2*m) + (-2 + 5 + 0)*(-13*m + 356 - 9*m - 355) as z*m + l and give z. -68 Express -z**3 + 50*z - 6 - 13*z - z**3 - 103*z + 5*z**3 in the form m*z**3 + d*z + v + q*z**2 and give m. 3 Rearrange -8*j**2 - 4986 - 13*j + 2485 + 2531 to p + v*j**2 + g*j and give v. -8 Rearrange (-789*p - 162 + 395*p + 392*p)*(-3 + 10*p - p + 3) to j*p**2 + v*p + t and give v. -1458 Express -320 - 3017*j**2 + 320 + 9121*j**2 in the form i*j**2 + p + b*j and give i. 6104 Express 5 - 9 + 8 - 2*o**3 - 1 - 42*o**2 in the form k*o + i*o**3 + r + q*o**2 and give r. 3 Rearrange -54 + 75 - 36 - 94 - 11*v - 79 to the form d*v + b and give b. -188 Rearrange -2*d**2 - 3 + 3 + 0 + 0 + 3*d**2 + (1 + 0 - 9)*(-17 + 17 + 4*d**2) to the form k*d + v*d**2 + a and give v. -31 Express -k**3 - 39 - 7*k**4 + 22*k + 116 - 35 - 41 in the form o*k**2 + d + x*k**3 + n*k + y*k**4 and give y. -7 Rearrange ((-3 + 0 + 4)*(13 - 13 + 37) - 2 + 5 + 7)*(-3*h + 0*h + h)*(-2 - 1 + 0)*(-4 + 3 - 4) to g*h + j and give g. -1410 Rearrange -17*t**2 - 5 - 128*t**4 - 17529*t + 131*t**4 - t**3 + 17529*t to l*t + j + k*t**2 + y*t**4 + f*t**3 and give y. 3 Express (0 - 6 + 1)*(-3 - 2*s + 3) - s - 1 + 1 + (-3 + 3 - 2*s)*(0 - 2 + 3) + (3 + 1 - 3)*(4*s + s - 3*s) - s + 12*s - s as h + d*s and give d. 19 Express -1766*f**3 + 168*f**2 - 11 - 33*f**2 + 1764*f**3 as r*f**2 + h*f + l + b*f**3 and give b. -2 Express (-383*y - 5777 + 5777)*(8 - 22*y**2 + 45*y**2 + 3*y - 25*y**2) as h*y**2 + a*y + z*y**3 + n and give a. -3064 Express (-2*q + 4 - 4)*(2 - 1 + 0) - q + 9*q + q + (-3 + 0 + 4)*(0*q - q + 3*q) + 9*q + 4*q - 86*q as b*q + l and give b. -64 Express -483 - 4789*k - 3*k**3 + 4789*k as w*k + o*k**3 + x + g*k**2 and give w. 0 Rearrange -3250*r + 1171*r - 3572*r - 127*r - 1467*r to w + c*r and give w. 0 Rearrange (22266 - 6025 + 27813 + 31159 - 14048)*(2*a**4 + 0*a**3 + 0*a**3) to x*a**3 + b*a**4 + s*a**2 + c*a + t and give b. 122330 Express (-1125 - 10*r + 1125 + 345*r)*(-80*r - 10477 + 10477) in the form s + f*r**2 + h*r and give f. -26800 Express 22632*r**2 - 3*r - 30702*r**2 + 3*r as i*r + p*r**2 + n and give p. -8070 Express -2*w**2 - 2 - 6701699*w**3 - 2*w + 6 + 6701718*w**3 - 3*w**2 as r*w**2 + h + l*w**3 + z*w and give z. -2 Rearrange (-793*q - 1570*q + 806*q)*(-q**2 + 0*q + 0*q + (3*q - 2*q + 0*q)*(-5*q + 2*q + q)) to s*q + p*q**2 + v*q**3 + d and give v. 4671 Express 1820*o**3 - 2576*o - 2558*o + 5133*o + (-4*o**3 + 6*o**3 + 0*o**3)*(3 + 0 - 1) as x*o**2 + k*o**3 + i + y*o and give k. 1824 Express (-13*i - 9*i + i)*(4 + 4 - 1) + (-8 + 0 - 3)*(0 + 0 + i) in the form a + z*i and give z. -158 Rearrange (-20*l + 13*l + 26*l)*((2*l**2 - 3 + 3)*(4 + 0 - 2) + 613*l**2 + 1452*l**2 - 320*l**2)*(0 + 2 + 0) to the form z + t*l + v*l**2 + j*l**3 and give j. 66462 Rearrange 65*d**4 + 2*d + 2*d**3 - 7*d + 47*d**4 - 16*d**4 - d to the form w*d + t*d**2 + y*d**4 + m*d**3 + u and give w. -6 Express -102*x**3 - 49*x**2 + 20*x**2 + 43 + x + 11*x**2 + 17*x**2 - 41 in the form t*x**3 + v + g*x + j*x**2 and give g. 1 Express -4275*y**2 - 774*y**2 + 783*y**2 + 4*y - 1664*y**2 - 107*y**2 in the form p*y**2 + n*y + c and give n. 4 Rearrange 320*d - 7*d**3 + 328*d - 68 - 653*d - 8 to the form z*d**2 + a*d**3 + g + x*d and give x. -5 Express 136*j - 1 + 64*j**2 - 68*j**2 - j in the form r*j + x + o*j**2 and give r. 135 Rearrange (2 + 2*y**2 - 2)*(-45618 + 6287 - 25294 - 7797 + 9967 - 39372) to b*y**2 + s*y + p and give b. -203654 Express -3*x**4 + 26*x**2 - 2*x - 496 + 31*x**2 + 495 - x**3 + 2*x**3 in the form n*x**4 + c*x**2 + z + s*x**3 + q*x and give s. 1 Express -1634*u**2 - 2*u - 757*u**2 - 605*u**2 - 1183*u**2 as a + n*u**2 + y*u and give y. -2 Express -3*f - 151497*f**3 + 3*f**4 + 80*f**4 + 151494*f**3 in the form l*f + c*f**2 + s + p*f**4 + o*f**3 and give p. 83 Rearrange (-21*g**2 - 1 - 318*g + 318*g)*(-17 + 51 + 71 - 24) to the form x + i*g + r*g**2 and give r. -1701 Rearrange -22 - 59*p**2 + 3*p + 3*p - 73*p**2 + 206*p**2 - 72*p**2 + 4*p**3 to b*p**2 + z*p + i + u*p**3 and give z. 6 Rearrange -1790456*y**2 - 4*y**3 + 1790453*y**2 + 6*y + 0*y + 3 to w + a*y**2 + q*y + m*y**3 and give w. 3 Rearrange (-2 + w + 2)*(-3529 - 3485 - 4953 - 492) to k*w + z and give k. -12459 Express -12 - 1243*d + 12 + (-1 + 1 - 3)*(-2*d + 4*d + 0*d) as g + t*d and give t. -1249 Rearrange 2160*l**2 + 2111*l**2 - 8409*l**2 + 2137*l**2 - 12 + 2155*l**2 to the form r*l**2 + d*l + o and give o. -12 Rearrange -7*p**3 + 2*p**3 + 2*p**3 + (-249935 + 5*p + 249943 + 271*p)*(0*p + 0*p - p**2) to m*p + w*p**2 + x*p**3 + u and give u. 0 Express -416 - 417 - 421 - 419 + 2712*v + 1671 as n + x*v and give x. 2712 Rearrange 87*g + 14*g + 26 + 2*g**2 - 104*g to q*g**2 + i + j*g and give j. -3 Express 103*a**2 - 2*a**3 + 22 + 2*a - 43 + 0*a + 20 in the form z*a**2 + q*a**3 + d*a + i and give q. -2 Express (0 - 3 + 2)*((1476 - 1476 + 36*r)*(5 + 2 - 5) - 7*r + 3*r - r) in the form a*r + j and give a. -67 Rearrange -v**2 - 30*v**3 - 113*v**3 - 45*v - 5 - v**4 + 144*v**3 + v**2 to h*v**2 + n + s*v**4 + f*v**3 + u*v and give n. -5 Express 41349 - 11114*j - 10305*j - 41349 as x + i*j and give i. -21419 Rearrange 10270*g + 2 - 5154*g + 2*g**2 - 3*g**4 - g**3 - 5133*g to a*g**3 + f + u*g + h*g**4 + q*g**2 and give f. 2 Express 950*d**2 + 1042*d + 969*d**2 + 965*d**2 - 2888*d**2 in the form k*d + u + n*d**2 and give n. -4 Express 166*b**3 - 124*b**3 - 2 + 26*b**2 - b - 41*b**3 + 5*b**4 as a*b**3 + c*b**4 + s*b**2 + f*b + t and give c. 5 Express -5 - 1 + 7007*b - 12 + 18 in the form v*b + n and give v. 7007 Express -80*i + 42*i**3 - 43*i + i**2 - 4 + 124*i + 4*i**4 in the form x*i + j + q*i**4 + m*i**2 + b*i**3 and give j. -4 Rearrange (-y + 3 - 3 - 1)*(-3 + 3 - 167275*y**2 - 729*y + 167272*y**2) to g*y**2 + p*y**3 + t + d*y and give t. 0 Rearrange (0 + 2 - 1)*(417*r**3 + 322*r**3 + 251*r**3)*(-2 + 3 + 3) to k*r**2 + o*r + g + d*r**3 and give d. 3960 Rearrange -124*t**2 - 163 + 163 + (-12*t + 6*t - 8*t)*(-2*t - t - 2*t) to the form c + s*t**2 + k*t and give s. -54 Express (1 - 5 - 1)*(-2*t + 5*t - 2*t)*(2 + 8 - 7)*(-63 + 63 - 19*t) in the form i*t + p*t**2 + d and give p. 285 Rearrange 1291*d + 305*d - 613*d - 2 + 3636*d + 3 to the form w*d + p and give w. 4619 Rearrange (47*z - 27*z + 190*z)*(4 + 0 - 2)*(-3 + 3 + 2*z) + (-1 + z**2 + 1)*(-3 + 0 - 1) + 3*z**2 + z**2 - 2*z**2 to m*z**2 + k + l*z and give k. 0 Express -779*y - 30*y**2 - 35*y**2 - 172*y + 100*y**2 - 32*y**2 as s*y**2 + i*y + g and give g. 0 Express 4 - 4 + 22146*l + 0 - 37306*l in the form x + n*l and give n. -15160 Express 554116 - 554116 + 2655*o**2 as r*o**2 + a*o + d and give r. 2655 Rearrange (61 + 2*m - 3*m**2 + 60 - 124)*(6*m + m - 4*m)*(-1 + 1 + 7*m) to n*m**3 + c*m + y*m**2 + k*m**4 + b and give n. 42 Express (4*z + 2*z - 5*z)*(2 - 2 - 1) - 2*z + z + 3*z - 57*z - 42*z + 17 + 125*z as l + b*z and give b. 27 Rearrange (-3*o - 5*o + 5*o)*(191 - 15206 - 10012) to the form a*o + k and give a. 75081 Rearrange 14 - 14*u**2 - 34 + 2*u**3 + 2 - 22*u**2 - 23 to the form j*u**3 + k*u + s + t*u**2 and give s. -41 Express (9*t**2 - 2*t**2 + 2*t**2)*(-t + 3*t - 4*t) + (5*t**2 + 24*t**2 - 12*t**2)*(-t - t + 5*t) as b*t**3 + k*t + h + w*t**2 and give b. 33 Rearrange (-2*l + 0*l + 3*l)*(-2 + 5 - 2) + (6*l - 9 + 9
{ "pile_set_name": "DM Mathematics" }
296 = 0. Calculate x. -101, 6, 8 Solve 3*p**4 + 84*p**3 - 123*p**2 - 1044*p = 0. -29, -3, 0, 4 Determine z, given that -3876*z**3 - 6262*z**2 - 2254*z + 132 = 0. -1, -2/3, 33/646 Let -9*t**4/4 + 74037*t**3/4 - 123359*t**2/2 + 57563*t - 16446 = 0. What is t? 2/3, 2, 8223 Solve 2*y**4/7 + 4002*y**3/7 + 1999994*y**2/7 - 287430*y - 572572 = 0 for y. -1001, -1, 2 Factor 4*w**4 - 159012*w**3 + 159008*w**2. 4*w**2*(w - 39752)*(w - 1) Determine t, given that 2*t**3 - 1748840*t**2 - 3497686*t - 1748844 = 0. -1, 874422 Suppose -16*l**4 - 72556*l**3 - 416788*l**2 - 543444*l + 163044 = 0. Calculate l. -4529, -3, 1/4 Solve 2*a**3/15 + 1068*a**2/5 - 3448*a + 90608/15 = 0 for a. -1618, 2, 14 Determine d so that 14*d**3/9 + 49144*d**2/9 - 775784*d/9 - 225664/9 = 0. -3526, -2/7, 16 Solve 4*c**2/5 - 40572*c = 0. 0, 50715 Let -a**2/8 + 8999*a/8 + 1125 = 0. Calculate a. -1, 9000 Factor 4*h**3 - 1596*h**2 - 4824*h. 4*h*(h - 402)*(h + 3) Factor r**4 + 652*r**3 - 6595*r**2 + 16550*r. r*(r - 5)**2*(r + 662) Let -9*u**4/4 - 969*u**3/2 - 2557*u**2/4 + 588*u - 107 = 0. What is u? -214, -2, 1/3 Solve 3*d**2 - 2814*d + 212895 = 0 for d. 83, 855 Determine c, given that -5*c**2 - 4105*c - 402990 = 0. -707, -114 Suppose 2*f**2/9 - 145778*f/9 + 48592/3 = 0. Calculate f. 1, 72888 Find r such that -2*r**4 - 258*r**3 + 4486*r**2 - 22134*r + 28420 = 0. -145, 2, 7 Suppose -4*b**4 + 1056*b**3 - 69696*b**2 = 0. Calculate b. 0, 132 Factor 3*g**3 - 6462*g**2 + 623700*g - 15405000. 3*(g - 2054)*(g - 50)**2 Factor -2*k**3/3 + 524*k**2/3 - 1034*k/3 - 520. -2*(k - 260)*(k - 3)*(k + 1)/3 Solve 2*x**2 - 648*x - 3960 = 0. -6, 330 Find b, given that b**4/3 + 5912*b**3/3 = 0. -5912, 0 Find x, given that -2*x**3/5 + 864*x**2/5 - 30994*x/5 + 26724 = 0. 5, 34, 393 Find s, given that -3*s**2/2 + 18723*s/2 + 28098 = 0. -3, 6244 Find m, given that -100*m**4 - 160*m**3 + 52*m**2 + 160*m + 48 = 0. -6/5, -1, -2/5, 1 Factor -c**3 + 220*c**2 - 1503*c + 2556. -(c - 213)*(c - 4)*(c - 3) Solve j**3/2 + 3565*j**2 + 21383*j/2 + 7127 = 0 for j. -7127, -2, -1 Factor -1558*o**2 + 8*o. -2*o*(779*o - 4) Determine f, given that 8*f**5 - 436*f**4 + 3612*f**3 + 33076*f**2 + 15580*f = 0. -5, -1/2, 0, 19, 41 Factor -4511*j**3/9 + 18076*j**2/9 - 18172*j/9 + 128/9. -(j - 2)**2*(4511*j - 32)/9 Suppose -i**2 - 204*i = 0. Calculate i. -204, 0 Let 8*w**5 - 1226*w**4 + 43948*w**3 + 233366*w**2 + 149784*w = 0. Calculate w. -4, -3/4, 0, 79 Suppose -5*x**3/2 + 60*x**2 + 2310*x - 4840 = 0. Calculate x. -22, 2, 44 Suppose n**4 - 73*n**3 + 406*n**2 + 3648*n + 3168 = 0. What is n? -4, -1, 12, 66 Find b, given that -4*b**3 - 68428*b**2 - 292683660*b - 292615236 = 0. -8553, -1 Factor -5*p**4 + 1890*p**3 + 3815*p**2 - 5700*p. -5*p*(p - 380)*(p - 1)*(p + 3) Determine y, given that 2*y**3/3 - 1954*y**2/3 + 1948*y = 0. 0, 3, 974 Suppose -280087112*o**2/11 + 47336*o/11 - 2/11 = 0. What is o? 1/11834 Suppose i**4 - 37*i**3 - 1191*i**2 - 6443*i + 7670 = 0. What is i? -13, -10, 1, 59 Factor o**2/4 + 5*o - 3224. (o - 104)*(o + 124)/4 Suppose -3*l**3/7 + 2970*l**2/7 - 103293*l - 5976024/7 = 0. Calculate l. -8, 499 Suppose -3*u**2/4 + 18561*u/4 - 50952 = 0. Calculate u. 11, 6176 Determine l so that -4*l**4/9 + 35408*l**3/9 - 26154652*l**2/3 + 468944152*l/9 + 1252027456/9 = 0. -2, 8, 4423 Factor -2*f**3/5 + 438*f**2 - 4374*f/5 + 2186/5. -2*(f - 1093)*(f - 1)**2/5 Factor 3*n**3 - 2130*n**2 - 15021*n - 25812. 3*(n - 717)*(n + 3)*(n + 4) Determine d, given that d**5 - 12355*d**4 + 12352*d**3 + 24708*d**2 = 0. -1, 0, 2, 12354 Determine k so that -2*k**2/3 + 920792*k/3 - 105982238408/3 = 0. 230198 Let 3*a**3 + 277968*a**2 - 555948*a = 0. Calculate a. -92658, 0, 2 Factor 2*x**3 + 190*x**2 + 366*x - 558. 2*(x - 1)*(x + 3)*(x + 93) Factor -a**2 - 357338*a - 31922611561. -(a + 178669)**2 Factor -b**2/7 - 7783*b - 54480/7. -(b + 1)*(b + 54480)/7 Solve -k**5/5 + 57*k**4/5 - 572*k**3/5 = 0 for k. 0, 13, 44 Factor -36*c**2 - 278924*c + 30992. -4*(c + 7748)*(9*c - 1) What is w in -2*w**3/9 + 134*w**2/9 + 1036*w/9 = 0? -7, 0, 74 Factor -2*g**2 - 13814*g - 27620. -2*(g + 2)*(g + 6905) What is t in t**5/8 - 40*t**4 - 485*t**3/4 + 40*t**2 + 969*t/8 = 0? -3, -1, 0, 1, 323 Factor -k**2 - 116*k - 3363. -(k + 57)*(k + 59) Let -3*l**4/4 + 72*l**3 - 4821*l**2/4 - 27297*l + 28431 = 0. Calculate l. -13, 1, 54 Find b, given that 3*b**3 + 3291*b**2 - 6591*b + 3297 = 0. -1099, 1 Let 2*x**3/5 - 180*x**2 + 3574*x/5 - 2676/5 = 0. Calculate x. 1, 3, 446 Factor 3*o**5/4 - 15387*o**4/4 + 46125*o**3/2 - 46113*o**2 + 30738*o. 3*o*(o - 5123)*(o - 2)**3/4 Let d**2/4 + 7429*d/2 + 55190041/4 = 0. What is d? -7429 What is z in -4*z**2 + 4056*z + 4060 = 0? -1, 1015 Suppose -a**2 - 46*a + 3071 = 0. What is a? -83, 37 Find f such that -f**5/7 - 13*f**4/7 - 51*f**3/7 - 47*f**2/7 + 52*f/7 + 60/7 = 0. -6, -5, -2, -1, 1 Factor y**4 + 79*y**3 - 2497*y**2 - 2575*y. y*(y - 25)*(y + 1)*(y + 103) Solve 20*v**3/3 + 5852*v**2/9 - 302008*v/9 + 22080 = 0 for v. -135, 2/3, 184/5 Solve -4*u**2 + 240*u - 3116 = 0. 19, 41 Find u, given that -8*u**4 - 320188*u**3 + 160096*u**2 = 0. -40024, 0, 1/2 Find c such that -3*c**4 + 31596*c**3 - 83065788*c**2 - 666043680*c - 1333099200 = 0. -4, 5270 Suppose -2*c**2/7 + 2108*c/7 + 2110/7 = 0. Calculate c. -1, 1055 Factor -5*n**2/2 - 125*n - 2405/2. -5*(n + 13)*(n + 37)/2 Suppose -z**3/2 - 5*z**2 + 2403*z/2 + 24804 = 0. Calculate z. -39, -24, 53 Solve 63*y**5/8 - 42675*y**4/8 + 35853*y**3/2 + 25269*y**2/2 + 2022*y = 0. -1/3, -2/7, 0, 4, 674 Factor 3*w**4 - 3264*w**3 + 6516*w**2. 3*w**2*(w - 1086)*(w - 2) Factor z**3/5 + 122*z**2/5 - 123*z/5. z*(z - 1)*(z + 123)/5 Suppose 7*n**5/5 + 34806*n**4/5 + 287928*n**3/5 + 79424*n**2/5 = 0. Calculate n. -4964, -8, -2/7, 0 What is j in -2*j**4 + 668*j**3 + 55462*j**2 - 18577080*j - 1546792200 = 0? -103, 270 Factor -3*y**4/5 - 441*y**3/5 + 891*y**2/5 - 447*y/5. -3*y*(y - 1)**2*(y + 149)/5 Factor 3*h**2/4 - 1227*h/4 - 67365/2. 3*(h - 499)*(h + 90)/4 Factor -2*d**2/3 - 51670*d/3 - 51664. -2*(d + 3)*(d + 25832)/3 Solve 5*l**5 - 5*l**4 - 165*l**3 + 5*l**2 + 460*l + 300 = 0 for l. -5, -1, 2, 6 Find m, given that m**2/3 + 3968*m/3 + 75031/3 = 0. -3949, -19 Factor 3*y**3 - 12231*y**2 + 24441*y + 36675. 3*(y - 4075)*(y - 3)*(y + 1) Suppose b**3/4 + 2367*b**2/4 + 11785*b/2 = 0. Calculate b. -2357, -10, 0 Find d, given that 3*d**3 + 102*d**2 - 3132*d + 5832 = 0. -54, 2, 18 Factor -2*i**2/7 + 1962*i/7 + 281432/7. -2*(i - 1108)*(i + 127)/7 Find n such that -n**4/8 - 1439*n**3/8 + 2163*n**2/4 - n/2 - 721 = 0. -1442, -1, 2 Factor 3*x**3 - 3279*x**2 + 6546*x. 3*x*(x - 1091)*(x - 2) What is u in 129*u**3 + 12651*u**2 + 882*u = 0? -98, -3/43, 0 Factor 5*j**2 - 6485*j + 12950. 5*(j - 1295)*(j - 2) Factor 3*v**2 + 175875*v + 175872. 3*(v + 1)*(v + 58624) Determine r, given that -412*r**3 - 19770*r**2 - 237024*r + 3456 = 0. -24, 3/206 What is i in 3*i**2/7 + 822*i/7 + 41607/7 = 0? -207, -67 Determine l so that -4*l**2 - 29880*l = 0. -7470, 0 Factor -c**3/5 - 312*c**2/5 - 4221*c/5 - 14602/5. -(c + 7)**2*(c + 298)/5 Determine y, given that 9*y**5 - 1308*y**4 + 15897*y**3 - 54894*y**2 + 13644*y + 85752 = 0. -1, 2, 6, 397/3 Suppose 15*j**4 + 48*j**3 - 330*j**2 + 456*j - 189 = 0. What is j? -7, 1, 9/5 Find m such that -2*m**2 + 39552*m - 195545088 = 0. 9888 Factor -2*o**3 - 1834*o**2 - 34084*o + 35920. -2*(o - 1)*(o + 20)*(o + 898) What is a in 2*a**2 - 3684*a + 3682 = 0? 1, 1841 Factor 3*q**5/2 + 2265*q**4/2 - 17325*q**3. 3*q**3*(q - 15)*(q + 770)/2 Solve -x**4/4 + 79*x**3/4 - 1247*x**2/4 - 12943*x/4 = 0. -7, 0, 43 Find m such that -8*m**5/5 - 226*m**4/5 + 256*m**3/5 + 2462*m**2/5 + 2452*m/5 + 464/5 = 0. -29, -2, -1, -1/4, 4 Factor -6*d**2 + 6010*d + 2004. -2*(d - 1002)*(3*d + 1) Let -5*t**4 - 3134*t**3 - 492348*t**2 - 391250*t + 97969 = 0. Calculate t. -313, -1, 1/5 Solve n**2 + 21734*n/5 - 65247/5 = 0. -21749/5, 3 Solve -2*p**3/11 - 1872*p**2/11 + 3752*p/11 = 0. -938, 0, 2 Determine j so that -2*j**2/9 + 80*j/9 + 1442 = 0. -63, 103 Solve -a**2/8 + 14723*a/8 + 3681/2 = 0. -1, 14724 Determine c, given that -20*c**4 - 2905*c**3 - 5605*c**2 + 901180*c + 225600 = 0. -141, -20, -1/4, 16 Determine a, given that 8*a**5 - 292*a**4 + 1444*a**3 - 2528*a**2 + 1488*a = 0. 0, 3/2, 2, 31 Let -1024*r**3 - 2052*r**2 - 1032*r - 4 = 0. Calculate r. -1, -1/256 Factor -
{ "pile_set_name": "DM Mathematics" }
Let y be 3/(-15)*(-5 + 6). Sort y, 3/4, -4, 0 in decreasing order. 3/4, 0, y, -4 Let k = 9.3 + -10. Let c = -4.7 - k. Sort -3, 2/9, c in decreasing order. 2/9, -3, c Let r = 21 + -19. Let c = -2 + r. Sort c, -3, 4. -3, c, 4 Let x = 5.6 - 18.3. Let d = 0.3 - x. Let i = 18 - d. Sort 1, i, 1/5 in decreasing order. i, 1, 1/5 Suppose -5*m + 14 = -1. Let d = 389/3 - 131. Put -1, m, d in increasing order. d, -1, m Let d be (-9)/(-36) - (-1)/(-4). Suppose d = 2*a + a. Sort a, -3, 4. -3, a, 4 Let y = 5 + -1. Sort y, -2, 5 in descending order. 5, y, -2 Let z = -30 - -29.2. Put z, 1/6, -2 in decreasing order. 1/6, z, -2 Let u = -62 - -61. Sort u, -3, 0, -5. -5, -3, u, 0 Suppose 2*b + 5 = 9. Put -2, -46, b in increasing order. -46, -2, b Let u = -5 - -1. Let y = 6 + u. Suppose 4*n - 3*t = y*n + 4, -2*t = -2*n + 6. Put 1, 0, n in ascending order. 0, 1, n Let i = 131 + -131.02. Put i, -2, -2/7 in decreasing order. i, -2/7, -2 Let l(c) = c**3 + 11*c**2 + 10*c - 4. Let r be l(-10). Put r, 0.1, -1 in ascending order. r, -1, 0.1 Suppose -4*u - 4 = 3*p - 6*p, 3*p - 1 = u. Suppose p*k + k = 3. Let r = -7 + 8. Put 0.4, k, r in descending order. k, r, 0.4 Let t(b) = 4*b - 4. Let q be t(4). Suppose -3*s + q = s. Let a = -49 + 48. Sort a, 1, s. a, 1, s Let x = -0.078 + -3.922. Put x, -0.3, -0.1, -2 in increasing order. x, -2, -0.3, -0.1 Suppose -b - 18 = 5*b. Sort -2, b, 0 in decreasing order. 0, -2, b Let h(c) = -c**2 - 3*c + 11. Let n be h(2). Sort n, -4, 0. -4, 0, n Let z = -0.15 + 5.15. Let h be ((-4)/(-2))/(2/(-14)). Let k be (-4)/h - 6/(-28). Sort 0.1, k, z in decreasing order. z, k, 0.1 Let o(r) = -r**3 + 6*r**2 + r. Let g be o(6). Let h be 1*-1*(-7 + g). Let b = -1.9 - -2. Put 3/4, b, h in descending order. h, 3/4, b Let m = -0.141 + 0.141. Let a be (-2)/6 + (-13)/(-3). Suppose 5*o = a + 1. Sort 5, m, o in descending order. 5, o, m Let v = 3 - 2.75. Let o = -0.05 - v. Sort 2, -5, o in increasing order. -5, o, 2 Let h be (1 - 0)/(-1 + 2). Let a = 7 + -5. Sort -4, h, a in descending order. a, h, -4 Let g = -8 + 6. Put 4, g, -1 in descending order. 4, -1, g Let f = -4 - 1. Let h = -5 - -8. Let p be 405/210 - (-12)/21. Sort f, h, p in decreasing order. h, p, f Let x(r) = r**3 - 4*r**2 - 6*r + 7. Let m be x(5). Sort m, -2, -1. -2, -1, m Suppose -5*t - 56 = 2*t. Sort -1, -2, t in descending order. -1, -2, t Let l(z) = 5*z - 20. Let f be l(3). Sort -0.4, f, -3 in descending order. -0.4, -3, f Suppose -5*d + 5 = 20. Let l = 1 + -6. Put d, l, 2 in increasing order. l, d, 2 Let l(c) = c**2 + 9*c + 12. Let h be l(-8). Suppose 0 = -b - 0*b + h. Suppose -3*g = -4*g + 4*j - 20, 4 = -b*g - 3*j. Sort g, -5, 3 in decreasing order. 3, g, -5 Let a = -6/13 + 25/26. Let t = 0.1 - 0.1. Put t, a, -1 in ascending order. -1, t, a Let b = 14 + -13.8. Sort 1/9, -2, b in ascending order. -2, 1/9, b Let w be 10/35 + (-46)/14. Let a = 4.9 - -0.1. Sort a, w, 1/4. w, 1/4, a Suppose 2*p + 12 = -2*g, -2*g + 3*p = 3*g + 6. Let m be 0 - (-1)/(-1) - 1. Put m, g, 0 in descending order. 0, m, g Let w = 4.15 - 0.15. Put 0.2, -5, w in decreasing order. w, 0.2, -5 Suppose 2*a - 4 = 2*u, 2*a - 3*u + 4 - 12 = 0. Suppose -5*n - 4*l = -3 - 22, -2*n = 2*l - 10. Sort n, 3, a. a, 3, n Let u = -35/172 + -2/43. Let h = 0.4 + 8.6. Let c = 14 - h. Sort c, u, 0.5 in descending order. c, 0.5, u Let d = -8 + 8.3. Let f = -1.1 + 0.1. Put 5, f, d in descending order. 5, d, f Suppose f = -2*f - 15. Let k = -3 - -1.5. Let z = k + 2. Put 2/5, z, f in increasing order. f, 2/5, z Let x = 7.1 + -2. Let p = -5 + x. Put 3, 1/3, p in descending order. 3, 1/3, p Let z = 4.2 - 3. Let r = z - 1. Sort -2, -5, r. -5, -2, r Let q = 7 - 13/2. Let o be -1*(1 + (-10)/7). Sort q, o, -2 in descending order. q, o, -2 Let z = -12 + 17. Let k = 1.5 - 1.9. Put 4, k, z in increasing order. k, 4, z Let c be (-2)/(2 + 20/(-8)). Put 5, 8, c in ascending order. c, 5, 8 Let f be 4/10 + 93/(-120). Let p = f - -1/8. Let b = 0.16 - -0.34. Sort -4, b, p in descending order. b, p, -4 Let u(c) = -c + 5. Let r be u(10). Put 3, -2, r in increasing order. r, -2, 3 Let r = 5 - -31. Sort -2, 0, r. -2, 0, r Suppose 2*p - 20 = -3*p. Sort p, -3, -14 in descending order. p, -3, -14 Let o be 7 - (1 + -1 - -1). Let a = -1 + o. Let m(l) = l + 4. Let k be m(-7). Sort a, -2, k in descending order. a, -2, k Suppose -4*k - 2*h = 0, 16 - 3 = 5*k - 4*h. Suppose -2*u + 3*q - 5*q + 10 = 0, -4*q + 8 = 0. Suppose -3 - 6 = -u*d. Sort k, d, -4 in increasing order. -4, k, d Let v be (-1)/(-2) - 6/12. Let f be -2*(v + (0 - -1)). Let u be f + (7 - 0) + 0. Put u, 4, 1 in decreasing order. u, 4, 1 Let r = 4.2 + -1.2. Let l = r + -6. Sort 2, 1, l in descending order. 2, 1, l Let b be -1*3/6*-10. Let i(m) = -m - 2. Let s be i(-6). Put b, s, -1 in decreasing order. b, s, -1 Let g(j) = -j**3 - j**2 + 2*j + 2. Suppose 3*s = -7*l + 2*l - 4, -5*l - s = 8. Let r be g(l). Let v(c) = -c**2 + c + 2. Let u be v(r). Sort -5, u, 1. -5, u, 1 Suppose -4 - 16 = -4*z. Suppose -24 = -z*q + 9*q. Sort 3, -5, q in descending order. 3, -5, q Suppose 0*k = 3*k - 6. Let h be (-1 - 2) + 2 - -1. Suppose -i = -h*i. Sort k, i, 4 in decreasing order. 4, k, i Let k be (-36)/14 - 6/14 - -1. Let t = -3 - -2.5. Sort k, 3, t in increasing order. k, t, 3 Suppose -5*s + b = 8, 0*s - 4*s = -4*b. Let z = -16 - -11. Put s, z, 5 in descending order. 5, s, z Suppose x = 2 - 3. Let u = x + 5. Put u, 5, 0 in ascending order. 0, u, 5 Let p = 3 + -8. Let a = 5/8 - 31/24. Put 2/3, a, p in descending order. 2/3, a, p Let c be -3 + -5*14/(-22). Put c, 1, 0.2 in increasing order. c, 0.2, 1 Let i(g) = 3*g. Let o = 7 - 4. Let c be i(o). Let j be (0*3/c)/2. Sort 5, j, -5 in ascending order. -5, j, 5 Suppose -5*j + 1 = 5*s - 4, -4*s + 4 = -5*j. Sort j, -4, -5 in ascending order. -5, -4, j Let p(x) = x**2 + 5*x + 4. Let y(f) = -f**2 + 3*f + 7. Let h be y(5). Let g be p(h). Sort 5, g, 1 in decreasing order. 5, 1, g Let f = -196.95 - -197. Let k be 8/(-6)*1/(-8). Sort 2/25, f, k in descending order. k, 2/25, f Let j be 125/(-10)*6/(-5). Suppose -u + j = 4*u. Suppose 19 = -5*r - u*s, -2*r - 28 = 2*r - 4*s. Sort 4, -4, r in descending order. 4, -4, r Suppose k = -20 + 6. Let u(z) = z**2 + 1. Let y be u(-3). Let m = y + k. Sort -1, 5, m in increasing order. m, -1, 5 Let h(f) = -f - 12. Let u be h(-9). Put 4, -5, u, 2 in descending order. 4, 2, u, -5 Let i be -4*(5 + -6) + (-1 - 5). Put -1, -30, i in increasing order. -30, i, -1 Let d = -0.56 + 0.16. Sort -2.1, d, 4, 0 in increasing order. -2.1, d, 0, 4 Let c = -15 + 15. Put -2, c, 8 in ascending order. -2, c, 8 Let y = 0 - 0. Suppose 0 = -2*l - y*l. Let o = 16 + -20. Sort -2, o, l. o, -2, l Let z = 1.98 + -0.98. Sort z, 0.07, -1/2 in descending order. z, 0.07, -1/2 Suppose -3 = -u - 0. Let c(f) = -f**3 + 6*f**2 + 4. Let m be c(6). Let j be 2/(-9) - (-20)/9. Sort u, j, m. j, u, m Let i = 0.17 + -0.1. Let y = -46 + 48.93. Let z = y + i. Put -0.1, 1/6, z in ascending order. -0.1, 1/6, z Let n = 23 + -21. Sort -1, 0.6, n, 1/6 in increasing order. -1, 1/6, 0.6, n Let b be (-1)/3 + (-34)/(-30). Let l = 14.4 + -1.4. Let d = 13 - l. Put d, 5, b in increasing order. d, b, 5 Let u = 4 - 2. Let r = 8/51 + 3565/357. Let w = r - 10. Put w, -2, u in increasing order. -2, w, u Let p = -11 + 15. Let q = 3.04 + -0.04. Let u = q - p. Sort -2, 3, u in descending order. 3, u, -2 Let v(a) = -a**3 - 2*a**2 + 5*a + 1. Let b be v(-3). Suppose 6*g - 3*g - 22 = 2*u, -3*u = -5*g + 35. Sort -4, g, b in ascending order. b, -4, g Suppose 4*r = 5*u + 15, -u + 14 = 3*r - 2*u. Suppose 3*s = r*g + 7, 13 = s - 0*s + g. Put s, 1/4, 1/2 in decreasing order. s, 1/2, 1/4 Let p = 0.0127 - -3.9573. Let h = -0.03 - p. Sort h, -0.3, -1/9. h, -0.3, -1/9 Let g(q) = q**2 + 2*q - 3. Let c be g(-3). Suppose c = 4*w - 4*h, 0*w + 2*w = 3*h + 5. Suppose 0 = 2*i - 3*i + 5. Put w, i, 1 in decreasing order. i, 1, w Let n(j) = j**3 - 4*j**2 + 4. Let t be n(4). Put -5, -1, t in descending order. t, -1, -5 Suppose 1 = -2*s - 5. Let i = s + 6. Put 2, i, 6 in ascending order. 2, i, 6 Suppose -q = -6*q + 70. Put 5, q, -4 in ascending order. -4, 5, q Let i be 0 - ((-3)/18)/1. Let v = 0.22 + 0.08. Let y = 0 - v. Sort 1, i, y in decreasing order. 1, i, y Suppose 3*z - 310 + 316 = 0. Suppose o + 4 - 1 = 0. Sort z, -1, o in decreasing order. -1,
{ "pile_set_name": "DM Mathematics" }
x. What is the remainder when k is divided by 9? 7 Let h = -99 - -243. Calculate the remainder when h is divided by 30. 24 Let w(g) = 52*g**2 - 20*g + 20. What is the remainder when w(3) is divided by 27? 23 Suppose -2*l + 44 = 2*r, 122 = 3*r + 2*r - l. Let w = -52 + 67. Calculate the remainder when r is divided by w. 9 Suppose -2*c - 20 = -o, 10*o - 5*o = -c + 78. What is the remainder when 46 is divided by o? 14 What is the remainder when -56 - -53 - (-289 + 2 + -2) is divided by 77? 55 Suppose -18*n + 109 + 53 = 0. Calculate the remainder when 92 is divided by n. 2 Suppose 3*q - 28 = 4*c + 13, 5*q - 63 = 4*c. Let d = 72 - 53. Calculate the remainder when d is divided by q. 8 Suppose 2*w = 5*b + 20, 2*b - 1 = 2*w - 3*w. Suppose 0 = 2*m - w*m + 60. What is the remainder when 117 is divided by m? 17 Let p = -981 + 1182. Calculate the remainder when p is divided by 23. 17 Suppose 49 + 167 = 18*x. Calculate the remainder when 22 is divided by x. 10 Let k = -22 + 37. Suppose 5*n + 9*u - 6*u - 235 = 0, -3*n = -u - 155. What is the remainder when n is divided by k? 5 What is the remainder when -119*((-2)/9 - (-14)/(-18)) is divided by 31? 26 Suppose 0 = -3*i - 2*k + 139, -4*i - 2*k + 103 + 83 = 0. Calculate the remainder when i is divided by 6. 5 Let i be 9/6 - (-303)/6. Let d = 29 + i. Suppose 0 = 2*s - 58 + 2. Calculate the remainder when d is divided by s. 25 Let s(n) = n + 2. Let t(u) = 1. Let j(w) = s(w) - 6*t(w). Let b be j(8). Suppose -b*y + 7*y = 195. Calculate the remainder when y is divided by 22. 21 Let f = -4 + 1. What is the remainder when (f + (-7)/(-3))*-24 is divided by ((-7)/(-14))/((-3)/(-36))? 4 Suppose 2*l + 2*z = 0, 9 = l - 6*l - 2*z. Let b be 5 + (-3)/l + -3. Suppose -4*g + b*h + 45 = 16, -3 = -3*h. What is the remainder when g is divided by 4? 0 Suppose 4*q - 19 = 21. Suppose q = -11*n + 6*n. Calculate the remainder when 19 + (-2 - n/(-2)) is divided by 6. 4 Let w = 844 - 778. What is the remainder when 128 is divided by w? 62 Suppose -13*f + 257 = 75. What is the remainder when 178 is divided by f? 10 Let p(h) = h**3 + 13*h**2 - 48*h - 35. What is the remainder when p(-14) is divided by 13? 12 Calculate the remainder when -1 + ((-24)/4 - -96) is divided by 45. 44 Suppose 0 = -8*i + 193 - 81. Calculate the remainder when 132 is divided by i. 6 Suppose -14481 + 4833 = 12*w. Calculate the remainder when ((-4)/6)/(8/w) is divided by 10. 7 Let z(v) = 13*v - 4. Let d be z(-2). Let l = -4 + d. Let i = l + 85. Calculate the remainder when i is divided by 18. 15 Let m be (-36)/(-14) - (-20)/(-35). Suppose 4*j = m*q, 2*j = 4*q + j - 35. What is the remainder when 26 is divided by q? 6 Let j(g) = 10*g**2 - 4*g + 6. What is the remainder when 163 is divided by j(1)? 7 Suppose -4*g + 724 = -4*a, 0*g - 2*a - 181 = -g. What is the remainder when g is divided by 95? 86 Let v(o) = -16*o - 3. Calculate the remainder when v(-3) is divided by (-1)/(-2)*2*6. 3 Let f = -52 - -78. Calculate the remainder when 11/(51/(-27) + 2) is divided by f. 21 Suppose -2*y = -12*y + 30. Calculate the remainder when 5 is divided by y. 2 Let l = 125 + -25. Suppose 110 = 5*t - 145. What is the remainder when l is divided by t? 49 Let a = -7 + 9. Suppose 0 = u - 19 + 15. Suppose 5*n = a*n - 3*c + 21, -10 = -u*n + 2*c. What is the remainder when 14 is divided by n? 2 Let j = 104 - 91. Suppose 0 = 4*o - 225 - 23. What is the remainder when o is divided by j? 10 What is the remainder when (-6*6/(-54))/((-3)/(-180)) is divided by 21? 19 Let b(n) = -8*n - 143. Calculate the remainder when b(-23) is divided by 24. 17 Let n = -762 - -815. What is the remainder when 236 is divided by n? 24 Let b(l) = -l**2 - 4*l - 5. Let z be b(-4). Let g = z + 16. Suppose 0 = -2*m + m + g. What is the remainder when 54 is divided by m? 10 Suppose 3*k + 124 = 4*d + 19, 3*d + 5*k = 115. Calculate the remainder when 118 is divided by d. 28 Suppose 71 = 5*w + 11. Suppose 0 = -4*n + h + 217, 2*n - 67 - 37 = 2*h. Let k = 100 - n. What is the remainder when k is divided by w? 9 Let o = 85 - 42. What is the remainder when o is divided by 11? 10 Let w(r) = 26 + r + r - 3*r + 0*r. Calculate the remainder when w(-21) is divided by 25. 22 Let i = 81 - -19. Suppose -i = -3*q + 2*q - 4*u, 4*q = -5*u + 367. Suppose q = 5*n - 2*r - 1, 3*r + 91 = 5*n. What is the remainder when 33 is divided by n? 16 Suppose s + 5*f + 0 = -1, f = 2*s + 35. Let w = 27 + s. What is the remainder when 30 is divided by w? 8 Suppose 3*n + 2*h = 243, n + h - 67 = 5*h. What is the remainder when n is divided by 20? 19 Suppose 5*l - 2 = -5*m - 17, -3*m + 5*l = -23. Let t(s) = -s - 8*s + 2*s + 1 + m. What is the remainder when t(-4) is divided by 11? 8 Calculate the remainder when ((-50)/150)/((-2)/582) is divided by 31. 4 Let z be 4/(-10) - (-342)/30. Let f = -7 + z. Suppose 9 = n - f. Calculate the remainder when n is divided by 8. 5 Suppose z = h - 3, -4*h + h - 4*z = 26. Let t be 2 + 1*(-18 + h). What is the remainder when 6/t - (-88)/3 is divided by 8? 5 Let h(u) = 44*u - 4. Let x be h(2). Let m(n) = 22*n - 3. Calculate the remainder when m(2) is divided by x/6*(-12)/(-8). 20 Let j be (1 + 0 + 1/(-3))*-3. Let n(x) = 3*x**2 - 2. Calculate the remainder when 26 is divided by n(j). 6 Let i(k) = -2*k**2 - 28*k + 42. What is the remainder when i(-14) is divided by 12? 6 Let x(q) be the first derivative of 15*q**2 - 20*q + 21. Calculate the remainder when x(5) is divided by 44. 42 Let r(w) = 4*w + 4. Let p(t) = -t**3 - 30*t**2 + 17. Let b be p(-30). Let f = -13 + 28. What is the remainder when r(b) is divided by f? 12 Let q(u) = u**2 + 26*u + 44. What is the remainder when q(10) is divided by 17? 13 Let r = 1106 - 524. Calculate the remainder when r is divided by 65. 62 Let d(i) = i**2 + 26*i - 70. What is the remainder when 296 is divided by d(-29)? 7 Let v be (-150)/(-135) + (-1)/9. Suppose -i - v = -2*j - 11, -j + 4 = 4*i. What is the remainder when i is divided by 2? 0 Let r(x) be the first derivative of -9*x**4/4 + x**3/3 - x**2/2 + x + 1. Let c be 21/42*(0 - 4). What is the remainder when r(c) is divided by 41? 38 Let s = -24 - -34. Let t = s - 5. What is the remainder when 7 is divided by t? 2 Let x(m) = m**3 + 8*m**2 + 6*m - 7. Suppose -5*t + 3*a = -2*a + 5, -3*t + 1 = -4*a. Calculate the remainder when x(t) is divided by (-2)/5 - (-102)/5. 18 Suppose 7*x - 12 - 240 = 0. Calculate the remainder when x is divided by 24. 12 Suppose 4*r = r + 9. Suppose 0*b - 42 = -r*b. Calculate the remainder when b is divided by (-76)/(-8) - 6/4. 6 Suppose 17 = -5*k + 122. Calculate the remainder when 94 is divided by k. 10 Let f(n) = -230*n + 1660. What is the remainder when 347 is divided by f(7)? 47 Suppose 32*p = 41 + 55. What is the remainder when 20 is divided by p? 2 Let b be 0/((12/3)/((-8)/(-4))). Suppose 5*g - 50 = 3*a, -3*g + b*g = -5*a - 14. What is the remainder when 75 is divided by g? 10 Let t(m) be the third derivative of -m**5/60 + 11*m**4/24 - 5*m**3/6 + 4*m**2. Suppose 0 = -0*d - 5*d + 50. Calculate the remainder when 13 is divided by t(d). 3 Let q(z) be the second derivative of z**4/12 + z**3/6 + 7*z**2/2 - z. Calculate the remainder when q(-8) is divided by 56*4/(15 + (-8 - 0)). 31 Let g = 499 - 479. Calculate the remainder when (21/12)/(1/44) is divided by g. 17 Let a = -52 - -94. Calculate the remainder when (1 - a/(-8))*(5 + -1) is divided by 9. 7 Let d = 307 + -435. Let t = 167 + d. Calculate the remainder when t is divided by 22. 17 Let s(f) = f**2 - 7*f + 150. Let o be s(0). Let v = o - 148. Suppose 3*k + 5 = 11. Calculate the remainder when k is divided by v. 0 Let q(h) = 2*h**3 - 3*h**2 - h - 29. Let k be q(7). Suppose s - 5*a = 3*s - 241, -4*s - 3*a + k = 0. Calculate the remainder when s is divided by 22. 18 Suppose -952 = 94*r - 122*r. What is the remainder when 2685 is divided by r? 33 Let d(l) be the first derivative of -l**2/2 - 3*l + 1. Let t be d(-10). What is the remainder when 60 is divided by t*(-3)/(-3 + 2)? 18 Suppose -2*n + 16*j = -51 - 91, -j + 17 = n. Let q = -28 - -140. What is the remainder when q is divided by n? 20 Suppose -27*j - 1271 + 3107 = 0. What is the remainder when 813 is divided by j? 65 Suppose -5*m = 20 + 5, -2*m = -5*v + 45. Let a(c) = -78*c. Let n be a(-1). Suppose n = -v*q
{ "pile_set_name": "DM Mathematics" }
ne -3*j(r) + 2*u(r). 4*r**3 + 41*r**2 Let s(t) be the first derivative of 7/2*t**2 + 6*t - 24. Let i(z) = 6*z + 5. Give -6*i(v) + 5*s(v). -v Let d(f) = 2*f + 4*f - 2*f**3 + 6 - f**3 + f**2. Let y(k) = 5 + k**2 + 7554*k**3 + 2*k - 2*k + 5*k + 0*k - 7556*k**3. What is -5*d(n) + 6*y(n)? 3*n**3 + n**2 Let r(y) = -y**2 + y + 1. Let k(a) = -3*a**2 + 15. Let g(f) = 9*f**2 - f - 43. Let i(h) = -4*g(h) - 11*k(h). Calculate -i(n) + 4*r(n). -n**2 - 3 Let m(s) = 25*s**2 + 13*s. Let p(n) = 6*n**2 + 3*n. Suppose -4*q + 7*h - 5*h - 100 = 0, -84 = 3*q + 3*h. What is q*p(g) + 6*m(g)? -6*g**2 Let g(z) = 41*z + 6. Let v(t) = -17*t - 4. Calculate -6*g(y) - 13*v(y). -25*y + 16 Let x(w) = -32*w + 359. Let y be x(11). Let i(u) = 6*u**3 + 9*u**2 + 7*u - 1. Let t(j) = -3*j**3 - 5*j**2 - 4*j + 1. Calculate y*t(k) + 4*i(k). 3*k**3 + k**2 + 3 Let d(v) = v**2 + v. Let c(g) be the first derivative of 4*g**3/3 + g**2 - 1. Let y = -2276 - -2277. Give y*c(l) - 2*d(l). 2*l**2 Let v(w) = w**2 + 68 + 75 - 142. Let s(g) = g**2 - 4*g + 3. Calculate -s(o) + 2*v(o). o**2 + 4*o - 1 Let l(j) = -7*j**2 - 3. Let u(s) = -20*s**2 + 5*s - 7. Let a(n) = -n**2 + n. Let r(o) = -5*a(o) + u(o). Calculate -5*l(y) + 2*r(y). 5*y**2 + 1 Let p(z) = -2*z**3 - 5*z. Let a(h) = h**3 - h. Let f be 5 + 0*(-6)/(1 - -5). Calculate f*a(o) - p(o). 7*o**3 Let o be ((-234)/30)/(1/15). Let k(x) = 9*x. Let f(z) = 260*z. Determine o*k(g) + 4*f(g). -13*g Let j be 1*-2 - 0/11. Let y(b) = 2*b + 2. Let u be y(j). Let m(g) = g**2 - 3*g. Let x(c) = 50*c + c**2 - 28*c - 24*c. Determine u*m(t) + 3*x(t). t**2 Let w(p) = 6*p - 1. Let n(h) = 0 + 0 + 1 - 5*h. Let j be -1 + 5 - (0 + 0)*-1. Suppose -4 = -4*x, j*v - x = -5 - 12. Give v*w(g) - 5*n(g). g - 1 Let p(n) = 6 - 6 + 2*n + 4 + 6 - 8. Let b(o) = -1. Suppose -5*k - 3 = -2*k. What is k*p(i) - 2*b(i)? -2*i Let c(o) be the third derivative of 7/6*o**3 + 1/8*o**4 + 0*o - 5*o**2 + 0. Let v(t) = -1. Give -c(p) - 6*v(p). -3*p - 1 Let m(o) = 52*o**3 + o - 4. Let i(u) = -25*u**3 + 2. Calculate 5*i(x) + 3*m(x). 31*x**3 + 3*x - 2 Let s(n) = 25*n + 5 + 23*n - 47*n. Let z(a) = 1. Calculate s(t) - 3*z(t). t + 2 Let v(c) = -4*c. Let y(w) = w. Suppose 249 = 5*t - f, t - 100 = 4*f - 35. Let m = t + -40. What is m*y(z) + 2*v(z)? z Let i = 5 - -1. Let z = -282 - -289. Let k(n) = -n**3 - 2*n**2 + 7*n - 2. Let v(w) = w**3 + 2*w**2 - 6*w + 2. Give i*k(t) + z*v(t). t**3 + 2*t**2 + 2 Let t(v) = 63*v - 29*v - 31*v. Let w(m) = 3*m. What is 2*t(n) - 3*w(n)? -3*n Let m(o) = -19*o**2 + 10*o**2 + 15*o**2 - 2*o - 3. Let f(v) = 3*v**2 - v - 1. Determine 7*f(n) - 3*m(n). 3*n**2 - n + 2 Let w(h) = -3*h - 13. Let q(j) = -j - 6. Let a(r) = -2*r + 35. Let p be a(15). Suppose 0 = -p*t - 9*t + 56. Give t*w(y) - 9*q(y). -3*y + 2 Let k(u) = 17 + 19 - 35. Let n(a) = -a**2 - 9*a - 9. Let x be n(-7). Let l(j) = -j - 3. Determine x*k(p) + l(p). -p + 2 Suppose 37*i = 35*i + 12. Let t(m) = -m**3 + m. Let q(p) = 19*p**3 - 6*p. Determine i*t(j) + q(j). 13*j**3 Let s(v) = 220*v - 9. Let x(l) = 550*l - 22. Give 12*s(p) - 5*x(p). -110*p + 2 Let n(w) = -5*w. Let k(s) = 4*s + 5. Let u(t) = t + 1. Let h(i) = 4*k(i) - 20*u(i). Suppose 0 = -22064*b + 22077*b + 39. What is b*n(m) + 4*h(m)? -m Let h(y) = 114*y - 24. Let d(t) = 3. Calculate -24*d(n) - 3*h(n). -342*n Let v = -153 - -147. Let x(i) = 11*i - 2. Let t(m) = -m. Determine v*t(y) - x(y). -5*y + 2 Let q(s) = -3*s + 7. Let l(h) be the first derivative of -h**2/2 + 2*h + 80. What is -14*l(n) + 4*q(n)? 2*n Let h(x) = x. Let r(p) = 12*p - 8. Let n(y) = -2 + 8 + 104*y - 122*y + 7. Let a(u) = -5*n(u) - 8*r(u). What is a(c) + 3*h(c)? -3*c - 1 Let h(u) = -7*u. Let b(x) = -x - 1. Let s(i) = 8. Let c(k) = -8*b(k) - s(k). Let t(n) = -3*c(n) - 4*h(n). Let z(v) = v. Determine -t(w) + 3*z(w). -w Let b(m) = 14*m + 7. Let k(o) = -o - 2. Determine b(d) - 3*k(d). 17*d + 13 Let w(q) be the first derivative of -q**2 + 2 + 4*q**3 - 1/2*q**4 - 14*q. Let s(p) = -p**2 + 1. Let c = 4 + -16. Determine c*s(b) - w(b). 2*b**3 + 2*b + 2 Let r(v) = -v - 2. Let t(h) = 2*h + 4. Let u = -8 - -12. Let q = -174 + 181. Calculate q*r(x) + u*t(x). x + 2 Let d(y) = -1. Let s(x) = -x - 2. Let q(h) = 3*h**2 + 2*h + 37. Let a(u) = -q(u) - 2*s(u). Calculate -2*a(o) + 66*d(o). 6*o**2 Let g(q) be the second derivative of -q**4/6 + 11*q**3/6 - 11*q**2/2 + 15*q. Let u(p) = p**2 - 6*p + 6. Suppose 5*h + 29 = -1. Determine h*g(o) - 11*u(o). o**2 Let l(d) = -11*d + 639. Let m(y) = 18*y - 959. What is 8*l(c) + 5*m(c)? 2*c + 317 Let k(q) be the first derivative of 5*q**4/4 + 3*q**2 - 593. Let a = -9 + 16. Let w(c) = -6*c**3 - 7*c. Determine a*k(f) + 6*w(f). -f**3 Let j(p) = -9*p**2 - 16*p + 1. Let a(d) = -d**3 - 7*d**2 - 17*d. What is 3*a(g) - 2*j(g)? -3*g**3 - 3*g**2 - 19*g - 2 Let m(h) = 3*h**2 + 25*h. Let z(c) be the first derivative of -4*c**3/3 - 37*c**2/2 + 34. Calculate -7*m(p) - 5*z(p). -p**2 + 10*p Let m(i) = i. Let o(h) be the third derivative of h**4/24 - h**3/6 + 39*h**2. Determine -5*m(q) + 6*o(q). q - 6 Let z(y) = 10*y**3 - 18*y**2 - y + 5. Let k(s) = 8*s**3 - 18*s**2 + 4. Determine -4*k(i) + 3*z(i). -2*i**3 + 18*i**2 - 3*i - 1 Let q(t) = -t. Let f(g) = 2*g**2 + 4*g. Let w = 181 + -186. Determine w*q(n) - f(n). -2*n**2 + n Let y(u) = u. Let v(f) be the third derivative of -7*f**4/24 + 36*f**2 - 4. What is -v(n) + 4*y(n)? 11*n Let c(y) be the third derivative of -y**6/120 - y**5/15 - 2*y**2 - 20. Let a(m) = -m**3 - 7*m**2. Calculate 4*a(d) - 7*c(d). 3*d**3 Let n be (-2 + 9)*(-6)/(-7). Let a = 18 - 16. Let u(c) = -7 + 5*c**2 + 7*c**a - 4*c**2 - 3*c**2. Let b(s) = -s**2 + 1. What is n*b(y) + u(y)? -y**2 - 1 Let s(r) = -r + 10. Let l(k) = 7*k + 18. Let b(q) = -12*q - 34. Let g(y) = -4*b(y) - 7*l(y). What is 7*g(f) - 6*s(f)? -f + 10 Let f(t) = 5*t**3 + 21*t**2 - 7*t + 78. Let a(y) = -2*y**3 - 9*y**2 + 3*y - 39. Determine 7*a(v) + 3*f(v). v**3 - 39 Let c(o) = -34*o**2 - 3*o - 2. Let w(b) = 35*b**2 + 4*b + 2. Give 4*c(k) + 3*w(k). -31*k**2 - 2 Let w(s) = 2*s**3 + 4*s + 4. Let q = 63 - 53. Suppose -7*r - q = -9*r. Let y(u) = 2*u**3 + 5*u + 5. Suppose 0*t - 4*t - 16 = 0. Determine r*w(n) + t*y(n). 2*n**3 Suppose -5*a - 18 = 2. Let s(b) = -b**3 - b. Let w(v) = -v**3 - v + 0*v + 0*v**3. Let y be (990/360)/((-2)/(-8)) - 6. Give a*w(d) + y*s(d). -d**3 - d Let g(k) = -34*k**3 + 42*k**2 + 14*k + 44. Let c(v) = 17*v**3 - 18*v**2 - 6*v - 22. What is 7*c(w) + 3*g(w)? 17*w**3 - 22 Let q(f) = 6*f**2 + 4*f + 8. Let z(x) = -2*x**2 + 2*x + 1. Determine q(t) - 2*z(t). 10*t**2 + 6 Let c(v) be the first derivative of 1/3*v**3 - 2*v**2 + 2*v - 11. Suppose -4*m = -7*m + 6. Let h(n) = -n**3 - n**2 + 9*n - 5. Determine m*h(g) + 5*c(g). -2*g**3 + 3*g**2 - 2*g Let y = -29 + 25. Let i(a) = 7*a**2. Let d(g) be the second derivative of -2*g**4/3 + 4*g. Determine y*d(q) - 5*i(q). -3*q**2 Let i(b) = 20*b**2 + 25*b - 25. Let a(x) = -19*x**2 + 18*x - 18. Let y(v) = 7*v**2 - 6*v + 6. Let o(c) = -6*a(c) - 17*y(c). Determine -6*i(h) - 25*o(h). 5*h**2 Let s(f) = -108*f**2 + 2*f + 4. Let d(q) = -q**2 - 1. Determine -5*d(z) - s(z). 113*z**2 - 2*z + 1 Let l(n) = 5*n**3 - n**2 + 16*n - 1. Let u(c) = c**3 - c**2 + c + 1. Calculate -l(s) - u(s). -6*s**3 + 2*s**2 - 17*s Suppose -j = 4*g + g - 8, -3*g = 4*j + 2. Suppose 2 = -m + b, b + g*b = -3. Let u(w) = w**2 - 3*w. Let z(p) = p. Let f = 1 + -2. Calculate f*u(h) + m*z(h). -h**2 Let d(p) = 2*p**3 - 10*p**2 - p - 2. Let b(q) = -5*q**3 + 22*q**2 + 3*q + 3. Determine 4*b(n) + 9*d(n). -2*n**3 - 2*n**2 + 3*n - 6 Let a(j) = -j**3 - 4*j - 6. Let z(u) = u + 1. Let n(w) = w**3 + w**2 - 2*w - 1. Let f be ((-20)/(-15))/(2/(-3)). Let g be n(f). Determine g*a(s) - 6*z(s). s**3 - 2*s Let u(r) = r**2 + 2*r - 2. Let c(z) = -109*z**2 + 9*z - 12. What is -c(t) + 5*u(t)? 114*t**2 + t + 2 Let h(d) = 6*d - 31. Let z(w) = 3*w - 16. Calculate 3*h(u) - 7*z(u). -3*u + 19 Let t(m) = -2*m**2 + m + 2. Let o(g) = -11*g**2 + 7*g + 46. Calculate -o(j) + 4*t(j). 3*j**2 - 3*j - 38 Let y(t) = -405*t + 3645. Let q(h) = 3. Give -1215*q(x) + y(x). -405*x Let y(a) = -92*a**2 - 19*a + 4. Let o(g) = -137*g**2 - 29*g + 6. Calculate -5*o(b) + 7*y(b). 41*b**2 + 12*b - 2 Let x(y) = 24*y**2 + 8*y + 8. Suppose 14 + 178 = 24*k. Let d(b) = 8*b**2 + 3*b + 3. Determine k*d(r) - 3*x(r). -8*r**2 Let r(d) = 12*d**3 + 6*d**2 + 4*d - 3. Let v(j) = 24*j**3 + 13
{ "pile_set_name": "DM Mathematics" }
. Let i be (-8)/(-36) - n/36. Let v = -36 + i. Which is the third biggest value? (a) -2/3 (b) v (c) -0.4 b Let p be ((-2)/(-6))/((-11)/(-22)). Let k = -2.712 - 0.258. Let d = -2.6 - k. Which is the biggest value? (a) -3/4 (b) p (c) d b Let x = 13602/5 + -2721. Which is the second smallest value? (a) -1/5 (b) x (c) 2/11 (d) 2/9 a Let o(p) = p**3 - 85*p**2 - 2*p + 174. Let l be o(85). Which is the fourth biggest value? (a) 0.3 (b) 0.6 (c) 1.63 (d) l a Let z(s) = -2*s**3 + 2*s + 1. Let i be z(-1). Let x = -38.47 - -40.47. What is the second smallest value in -1, x, i, -0.05? -0.05 Let u = -29.999 + 30. Let l = u + -2.301. Let j = l + 2.3. Which is the second smallest value? (a) j (b) -2/5 (c) -8 b Let q = -4205.5 + 4205. Let j be -1 - (5 - (2 + 0)). Suppose -5*u - w + 10 = -4*w, 0 = 4*u - 4*w. Which is the second biggest value? (a) q (b) u (c) 1 (d) j c Let z = -2.5 + 40.5. Let w = 37.75 - z. Let u = w + -0.25. What is the smallest value in 0.06, 3/2, u? u Let u be (0 - -3)*89/1335*10/4. Which is the third biggest value? (a) 0.73 (b) u (c) -2/3 (d) 2 (e) 4 a Suppose 366*a - 379*a + 338 = 0. What is the biggest value in a, -2/13, -14? a Let p be ((-145)/2)/((-16)/(-160)). Let n = p + 724. Which is the smallest value? (a) -0.5 (b) -5/6 (c) 0.5 (d) n d Let l = -0.558 - -0.458. Let z be (3 - 22/8)*4/(-5). Which is the third biggest value? (a) 1/7 (b) l (c) -4 (d) z d Let m be (45 - 1036/28) + (-5)/((-15)/(-22)). Let s be (-4*1)/2*-2. Which is the smallest value? (a) s (b) 25 (c) m c Let y be (36/(-405))/(1/(-5)). Suppose 20 = 2*p - 4. Let j = p + -17. What is the second biggest value in j, 4, y? y Let d be (-1539)/162 + (-20)/(-2). Let s = 8 - 1. Let y = 884 + -879. Which is the second smallest value? (a) y (b) d (c) s a Let x be (-2)/8 - 23/(-28). Let z = 621 + -620.358. Let j = -0.542 + z. Which is the smallest value? (a) x (b) -3 (c) -5 (d) j c Let w = -2/2453 - 2443/12265. Which is the second smallest value? (a) -0.3 (b) -2/51 (c) 0 (d) 5 (e) w e Let h be ((-49772)/272)/((-20)/80). Let s = -732 + h. Which is the fourth smallest value? (a) 0 (b) s (c) 0.3 (d) 0.6 d Let p = -0.07351 + -9.92649. What is the fifth smallest value in 0.3, -2/7, 2/3, 3, p? 3 Let z = -8.575 - -5.575. Suppose u + 3 = 2*u. Suppose u*q = 5*q + 8. Which is the biggest value? (a) z (b) q (c) 10 (d) -0.5 c Let f = 2.71 + 0.29. Let k = -83 - -127.9. Let r = -45 + k. Which is the smallest value? (a) r (b) f (c) -1 c Let f = -2808 - -2812. What is the third smallest value in 7/88, -1, f? f Suppose 0 = x + 2*d, -4*x - 5*d = 7 + 2. Let f be (-10)/75*(-1 - x/(-4)). Let s be -1 - (0 + 1 + 1). What is the third smallest value in f, s, -2/7? f Let y = -23482/9 + 2609. What is the second smallest value in 61, -0.5, y? y Suppose 96 = -2*x - 3*d, -5*x - 1364 = 3*d - 1142. Let q = -0.2 - 0.2. Which is the third biggest value? (a) x (b) q (c) -0.5 a Let u = -1302 - -1306.12. Let k = u + -7.12. Let q = 1 - 1. What is the smallest value in k, q, 1? k Let d = -4675 + 4675. What is the second smallest value in d, -2, -5? -2 Let l = -48049/3 + 16016. Which is the third biggest value? (a) 0.268 (b) l (c) 5 (d) -1 b Let m = 6079/21203 - 3/3029. Which is the third smallest value? (a) m (b) -4 (c) -0.93 a Let p(y) = y**3 + 5*y**2 - 6*y - 1. Let j be p(-6). Let n be 4/6 + 21*j/27. Which is the third biggest value? (a) 0 (b) 13.9 (c) n c Let y = -0.6 - -0.9. Let m = -70 + 73. Suppose 29 = 5*q + i - m*i, 0 = -4*q - 3*i + 14. What is the second smallest value in -1, y, q? y Let w = -59.49 - -63.1. Let u = w + 111.39. What is the third smallest value in u, 0, 1? u Let m = 22.7 - -1.5. Let y = -23.2 + m. Let x = 10 - 7. Which is the second smallest value? (a) y (b) 0.2 (c) x a Let u = 0 - 1. Let x = 18559/39676 + -19/3052. What is the smallest value in -1/3, u, -1.4, x? -1.4 Let i be 6/((-660)/(-121)) + (-4)/5. What is the third smallest value in -1/8, i, -2, 0.8, -4/3? -1/8 Let z be (5 + 0)*(-12)/15. Let t = -1.26146 - 9.73854. Which is the fourth biggest value? (a) z (b) 1/3 (c) 0.3 (d) t d Let j = 46.09 - 49.2. Let r = j + 2.81. What is the smallest value in 0.1, 1, r, -1/4? r Let z = 7.564 - 7.5. Let t = -0.156 - z. Let o = t - -0.12. Which is the third biggest value? (a) o (b) -1 (c) 1 b Suppose 3*u + 18 = 0, 2*o + 2*u - 371 + 375 = 0. Which is the third biggest value? (a) 0.01 (b) o (c) -2/239 c Let j = -1746.7 + 1741.7. Which is the biggest value? (a) j (b) 0.03 (c) 7 c Let m = 3.21 + -15.21. Let y = -36 - -33. Which is the second biggest value? (a) y (b) -1 (c) m a Let y be (-15)/(-10) - ((-3906)/292)/(-9). What is the smallest value in -2, y, -0.06? -2 Let y = 110377/5 + -21979. Let t = y + -96. Let o = 4 - 4.3. Which is the smallest value? (a) t (b) -0.5 (c) -2/5 (d) o b Let i = 13963 + -13969. Which is the third smallest value? (a) 0.4 (b) -0.1 (c) -343 (d) i b Let w be 0 - 60 - (-121)/(3630/60). What is the second biggest value in -2/363, w, -0.2? -0.2 Let z(p) = p**3 + 23*p**2 + 24*p + 49. Suppose -4*d - 86 = 2. Let q be z(d). Let u = -4 + 7. Which is the biggest value? (a) q (b) 2/11 (c) u a Suppose -3*f - 24 = -4*x, 4*f - x + 272 = 266. Which is the smallest value? (a) -2/7 (b) -4 (c) 5 (d) -99 (e) f d Let h = 95.8 - 95.9. Let v be (-14)/(-8)*(-54)/(-63). Which is the third smallest value? (a) v (b) h (c) 2/13 a Let y = -1.2214 - -1.0214. Which is the fifth smallest value? (a) y (b) -3 (c) -1 (d) 5/183 (e) 0.2 e Let x = 17 + -105. Let o = x + 91. Which is the second biggest value? (a) -6 (b) 2/7 (c) o (d) -3 b Let r = 308.28 + -309. Let n = r - 2.28. What is the smallest value in -2, n, -3/98? n Let n be 558/651 + ((-3800)/14)/4. Which is the third smallest value? (a) 0 (b) 3 (c) n b Let p = -32.886 - -33.4. Let t = -68.3 - -68.314. Let z = t - p. What is the second biggest value in 1/8, z, -0.2? -0.2 Let y be -4 - 3/(24/(-88)). Suppose -2*n + f = -y - 3, 3*f = 0. What is the second smallest value in -4, -0.2, 49, n? -0.2 Let y = -520 - -527. Suppose -10*c - y + 27 = 0. What is the smallest value in -0.3, c, 4? -0.3 Let c = 181 - 162.2. Let j = -40.2 + c. Let n = j + 21. What is the second biggest value in n, -5, 1? n Let z be (156/(-104))/(6/8). Let i be (-4 - z) + -3 + (-215)/(-45). Let s be -2 + 0/2 + 4. Which is the second biggest value? (a) s (b) 0 (c) 5/3 (d) i c Let b be 10/14*-7*24/280. Let r = 0.07 - 0.57. What is the fourth biggest value in 5, r, -0.06, b? r Let z = 305/2 + -2123/14. Let o = -246 + 242. Which is the fourth biggest value? (a) 4/5 (b) z (c) -5 (d) o c Let q = 813.3 + -743.17. Let x = q - 70. Which is the smallest value? (a) 2/5 (b) x (c) -0.3 (d) -0.2 c Let u = 327.0126 - 327. Let r = u - -7.9874. Which is the smallest value? (a) -5 (b) 18 (c) r a Let c = 906.5 + -906.2. What is the biggest value in -55, -5, c? c Let i = -2982.5 + 2982. What is the second biggest value in 2/3, i, 2/9, 1.6, 5? 1.6 Let s be 35/(-10) + 1105/390. Which is the third smallest value? (a) s (b) 1/6 (c) -19/3 b Suppose -4*n + 2*k + 4 = 2, -3*n = -5*k - 5. Suppose -11*i - 178 + 145 = n. Suppose 2*s = -3*s. Which is the smallest value? (a) -0.5 (b) i (c) s (d) 3/2 b Let a = 3 + -1. Let q = 0.3 + 0.7. Let y = -1093658 + 1093662. What is the biggest value in a, q, y? y Let g = -109.84 + 109.64. Which is the third smallest value? (a) g (b) 1 (c) -0.1 (d) -413 c Let r = -19048/85797 + -2/9533. Let i = 2.06 + -0.06. Which is the biggest value? (a) r (b) -0.2 (c) i (d) -3 c Let d = 7 - 3. Let w = 218 - 231. Let r be ((-676)/(-12))/w + 3. What is the second biggest value in r, -2, d? r Let w = -5510.3 + 5511. Which is the second biggest value? (a) -5 (b) -2/9 (c) -2 (d) w b Let l(g) = g**3 + 4*g**2 - 4*g - 6. Let h be l(-4). Suppose -5*o + 1215 = h*o. Let j = o - 90. Which is the third smallest value? (a) j (b) 0 (c) 5 c Let w(n) = 11*n**2 + 25*n - 26. Let x be w(1). Let g = 34 - 67/2. What is the third biggest value in x, -5, g, -4? -4 Let i be (60/18 - (1 + 3)) + 0. Let k = 219/131 + -2/393. What is the biggest value in i, 1, 0.2, k? k Let l = -136.44 + -2.56. Let j = l + 137. Let p = -9 + 14. Which is the third smallest value? (a) 2
{ "pile_set_name": "DM Mathematics" }
when 38 is divided by u? 3 Let m = -31 + 55. Suppose 0 = -2*c + 4*c - m. Calculate the remainder when 35 is divided by c. 11 Suppose -4*n = 4*v - n - 3, 0 = v - 5*n - 18. Suppose -v*u + 275 = 107. Calculate the remainder when u is divided by 2256/112 - (-3)/(-21). 16 Suppose 2*d + 22 = 2*j - 0*d, j - 14 = 4*d. Suppose -n - 11 = -h + 28, 0 = -3*n. Suppose -5 + h = 2*o. Calculate the remainder when o is divided by j. 7 Calculate the remainder when 223 is divided by (-26)/(-12 + 232/20). 28 Suppose 0 = 6*i - 120 - 1116. Calculate the remainder when i is divided by 19. 16 Suppose -4*b + 53*a = 50*a - 262, 0 = b - a - 65. What is the remainder when b is divided by 7? 4 Let q = 599 + -378. Calculate the remainder when q is divided by 106. 9 Suppose -1 = -3*l + 5. Suppose l*q = 5*u - 454, 3*u + 2*q - 151 - 115 = 0. Suppose 5*k - 2*k - u = 0. What is the remainder when k is divided by 8? 6 Let s = 196 - 189. What is the remainder when 67 is divided by s? 4 Let i(x) = -x**2 + x + 348. Calculate the remainder when 671 is divided by i(18). 41 Let n(u) = u**3 - 6*u**2 + 6*u + 2. Let w = 78 - 122. Let s = 70 + w. Calculate the remainder when s is divided by n(5). 5 Let a = -922 - -942. What is the remainder when 181 is divided by a? 1 Let m(t) = 6*t**2 - 2*t + 15. What is the remainder when m(2) is divided by 19? 16 Suppose 0 = -5*v + b - 639 + 3019, 5*b - 2380 = -5*v. Calculate the remainder when v is divided by 37. 32 Let s(m) be the first derivative of -m**4/4 + 2*m**3/3 + 2*m**2 - m - 1. Let x(d) = 2*d + 51. Calculate the remainder when s(-3) is divided by x(-20). 10 Suppose 5*p - 2*s = 59, 3*p + 2*s = s + 42. Suppose -2*f + 189 = 2*f + 5*w, f = -5*w + 36. What is the remainder when f is divided by p? 12 Suppose -3*l - 18 = 2*z, 0 = 5*z + 2*l + 57 - 1. Let v = 16 + z. What is the remainder when 15 is divided by v? 3 Suppose -3*u + 190 = 2*u. Let y(a) = 45*a**2 + 18*a + 7. What is the remainder when y(-2) is divided by u? 37 Suppose -7*d - 502 + 1195 = 0. What is the remainder when d is divided by 31? 6 Let j(f) = -16*f**2 - 227*f + 27. Calculate the remainder when 200 is divided by j(-14). 62 Let a = -909 + 1063. What is the remainder when a is divided by 48? 10 Calculate the remainder when ((2310/(-40))/(-3))/((-1)/(-4)) is divided by 27. 23 Suppose -6*a - 4723 = -4825. What is the remainder when (5/(-3))/(2/(-222)) is divided by a? 15 Let p = 8 + -33. Let z = p - -58. What is the remainder when z is divided by 9? 6 Let y = -74 + 95. What is the remainder when 81 is divided by y? 18 Let k = 74 - 53. Let z(y) = -y**3 + 20*y**2 + 24*y - 16. Calculate the remainder when z(k) is divided by 3. 2 Let z(k) = 168 + 202 - k**3 - 374 - 5*k**2 - 5*k. Let v(u) = -u**3 - 6*u**2 - 5*u - 5. Let y be v(-5). What is the remainder when z(y) is divided by 8? 5 Suppose 3*j + 17 = 5*v + 5, -3*j + 3*v = 12. Let k = 17 + j. What is the remainder when k is divided by (-2)/(2/20*-4)? 3 Let z(l) = 5*l - 9. Calculate the remainder when z(17) is divided by 36. 4 Let q be 58/6 + (84/(-18) - -4). Suppose q*z - 560 = -5*z. What is the remainder when z is divided by 21? 19 Suppose 27*g = 22*g + 90. Calculate the remainder when 29 is divided by (1 + 4 + 14/(-3))*g. 5 Let t be 2 - (-1 + 1 - 0). Let y(h) = -h - 19. Let u be y(-19). Suppose 0 = 3*p - u*s - 2*s + t, -5*p + 4*s = 6. What is the remainder when p is divided by 1? 0 Let v(w) = -6*w + 152. Let f(z) = -z - 1. Calculate the remainder when v(22) is divided by f(-6). 0 Let p(c) = 2*c**2 + 18*c - 4. Let f be p(-10). What is the remainder when ((-60)/f)/(1/(-4)) is divided by 5? 0 Let q(d) = 11*d - 24 - d**2 + 0*d + 7*d. Calculate the remainder when 162 is divided by q(13). 39 Let c(o) = -o**3 + 16*o**2 + 6*o + 29. Let a = 1 - -15. What is the remainder when c(a) is divided by 32? 29 What is the remainder when ((-5748)/(-8))/3 - 6/4 is divided by 40? 38 Suppose 0 = z + 2*z - 30. Suppose -122*a + 4176 = -50*a. Calculate the remainder when a is divided by z. 8 Suppose 20 = 2*o + b, -3*o = o - b - 40. What is the remainder when 18 is divided by o? 8 Suppose 665 = -6*m + 13*m. What is the remainder when m is divided by 14? 11 Let p = -21 - -20. Let j = 27 - p. What is the remainder when j is divided by 10? 8 Let y(w) = -282*w**3 + 3*w**2 + 3*w - 2. Let i be y(-2). Calculate the remainder when ((-4)/18)/(-1) + i/36 is divided by 8. 7 Calculate the remainder when 2 + 392/24 + (-4)/(-6) is divided by 13. 6 Suppose 0 = -3*l + 5*t + 162, -2*l + 53*t = 50*t - 108. What is the remainder when 160 is divided by l? 52 Let l be 2/9 + (-700)/(-9). Suppose -5*i + 3*h = -0*i - l, 4*i = 2*h + 64. Calculate the remainder when 89 is divided by i. 17 Suppose 48*u - 3*j + 174 = 49*u, -3*j = -3*u + 474. What is the remainder when u is divided by 19? 10 Suppose 7*m + 2 = -33. Calculate the remainder when 2 - 0/3 - m is divided by 2. 1 Let g = 3 - 5. Suppose 3*x + 6*z - 23 = z, -2*x - 5*z + 7 = 0. Calculate the remainder when 1 - 29/2*g is divided by x. 14 Let w = -549 + 800. Calculate the remainder when w is divided by 11. 9 Let z = 5 - -4. Suppose 4 = v - 1. Suppose -3*g - b = 4*b - 107, -4*b = -v*g + 240. What is the remainder when g is divided by z? 8 Suppose -5*s = -s - 1356. Suppose -69 + s = 3*v. Calculate the remainder when v is divided by 13. 12 Let u(q) = 1 - 5*q**3 + 4*q**3 + 0*q**2 - 4*q + 4*q**2 - 5*q**2. Calculate the remainder when u(-3) is divided by 11. 9 Suppose -3*j = 5*i + j - 80, -5*i + 95 = j. Let z = -11 + 16. Suppose -z*p = -p - 148. What is the remainder when p is divided by i? 17 Let m(r) = 330*r**2 + 16*r + 17. What is the remainder when m(-1) is divided by 42? 37 Let n be (4/3 - 4)/(2/(-18)). What is the remainder when 102 is divided by 822/n + (-6)/(-8)? 32 Let k(y) = -y + 9. Let c = -4 + -11. What is the remainder when k(c) is divided by 14? 10 Let g(x) = -x. Let w(u) = 8*u - 16. Let o(m) = -2*g(m) - w(m). What is the remainder when o(-7) is divided by 15? 13 Suppose s - 2*s = 5, -4*g - 2*s = -30. Calculate the remainder when g is divided by 9. 1 Suppose 10*x + 4 = 84. What is the remainder when 342 is divided by x? 6 Suppose 7*n - 220 = -4*n. Calculate the remainder when 37 is divided by n. 17 Suppose 6*h - 91 = 221. What is the remainder when h is divided by 18? 16 Let v(g) = 4*g**2 + 8 - 5*g**2 - 4. Let j be v(0). Suppose 24 = j*x - 108. What is the remainder when x is divided by 7? 5 Let s = -191 + 209. Calculate the remainder when 231 is divided by s. 15 Calculate the remainder when 472 + (-140)/25 + 8/(-20) is divided by 26. 24 Let n(m) = -104*m + 171. Calculate the remainder when n(-2) is divided by 127. 125 Suppose 0 = 2*o + 3*o - 25. Suppose 133 = 4*b + o. Suppose 4*h + h = -2*u + 59, 2*h = 3*u + 16. Calculate the remainder when b is divided by h. 10 Suppose -5*s = -d - 172, 14*s - 15*s + 3*d + 40 = 0. What is the remainder when 189 is divided by s? 19 What is the remainder when 11775/135 + (-6)/27 is divided by 23? 18 Let t(a) = 2*a**2 - 49*a + 62. Calculate the remainder when 246 is divided by t(25). 72 Suppose 0 = -618*s + 631*s - 117. Let z(a) = -a**3 + 4*a**2 - 2*a. Calculate the remainder when s is divided by z(2). 1 Suppose -1 = 4*z + 7. Let l be (20/25)/(z/(-5)). Suppose -5*v + v = 4*y - 4, 5*v - 40 = l*y. What is the remainder when 16 is divided by v? 4 What is the remainder when 38 is divided by (3*(-4)/(-18))/((-5)/(-150))? 18 Suppose -4*z = -11 - 121. Suppose 40 = 5*a + j, a + 65*j - 27 = 61*j. What is the remainder when z is divided by a? 5 Suppose -2*t + 2*c - 247 = -671, 3*t = -c + 624. Calculate the remainder when t is divided by 37 + 4 + (0 - 6). 34 Let d(j) = -4*j**3 - 10 - 2*j**2 - 2*j + 3*j + 5*j**3 - 13*j**2. Let x = 20 - 6. Calculate the remainder when x is divided by d(15). 4 Suppose -3*l + 38 = -46. Suppose -l*t + 18 = -25*t. Calculate the remainder when 10 is divided by t. 4 Suppose -16 = 29*v - 31*v. Let c = -26 - -39. What is the remainder when c is divided by v? 5 Suppose 3*k = -2*l - l + 72, -l + 4 = 0. Let q(v) = -16*v**3 + 3 + 4*v + 4*v**2 - 6 - 14*v**2 + 17*v**3. What is the remainder when q(10) is divided by k? 17 Let f(x) be the first derivative of -5*x**2 + 1. Let v be f(-1). What is the remainder when 12/30 - (-416)/v is divided by 11? 9 Let m be (-2)/1 - (-4)/1. Suppose -8*g -
{ "pile_set_name": "DM Mathematics" }
value? (a) k (b) 0.3 (c) 0 b Let s be (1/3)/(4 - 3). Let k be (-77)/(-45) + -2 + 0. Let l = k + -2/45. Which is the third biggest value? (a) 1/9 (b) s (c) l c Let t = -1/2 + -2. What is the biggest value in -1, t, 4/3, 4? 4 Suppose -4*u - 4*q = -16, 3*u - 2*u - 3*q = 12. Let f be 4/3*u/20. Suppose 2*a + 8 + 0 = 0. What is the biggest value in 3, a, f? 3 Let x = -102.4 + 102. What is the fourth biggest value in -4, x, 5, -3? -4 Let x = 117 - 116.9. What is the second smallest value in -1, x, 0? 0 Let k = -0.3 + 0.6. Let v = 0.34 + -1.64. Let r = k + v. Which is the smallest value? (a) r (b) -0.4 (c) -4 c Suppose 2*y + 0*y - 10 = 0. Which is the second smallest value? (a) 0 (b) y (c) -3 a Let x(w) be the third derivative of -w**5/60 + w**4/3 - 13*w**3/6 - 3*w**2. Let y be x(7). What is the third smallest value in -4/7, y, -0.5? -0.5 Let d = 67/7 + -65/7. Let i = 0 - -1/3. Which is the smallest value? (a) i (b) d (c) -1/2 c Let l = 0.14 + -0.04. Let g = l - -0.1. What is the third smallest value in 0, g, -0.1? g Let o = -14 + 57/4. Let l = 2 + 3. Which is the second smallest value? (a) -3 (b) o (c) l b Suppose t = 2*t + 2. Let g be (222/(-33))/(7/t). Let v = -18/11 + g. Which is the second biggest value? (a) 2 (b) v (c) -3 b Let t be (-6*(-12)/(-18))/(-2). Let g = 403 + -6043/15. Which is the biggest value? (a) g (b) -2/7 (c) t c Let a be ((-2)/2)/(0 + -1). Let y = 0.048 - 5.048. Let u = 289/245 + 1/49. What is the second biggest value in y, u, a? a Let w = 74/5 - 15. Let d = -0.21 + 3.21. Which is the second biggest value? (a) d (b) w (c) -4/7 b Let v = 45 - 54. What is the second smallest value in v, -3, -2/7? -3 Let w = -2.7 - -1.7. What is the second biggest value in 4, w, 0.3? 0.3 Let k = -0.3 - -0.1. Let a = -4.886 - 0.114. Let n be 2/2 - (-1 - 0). What is the second smallest value in n, a, k? k Let y = -2 - 0. Let o = -7 - y. Which is the third biggest value? (a) -0.03 (b) o (c) 4 b Let a = -0.09 - -0.09. Let m = -4 - a. What is the second biggest value in -3, m, 3? -3 Let z be (3/66)/(1/4). Suppose -3*v = -2*w + 27, 85 = -0*w + 5*w - 4*v. Let y be (-4)/(-6) - 119/w. What is the third smallest value in z, -1, y? z Suppose 2*i - 4*i = -4. Let j = i - 7/3. Let t = -49.5 - -50. What is the second smallest value in t, j, -5? j Let i = -0.4 - 3.6. Which is the biggest value? (a) i (b) -2 (c) -0.1 (d) 4 d Let k = -40 - -77/2. Let g = -62 + 432/7. What is the smallest value in -1/4, g, k? k Let h = -1.5 - -1.7. What is the third biggest value in h, -1, 1/11? -1 Suppose -5*r + 4*v + 22 = -10*r, -3*v - 13 = 2*r. Let j be r/(-7) - (-111)/(-21). What is the second biggest value in j, -0.4, -3? -3 Suppose 13 + 7 = -4*b. Suppose 3*p = -36 + 81. Let q be 22/(-35) + 3/p. What is the second smallest value in q, b, -0.4? q Let o = -43.4 - -48. Let i = o - 4. Let u = i + 0.4. Which is the third smallest value? (a) u (b) -3 (c) 5 c Let s = 110 - 116. Which is the second smallest value? (a) 0 (b) s (c) 1 a Let b be (-8)/(-2)*4/(-20). Let m be (-20)/(-12) - (2 - 1). What is the smallest value in 2, b, m? b Let u = -3 - -3.4. Which is the third biggest value? (a) u (b) -1/6 (c) 0.1 b Let x = -4/213 + 1322/2343. Which is the second smallest value? (a) x (b) -2/3 (c) 0.4 c Let o = 2.2 - 6.2. Which is the third biggest value? (a) o (b) -2/3 (c) 4/9 a Let m = 0.26 + 0.04. Which is the smallest value? (a) -1/6 (b) m (c) 2/13 a Let z = 4 - 4. What is the second biggest value in 2/3, -2, z? z Let h(z) be the first derivative of -4*z**3/3 - 1. Let q be h(-1). What is the second biggest value in -1, 0.4, q? -1 Let v = 221 - 220.4. What is the biggest value in -3, 1, v? 1 Let i(f) be the first derivative of f**4/4 - 4*f**3/3 + 3*f**2/2 - 3*f + 4. Let m be i(3). Which is the second smallest value? (a) m (b) -1/3 (c) -1 c Let s = 0.43 - 0.03. Let c = 9 - 13. What is the third biggest value in s, -3, c? c Let r = -11 - -12. Let t = 2.3 + 2.1. Let n = 4 - t. Which is the biggest value? (a) r (b) n (c) 0.5 a Let c(s) = 4 + 0 - 3 - s**2. Let x be c(1). What is the second biggest value in 0.4, -5, x? x Let m(l) = -l**3 - 2*l**2 + 3*l - 2. Let k be m(-3). Let p = 11 + -15. Let y = p + 10. Which is the third smallest value? (a) 1 (b) k (c) y c Let i = -1.6 - -1.8. What is the second smallest value in 0.5, i, -1? i Let d = -0.1 + 0.2. Let y = d - 0.1. Suppose 3*v = 2*v - 1. Which is the smallest value? (a) -4 (b) v (c) y a Let d = -50 - -39. Which is the biggest value? (a) d (b) 2 (c) 5 c Let l = -5 + 7. Let z = -0.12 - 4.88. Let p = 3 + z. What is the second smallest value in -0.2, p, l? -0.2 Let f = -4 + 9. Which is the second smallest value? (a) 0.3 (b) 3 (c) f b Let v = 8 - 7.8. What is the fourth biggest value in -1, v, 1/2, -0.03? -1 Let m = -123264/11 + 11464. Let d = -258 + m. Which is the third biggest value? (a) d (b) -1/6 (c) -4 c Suppose 2*v = -s + 3*v + 7, 3*v - 3 = -5*s. Suppose -5*o - s = -6*o. Which is the third biggest value? (a) o (b) 1/7 (c) 0.2 b Let i = -50 + 50. What is the third biggest value in i, -1, 5? -1 Let r(u) = -u**2 + 9*u + 8. Let f be r(7). Let w be (-7)/f + 2/4. What is the second biggest value in 0, w, -1? 0 Let r be 18/10*28/12. Let j = 142/35 - r. Let g = 0.14 - 0.44. Which is the second smallest value? (a) g (b) j (c) -4/3 a Let g = 1 + 2. Suppose 0*i = -g*i + 3*d + 12, 2*i = 3*d + 4. Suppose -i + 0 = 4*w. What is the second smallest value in 3/5, 0, w? 0 Let i = 11 - 8. Suppose -12 = i*k - 0. Let m = 9 - 4. What is the third smallest value in 1, m, k? m Let z = -0.7 + 2.7. Which is the third biggest value? (a) -3 (b) -0.3 (c) z a Let i = -1 + 0.14. Let h = 0.8 + i. Let j = h + 0.36. Which is the third biggest value? (a) -0.4 (b) -1/4 (c) j a Let u = -45 - -24. What is the biggest value in -0.5, -0.4, 5, u? 5 Let q = 12 - 14. Let b = 0.02 - 0.42. What is the second smallest value in -1/6, q, b? b Let w = -2.4 + 2.7. What is the third smallest value in w, 0, 3/5? 3/5 Let f be 6/(-3)*(-10)/4. Which is the second biggest value? (a) f (b) 0.1 (c) 2 c Let u = 0.15 - 0.25. Which is the biggest value? (a) u (b) 3 (c) -3 b Let f = -6.372 + -0.028. Let u = 6 + f. Let q = 0.1 + 0.2. What is the third biggest value in 1, u, q? u Suppose 0 = -12*t + 2 + 22. What is the biggest value in t, -2, 0, 3? 3 Let s = -7 + 6.99. Let a = 0.31 + s. Let f = -6 + 3. What is the smallest value in a, -4, f? -4 Let r = -3.29 - -3.5. Let k = r + -0.01. What is the second biggest value in 0.4, k, 1/2? 0.4 Suppose -o + a - 3 = 0, 2*a - 6 = 4*o - 0. Let i = -3.09 - -0.09. What is the smallest value in o, i, 1/6? i Let l = -8 + 11. Suppose z + l*v - 26 = -2*v, 0 = -z - 2*v + 17. Let i be -2 + -2 + 42/z. What is the second smallest value in i, -1, 2? i Let i be 5 - ((-26)/3)/(-2). Let k = -2 - -1. Which is the third biggest value? (a) k (b) i (c) -0.3 a Suppose -4*k - 4*i + 4 = 0, -4*k - i + 1 = 3. Let o = -7 - -11. Let d = o - 4.4. Which is the third smallest value? (a) -2/13 (b) d (c) k a Let w = 109/176 + -7/16. Suppose 0 = -v + y, 4*v + 1 = 5*y - 2. Let t be -2 - -2 - v/12. What is the smallest value in t, w, -0.2? t Suppose -4*r - 30 = 2*s, -3*s = 4*r - 16 + 51. Which is the smallest value? (a) s (b) -0.4 (c) 1/6 a Let z be 8/(-98)*14/(-4). Suppose -2*n - 2 + 0 = 0. Let m be 25/10*n/(-10). What is the third smallest value in 2/3, m, z? 2/3 Let p be 1 - 0 - 6/9*-3. Which is the smallest value? (a) p (b) -5 (c) 2 (d) -1/4 b Suppose r - 30 = -32. What is the third biggest value in -5, 2/3, r, -0.4? r Let t be -2 + 3 + (-22)/(-2). Suppose 0 = 4*l + 1 - 9. Suppose -l*z + t = -5*j, -z + 0 = j + 1. What is the third smallest value in j, -5, -0.4? -0.4 Let q be 0 - (-4 + 3) - 0. Let o be 3*q + 138/(-42). Which is the second biggest value? (a) 4 (b) o (c) 3/5 c Let i = -131/108 + -1/27. Which is the second smallest value? (a) 4 (b) i (c) 7 a Suppose 12 = 2*u - 4*l, -u + 6*u - 5*l - 25 = 0. Let k = -0.13 + -0.37. Which is the smallest value? (a) k (b) u (c) 3 a Let k = 0.14 + -1.14. Let p = 0.02 + 0.08. Which is the smallest value? (a) 0.3 (b) p (c) k c Let g = -14 + 15. Let d = -0.6 + g. Which is the third biggest value? (a) -0.1 (b) 4/3 (c) d a Let h = -10 -
{ "pile_set_name": "DM Mathematics" }
mmon multiple of 12 and m? 12 Let o(d) = 3*d - 1. Suppose 0 = -3*u - 3*x, -3*x = -3*u + 3 + 15. Calculate the smallest common multiple of o(3) and u. 24 Let n(r) = r + 9. Let k be n(-5). Let a be k/10 + 356/10. Suppose -4*j = -0*j - a. What is the lowest common multiple of j and 5? 45 Let z be 68/60 + (-2)/15. Find the common denominator of (z/5)/(2/(-36)) and 10/3. 15 Let t(p) = -10*p. Let i(l) = -l + 11. Let q be i(8). Suppose -3*z - 5*a - q = 0, -3*z - 3 = 2*a - a. What is the lowest common multiple of t(z) and 11? 110 Let c be 103160/(-15) + 4/(-6). Let q = c + 137519/20. Find the common denominator of q and -125/6. 60 Let n = -193201/12 - -16110. What is the common denominator of n and (1 - (-54)/(-60))*13/2? 60 Let v be -3 + 3/((-9)/33). Let j = v + 10. Calculate the common denominator of -17/20 and (j/20)/(6/745). 60 Calculate the common denominator of 109/10 and (-459)/12*8/84. 70 Let k(j) = j**2 + 5*j + 1. Let a(q) = -q**2 - 4*q - 1. Let r(d) = -3*a(d) - 4*k(d). What is the least common multiple of 7 and r(-7)? 42 Let d be (-18)/(-2 + (-44)/(-16)). What is the least common multiple of 8 and (-16)/(-3) - d/(-18)? 8 Suppose 0 = 4*g - 21 - 7. What is the lowest common multiple of g and 4? 28 Find the common denominator of 109/30 and (-1908)/1782 - 4/(-22). 90 Let i be 1 + 20 + -4 + 7. Suppose 4*a = -i + 64. Calculate the least common multiple of a and 18. 90 Let b = 493 + -893/2. Let m be (-122)/5 - (-2)/1. Let c = -1251/40 - m. Calculate the common denominator of b and c. 8 Suppose 2*i = 7*i - 65. Suppose i + 8 = 3*r. What is the smallest common multiple of r and (-1 - 2/(-8))*-12? 63 Let c = 1353/104 + -200/13. Calculate the common denominator of -32/7 and c. 56 Let o = 12 + 2. Calculate the lowest common multiple of o and 10. 70 Suppose -4*j - j - 2*h + 108 = 0, -5*j = h - 104. Suppose -j = -n - 4*n. Calculate the lowest common multiple of n and (-6)/(-4) - (-13)/26. 4 Suppose 0 = 2*f - 12*f + 60. What is the smallest common multiple of 18 and f? 18 Suppose -4*v - 5*p + 95 = 0, 0 = -5*v - 2*p - 49 + 155. Calculate the lowest common multiple of v and 4. 20 Let m(q) = q - 3. Let f be m(7). Suppose -4*j = -f*h - 4, -h + j = -2*h - 9. Find the common denominator of -49 and (2/h)/((-36)/2055). 6 Let u = 77 - 53. Calculate the least common multiple of 40 and u. 120 Let t = 16 - 13. What is the smallest common multiple of t and 10? 30 Let j(o) = o**2 - 3*o + 8. Let d be j(-6). Let c = -1308/11 + 2699/22. Find the common denominator of (-8)/(-4) - d/(-8) and c. 44 What is the common denominator of 41/2 and (2/40)/((-504)/(-2220))? 168 Suppose -2*y - 1 = -3. Suppose 1 + 3 = s. Let x = s - 3. What is the lowest common multiple of y and x? 1 Suppose 20 = 3*h + s, -4*h + 5*h = -s + 4. What is the smallest common multiple of h and 9? 72 Suppose d = 5*r + 26, -5*d - 3*r - 12 = -2*d. Calculate the common denominator of (-3145)/630 - ((-18)/(-14) + -1) and ((-3)/40)/(d/(-54)). 180 Find the common denominator of -2 - -1 - (-774)/792 and 113/14. 308 Let z = -1168/25 + 236/5. Calculate the common denominator of 62/55 and z. 275 Suppose a - 6*a = -2*o + 68, -3*a + 108 = 5*o. What is the lowest common multiple of o and 9? 72 Let k(j) = -j**3 + 3*j**2 + 2*j - 4. What is the least common multiple of k(3) and ((-10)/(-3))/(0 + 20/72)? 12 Let p = -451/24 - 170449/120. Let w = p + 1444. Calculate the common denominator of 17/3 and w. 15 Suppose 4 + 2 = -d. Find the common denominator of (-4)/d - 327/(-18) and 109/18. 18 Let o = 1739/6 - 284. Let h be (5 + -3 - 753)*-1. Let z = -12001/16 + h. Find the common denominator of z and o. 48 Suppose 3*j - 4*j - 9 = 0. Let o = 19 + j. Calculate the lowest common multiple of o and 15. 30 Let p = 59/4 + 91/4. Let j = 2 - 11. Find the common denominator of (97/3)/(42/j) and p. 14 Let t(f) = f**2 - 6*f - 2. Let v be t(6). Let g = 2085/14 - 150. What is the common denominator of 130/(-12) + 2 - v and g? 42 Find the common denominator of -29/40 and (1016/20 - 1)*5/45. 120 Let b = -16349/6 + 2734. What is the common denominator of -83/54 and b? 54 Let j(l) = -l**3 - 2*l**2 - 2*l + 3. Calculate the least common multiple of j(-3) and 2. 18 Let h = 181/2 + -120. What is the common denominator of h and -109/10? 10 Let y = -2 + -22. What is the lowest common multiple of (y/(-5) - 4)*15 and 20? 60 Calculate the common denominator of 5/16 and 106/(-16) + 3 + (-39)/12. 16 Let l(g) = 45*g. Let c be l(-6). Suppose 3*w + 3 = 12. What is the smallest common multiple of c/(-63) + 4/(-14) and w? 12 Let b be 2/(-5) + 27/5. Suppose 11 + b = 2*j. Calculate the common denominator of 85/12 and (-236)/6*(-6)/j. 12 Let j = -96 + 103. Calculate the lowest common multiple of 11 and j. 77 Let i(c) = c**3 + 8*c**2 + 8. Let p be i(-8). Suppose l - 14 = p. Calculate the lowest common multiple of (2 + (1 - 4))*-8 and l. 88 Suppose -5*s = -r + 9, 3*s - 5 + 20 = 3*r. Let q = s - -1. Suppose 3*h = 4*h + 4*m - 14, q = -3*h + 5*m + 8. What is the least common multiple of 8 and h? 24 Let j(q) = -q**3 + 5*q**2 + 8*q - 2. Calculate the smallest common multiple of 5 and j(6). 10 Suppose -4*r = -12*r + 72. Calculate the smallest common multiple of 6 and r. 18 Let i = -3 + 7. Let s(g) = -g - 1. Calculate the smallest common multiple of i/(-4) - (-1 + -1) and s(-5). 4 Let s be (-3 - -4) + 298/12. Let h = s - 229/6. Calculate the common denominator of h and -23/10. 30 Let v(r) = -r + 2. Let f(g) = g - 1. Let z(s) = -2*s - 4. Let h(c) = f(c) + z(c). What is the least common multiple of v(-6) and h(-9)? 8 Let h(d) = d**3 + 7*d**2 + 6*d + 8. Calculate the lowest common multiple of h(-6) and 6. 24 Let t = -1361 - -6772/5. Let m be (-2)/(-14)*(-4 + 3023). Let j = m - 436. Calculate the common denominator of j and t. 35 Let q = -8359/5 + 1678. Calculate the common denominator of q and 35/2. 10 Let z = -905881/4 + 225272. Let y = z - -1173. Calculate the common denominator of y and 79/12. 12 Let d(q) = q**2 - 8*q + 6. Let t be d(6). What is the least common multiple of 14 and (32/6)/((-2)/t)? 112 Let y(l) be the second derivative of 0 + l**2 + 2*l - 1/6*l**3. Calculate the lowest common multiple of y(-5) and 5. 35 Find the common denominator of 3 - 6 - (-6 - 0) - -2 and 62/5. 5 Suppose -5*s - 8 - 42 = 0. What is the common denominator of 6*(0 + s/(-3)) and 2/6 + 67/33? 11 Calculate the common denominator of (29/(-6))/(3/(-15)) and -57/5. 30 Let d(a) = 1 + 0 - 1 + a + 1. Calculate the smallest common multiple of 1 and d(0). 1 Let r(n) = -n**3 + 5*n**2 - n - 1. Let y be r(2). What is the least common multiple of 168/y + 4/(-6) and 0 - (-9 - 0 - 1)? 90 Suppose -5*b - 22 = -112. Suppose 2*t - 4 = b. What is the least common multiple of 11 and t? 11 Calculate the common denominator of (70/15 - 4)/((-2)/60) and -31/6. 6 What is the common denominator of 3 + 2/56*23 and 17/36? 252 Let r = -9767 - -126848/13. Let d = -365/26 + r. Let x = 9805/8 - 1224. Calculate the common denominator of d and x. 8 Calculate the smallest common multiple of 1048/88 + (-3)/(-33) and 526. 3156 What is the common denominator of -28/5 and 6/3 + 62/(-4)? 10 Let y = -12101/4 - -3044. Let d = -9463717 + 94750897/10. Let h = 11383 - d. What is the common denominator of y and h? 20 Let q = 20 - 14. Calculate the common denominator of -71/6 and (-574)/90 + q/(-15). 18 Suppose 4*a = -3*k - 7, -4*a + 4*k - 5 + 33 = 0. Suppose 5*f - a*f = 18. Calculate the smallest common multiple of 8 - (2/1 + -3) and f. 18 Let y = -202148/567 - -134176562/567. Let d = y + -235237. Let x = d + -1045. What is the common denominator of x and 47/5? 45 Suppose 3 - 8 = -j, -5*t + 3*j = 25. Let w = t - -18. Calculate the least common multiple of w and 6. 48 What is the lowest common multiple of 1 + -5 - (-10)/1 and 9? 18 Calculate the least common multiple of 10 and (10 - 7) + (2 - 1). 20 Let b = 49 - 19. Calculate the common denominator of b and -8/5. 5 Let a = 2441/8 - 12689/40. Let q be (-9)/(-24)*(-10)/6. Let w = q + 7/8. What is the common denominator of a and w? 20 Suppose -4*o = -5*o + 3. Let n(u) = u**3 + 9*u**2 + 6*u - 6. What is the smallest common multiple of n(-8) and o? 30 Let m(y) be the third derivative of y**6/120 + 7*y**5/60 + 5*y**3/6 - 2*y**2. What is the least common multiple of m(-7) and 6? 30 Let c be (-29
{ "pile_set_name": "DM Mathematics" }
.1? (a) 3/5 (b) -3.5 (c) -4 (d) -1 a What is the closest to -1 in -1/4, 148, -0.3, -0.1? -0.3 Which is the nearest to -5? (a) -1/10 (b) 0.5 (c) -3 (d) 4 c What is the nearest to 1 in 3/11, -2, -2/17, 3? 3/11 Which is the nearest to -2/5? (a) -1 (b) 5 (c) -5 (d) -31 a What is the closest to -0.1 in 3, -11, -0.85? -0.85 Which is the closest to -0.023? (a) -2 (b) 5 (c) -2/11 c Which is the nearest to 1? (a) 2/9 (b) -5 (c) 0.517 c What is the closest to 17 in 1, 11, 1.8? 11 What is the closest to -2 in 2, -2.15, -0.1, -1? -2.15 Which is the closest to 0.13? (a) 0.4 (b) -4 (c) -86 a What is the nearest to 4 in -3, -2, -1, 0.5? 0.5 Which is the closest to 25/3? (a) -1/4 (b) 4 (c) 2 b What is the nearest to 3 in -2/9, 5/3, 2? 2 What is the nearest to 0 in 29, 0, -4, -0.3? 0 What is the nearest to -1 in 0.2, -8.36, -3, 0.03? 0.03 What is the closest to 2 in -2/7, -2/9, 1/2, 3? 3 What is the nearest to -2/31 in -3/5, 1/9, -7? 1/9 Which is the nearest to 2? (a) -1 (b) -0.6 (c) -133 (d) 2 d What is the nearest to 0 in 11, 0, 0.2, 0.3? 0 What is the nearest to 0 in -5, 4, 0.01? 0.01 Which is the nearest to 0.1? (a) 4 (b) 3/125 (c) 0.3 (d) 1 b Which is the nearest to -3? (a) -3 (b) 3 (c) 1.9 a What is the nearest to -0.2 in -4, 3, 1, 47? 1 What is the nearest to 1 in 3, -4, 0.05, 0.039? 0.05 What is the closest to 0.1 in -6.5, 42, -0.4? -0.4 Which is the closest to -1/4? (a) 24/233 (b) -1/4 (c) 4 b What is the nearest to -1/7 in -1/6, -3, 0.1, -2/13? -2/13 Which is the closest to 3/11? (a) -2/5 (b) 0.5 (c) 10 (d) -1/5 b Which is the nearest to 1/3? (a) 0 (b) 3 (c) 0.5 (d) -0.037 c What is the closest to -9 in 4/7, -2.1, -1/6? -2.1 What is the closest to -0.2 in 2, 0.5, 4, 0? 0 What is the nearest to 2/5 in -0.3, -5, -1, 7? -0.3 What is the nearest to -1 in -2/3, -1, -0.0412, 2/17? -1 What is the nearest to -159/5 in -1/2, 0, -5, 0.07? -5 Which is the closest to 0? (a) 4/7 (b) 4 (c) 8/5 (d) 0 d Which is the closest to -4/3? (a) 75 (b) -0.3 (c) 2 (d) 1/9 b What is the closest to -3/5 in 1, -3/8, -4, -2? -3/8 What is the closest to -3 in -0.4, -5, -10, 3? -5 Which is the closest to 0.03? (a) -2/9 (b) -0.1 (c) -0.4 (d) 2 b Which is the closest to 2/31? (a) 2 (b) 2/5 (c) 0 (d) -4 c Which is the nearest to 0? (a) 0.2 (b) 1/6 (c) 4 (d) 0.61 b Which is the nearest to 3? (a) -1/4 (b) -0.2 (c) 10 (d) 1 d Which is the nearest to -0.1? (a) -12 (b) 1 (c) -0.06 c Which is the closest to 3/5? (a) -0.5 (b) -2/11 (c) 3/5 (d) -2.7 c What is the nearest to -0.1 in -4, 524/5, -5, -3? -3 Which is the nearest to -1? (a) 0.4 (b) -6 (c) -9 (d) 3 a What is the closest to -2/5 in 0.5, 0.7, 117? 0.5 Which is the closest to 106? (a) 0 (b) -13/4 (c) 2/9 c Which is the closest to 5? (a) -3 (b) 1/3 (c) -2 (d) 0.5 d Which is the nearest to 2/3? (a) 0 (b) 1.7 (c) -5 a What is the closest to -0.3 in 7.6, 2/3, -2? 2/3 Which is the closest to -1? (a) -2/19 (b) 2 (c) -2 a Which is the closest to 0? (a) -0.2 (b) 4 (c) -0.7 (d) 3/5 a Which is the closest to -1/2? (a) 3/2 (b) -0.5 (c) 5 (d) -0.01 b What is the closest to 2/5 in 26, -0.93, -4? -0.93 What is the closest to 0 in -13, 4, -1.12? -1.12 What is the nearest to 1 in -2/13, -2/5, -2, 120? -2/13 What is the closest to 1/3 in -2, 5, -3? -2 Which is the closest to 5? (a) -0.5 (b) -4 (c) -1 (d) 3/4 d Which is the closest to 11/7? (a) -0.1 (b) -3 (c) -2/11 (d) 2 d Which is the nearest to 45? (a) -1/4 (b) 0 (c) -0.2 b What is the nearest to 1 in 1, -5, -0.06, -12? 1 What is the nearest to 1/2 in -2, 0.4, 1, -4? 0.4 What is the closest to -31 in -2/13, -4, -1, 1? -4 What is the closest to 0 in -71, 0.2, -3? 0.2 What is the nearest to 113 in 6/11, -0.3, -2/7, 3? 3 Which is the closest to 3/10? (a) -2/3 (b) 5 (c) 0.5 c Which is the nearest to 27/5? (a) -2/3 (b) -2 (c) -4/3 (d) 2 d Which is the closest to 0? (a) -1/3 (b) -1/4 (c) 5 (d) 3.1 b Which is the nearest to 2? (a) 1/46 (b) -3 (c) 0 a What is the nearest to 22 in 0.4, -2/7, -0.5, -5? 0.4 Which is the closest to 0? (a) -0.1 (b) -4.4 (c) 0.5 a What is the nearest to -1/4 in -0.8, 3/7, 2, 0? 0 Which is the nearest to 1? (a) -1/6 (b) -0.5 (c) -3 a Which is the closest to 1? (a) -5 (b) 0.08 (c) -497 b Which is the nearest to 16/5? (a) -0.36 (b) 0 (c) 4 c What is the nearest to -3 in -4/3, -21, 5? -4/3 What is the closest to -1 in -0.1, 478, -3? -0.1 Which is the nearest to 2? (a) -5 (b) 4 (c) -20 b Which is the nearest to -2? (a) 0.2 (b) -0.07 (c) 2/3 b What is the nearest to -0.1 in 3, 0, 4? 0 Which is the closest to -3? (a) -2/11 (b) 1/5 (c) 49 a Which is the nearest to -7? (a) 3/7 (b) -0.7 (c) -2/9 (d) -0.4 b What is the closest to 2/7 in 1/15, -4, 4, 3? 1/15 Which is the nearest to -0.1? (a) -5 (b) -3/5 (c) -2/15 (d) -6 c What is the nearest to -24 in 3, 0.1, -3/17, -5? -5 Which is the closest to 2/11? (a) -1 (b) 2/3 (c) 32 b What is the nearest to 1/8 in 1/14, 2, 1/9? 1/9 What is the closest to 0.06 in -1/2, -1, 2/835? 2/835 Which is the nearest to -1? (a) -11 (b) -2 (c) 51 (d) -3 b Which is the nearest to 0.1? (a) 1/10 (b) 8 (c) -2/15 (d) 3/2 a Which is the closest to -0.1? (a) 4 (b) -0.5 (c) 337 b What is the nearest to -1/4 in -1875, -1/3, -0.4? -1/3 What is the nearest to 13 in -3, 13, -0.5, 0.4? 13 Which is the nearest to 2? (a) 0.0835 (b) -1/3 (c) -5 (d) -3 a What is the nearest to -1.4 in -0.3, -0.4, -2/13, 8? -0.4 Which is the closest to 0? (a) 3 (b) 207 (c) 1/7 (d) -2 c Which is the closest to 0.1? (a) -0.4 (b) -32 (c) 0.4 c Which is the closest to -0.09? (a) -27 (b) -0.2 (c) 3 b What is the closest to -3 in -3/7, -2/9, 13/6, 2/5? -3/7 What is the nearest to 3 in 7, 4, -2, 1? 4 What is the nearest to 0 in 24, 3, -7? 3 What is the nearest to -2/23 in -0.2, -2/7, 2/39? -0.2 Which is the nearest to 0.1? (a) -1 (b) 4 (c) -3 (d) 5 a Which is the closest to 5? (a) -0.4 (b) 0.3 (c) 0.5 (d) 0.2 c What is the closest to -0.1 in -1/5, 56, -0.4, -2/11? -2/11 What is the nearest to 810 in 1, 5, 1/6? 5 What is the closest to -5/149 in 2/23, -4, -2/9, 0? 0 What is the closest to 1 in -25/6, 1/3, 4, 0.5? 0.5 Which is the closest to -1/4? (a) -4 (b) 3 (c) 0 (d) 0.16 c What is the nearest to 0.1 in 1/45, 1/4, 0, -5? 1/45 What is the nearest to 1/8 in 0.5, -0.5, 0.14? 0.14 What is the closest to -3 in 1, 0.4, 29, -1? -1 What is the nearest to 0.2 in -6, -9, 1, -3/4? 1 Which is the closest to 5? (a) -0.9 (b) 0.3 (c) -42 b What is the closest to 11 in 4, -9, -5? 4 What is the nearest to 4 in -1, -13, 0.3? 0.3 What is the closest to 1/4 in -67, -2, -3/5? -3/5 What is the closest to 0.1 in 0.5, -0.5, 1/5, -0.79? 1/5 What is the nearest to -65/4 in -5, -8, -2/9? -8 What is the closest to 0 in 1, 0.2, -0.6? 0.2 Which is the closest to 0.1? (a) 0 (b) -0.5 (c) 2/33 (d) 3 c Which is the nearest to -1? (a) -0.2 (b) -19 (c) -5 a What is the closest to -0.2 in 0.4, -1/6, 3, -2/7? -1/6 What is the nearest to 2 in -0.5, -3/5, -2/5, 1? 1 Which is the closest to 0.3? (a) 18 (b) 2/9 (c) 1/9 (d) -1 b What is the nearest to 8 in -1/4, -3, 0? 0 Which is the nearest to -0.62? (a) 5 (b) 3.5 (c) -0.4 c What is the nearest to 0.06 in 0.2, -4, -3/5, -0.1? 0.2 Which is the closest to -2/7? (a) 1 (b) 0.1 (c) -0.1 (d) 436 c What is the nearest to -1 in -0.4, 0, 8, 5? -0.4 What is the nearest to 1/4 in -0.2, 19, -1/2? -0.2 What is the closest to -0.82 in 0.2, 3, 6? 0.2 What is the nearest to -1 in 0.3, 4, 3, -1? -1 What is the closest to 1 in -2, -3/7, 0.05, 0.5? 0.5 Which is the closest to 2/7? (a) 0 (b) -5/4 (c) -13 a What is the nearest to 80 in -0.2, 4, -0.4, -16? 4 What is the closest to -1/7 in 2/25, 1.1, 1/6? 2/25 What is the closest to -4 in 3, -1, 45, 2/9? -1 Which is the nearest to -1? (a) 2 (b) 6/5 (c) -37 b What is the nearest to -1 in 0.3, -0.6, -2, -0.2? -0.6 What is the nearest to 2/3 in -4, 0.6, -42, 1? 0.6 What is the nearest to 39 in -0.1, 2/11, 0? 2/11 Which is the closest to 0? (a) -3 (b) 127 (c) -5 (d) 0 d What is the closest to -1/9 in 2, 0.25, -1/14? -1/14 What is the nearest to -0.2 in 8.9, 0.3, -3? 0.3 What is the nearest to -2/7 in -1, 0.49, 0.3? 0.3 Which is the closest to -
{ "pile_set_name": "DM Mathematics" }
e oo when two letters picked without replacement from {o: 2, b: 4}? 1/15 Two letters picked without replacement from rrrrr. What is prob of sequence rr? 1 Four letters picked without replacement from {z: 2, t: 2, j: 1, l: 1, h: 1}. Give prob of sequence tlzt. 1/210 Three letters picked without replacement from {c: 1, e: 3, k: 5}. Give prob of sequence kce. 5/168 Four letters picked without replacement from {a: 3, h: 2, m: 1, v: 1, z: 2, y: 3}. Give prob of sequence amyy. 1/660 Calculate prob of sequence lz when two letters picked without replacement from aadzaazddzzllza. 1/21 Calculate prob of sequence eeuf when four letters picked without replacement from {u: 6, r: 1, w: 4, f: 5, e: 3, k: 1}. 1/646 Calculate prob of sequence brrb when four letters picked without replacement from {g: 2, u: 4, b: 7, r: 5}. 7/612 Calculate prob of sequence yyrv when four letters picked without replacement from {r: 2, x: 1, y: 2, v: 1, j: 2, f: 1}. 1/756 Calculate prob of sequence nppz when four letters picked without replacement from {n: 3, z: 3, p: 6, k: 3}. 3/364 What is prob of sequence zgg when three letters picked without replacement from zgggzgzggggg? 9/55 Calculate prob of sequence el when two letters picked without replacement from {d: 2, l: 4, t: 1, e: 1}. 1/14 What is prob of sequence vvvf when four letters picked without replacement from vvfvf? 1/10 Calculate prob of sequence gyr when three letters picked without replacement from {g: 2, i: 1, s: 3, y: 4, r: 1, f: 4}. 4/1365 Calculate prob of sequence dhhd when four letters picked without replacement from {h: 3, d: 9}. 2/55 Two letters picked without replacement from {g: 1, o: 1, w: 2, c: 2, m: 2}. What is prob of sequence mg? 1/28 What is prob of sequence gaqq when four letters picked without replacement from czazzcqcgzcacczqczaa? 1/14535 Two letters picked without replacement from qjggajgg. Give prob of sequence qj. 1/28 Four letters picked without replacement from {y: 3, a: 3, n: 5}. What is prob of sequence nyny? 1/66 Calculate prob of sequence zc when two letters picked without replacement from {c: 3, z: 11, b: 1}. 11/70 Four letters picked without replacement from {l: 16, p: 2}. Give prob of sequence ppll. 1/153 Four letters picked without replacement from anrgnnjununjgnjruj. Give prob of sequence jagn. 1/1530 Two letters picked without replacement from {h: 1, t: 1, e: 1, q: 3, g: 6}. Give prob of sequence te. 1/132 Three letters picked without replacement from {w: 4, g: 2, o: 2}. What is prob of sequence oww? 1/14 Four letters picked without replacement from {a: 4, o: 4, x: 2, s: 1, f: 3}. What is prob of sequence ofxo? 3/1001 Calculate prob of sequence aaau when four letters picked without replacement from axuxuuxoqqoaaxuuaqx. 5/3876 What is prob of sequence wz when two letters picked without replacement from {q: 1, w: 4, z: 9}? 18/91 Calculate prob of sequence om when two letters picked without replacement from {j: 6, m: 1, s: 3, v: 4, o: 2}. 1/120 Four letters picked without replacement from ggqbqggq. Give prob of sequence ggqq. 3/70 Three letters picked without replacement from {k: 4, d: 9, w: 3}. Give prob of sequence kkw. 3/280 What is prob of sequence gbb when three letters picked without replacement from gggcbgbgbcc? 1/33 Calculate prob of sequence uie when three letters picked without replacement from {i: 2, e: 2, u: 1}. 1/15 What is prob of sequence ppr when three letters picked without replacement from {p: 5, r: 15}? 5/114 What is prob of sequence xncn when four letters picked without replacement from {s: 1, n: 2, x: 3, t: 1, c: 5, z: 1}? 1/572 Four letters picked without replacement from {m: 7, n: 6}. Give prob of sequence nnmm. 21/286 Two letters picked without replacement from {r: 6, c: 3, d: 2, h: 5, k: 1}. Give prob of sequence kc. 3/272 Three letters picked without replacement from rumrmrvrrmy. What is prob of sequence rmr? 2/33 Two letters picked without replacement from bbbxx. Give prob of sequence bb. 3/10 Three letters picked without replacement from {a: 1, u: 7, k: 4, m: 1}. What is prob of sequence amu? 7/1716 What is prob of sequence vkgn when four letters picked without replacement from {g: 4, e: 6, n: 1, v: 3, k: 2}? 1/1820 Calculate prob of sequence ooo when three letters picked without replacement from mododdododo. 2/33 What is prob of sequence qyjk when four letters picked without replacement from {c: 1, j: 1, k: 1, y: 1, q: 1}? 1/120 Three letters picked without replacement from vjgvyjjggjjjgjjs. What is prob of sequence gyj? 1/105 Three letters picked without replacement from {i: 3, v: 9}. Give prob of sequence vvv. 21/55 Four letters picked without replacement from {g: 2, c: 1, q: 2, r: 11}. Give prob of sequence gqrc. 11/10920 What is prob of sequence vo when two letters picked without replacement from {o: 3, v: 3, g: 1, q: 5}? 3/44 Two letters picked without replacement from vxxgvvvggvvtgv. What is prob of sequence gx? 4/91 Calculate prob of sequence xcc when three letters picked without replacement from cwxccwwww. 1/84 What is prob of sequence wavb when four letters picked without replacement from rrvrwrabr? 1/3024 Four letters picked without replacement from {h: 1, k: 7, l: 1, w: 1, c: 10}. What is prob of sequence cwkk? 7/1938 What is prob of sequence ubi when three letters picked without replacement from auaabaiauaaai? 1/429 Calculate prob of sequence uf when two letters picked without replacement from sususususnuuunsnsufn. 2/95 What is prob of sequence gwoo when four letters picked without replacement from {t: 4, o: 3, y: 2, g: 4, d: 4, w: 3}? 1/1615 What is prob of sequence apaa when four letters picked without replacement from {r: 9, p: 2, a: 6, l: 2}? 5/1938 Calculate prob of sequence oool when four letters picked without replacement from ddodldoddallolo. 4/1365 Four letters picked without replacement from uuuupplllflppf. Give prob of sequence fppp. 2/1001 Calculate prob of sequence swts when four letters picked without replacement from {s: 3, t: 1, w: 4}. 1/70 Calculate prob of sequence xu when two letters picked without replacement from ramux. 1/20 Three letters picked without replacement from jjjjuuvvvvujjjgugvu. Give prob of sequence jgj. 14/969 Calculate prob of sequence eee when three letters picked without replacement from eeooeeeeeoeeeoeeoeee. 91/228 What is prob of sequence de when two letters picked without replacement from {d: 1, c: 1, e: 4, k: 1, u: 3, t: 2}? 1/33 Four letters picked without replacement from lxlxllxl. Give prob of sequence xlxl. 1/14 Calculate prob of sequence yyl when three letters picked without replacement from yyyllyl. 6/35 Three letters picked without replacement from mykzdmytz. Give prob of sequence ztm. 1/126 Calculate prob of sequence gng when three letters picked without replacement from {p: 1, b: 1, g: 1, n: 1, c: 1}. 0 Calculate prob of sequence qdq when three letters picked without replacement from {d: 9, a: 5, l: 2, q: 2}. 1/272 What is prob of sequence qq when two letters picked without replacement from qyqqppyq? 3/14 What is prob of sequence mm when two letters picked without replacement from mmmmm? 1 Calculate prob of sequence crco when four letters picked without replacement from oroacrccaoo. 1/165 Calculate prob of sequence dmdd when four letters picked without replacement from {m: 7, b: 3, d: 5, r: 1}. 1/104 Two letters picked without replacement from ntgtntgtgtgtgtt. Give prob of sequence ng. 1/21 Two letters picked without replacement from jyyt. What is prob of sequence ty? 1/6 Three letters picked without replacement from zzfizziziiiqvqfz. What is prob of sequence qfi? 1/168 Three letters picked without replacement from iiiciiici. Give prob of sequence cic. 1/36 Three letters picked without replacement from {b: 1, a: 1, g: 2, m: 1}. What is prob of sequence mba? 1/60 Calculate prob of sequence mmm when three letters picked without replacement from miimiimmmiimiimi. 1/16 Calculate prob of sequence jgk when three letters picked without replacement from fgijkijlf. 1/252 What is prob of sequence wjxw when four letters picked without replacement from jggjgjwwgjwjxwjwwj? 7/2448 What is prob of sequence wq when two letters picked without replacement from {q: 1, w: 11}? 1/12 What is prob of sequence fse whe
{ "pile_set_name": "DM Mathematics" }
+ 4/7*v + 6/7*v**2 = 0. -1 Let m(h) = h**3 - 2*h**2 + 2*h + 1. Let p be m(2). Let x(k) be the second derivative of 1/6*k**4 + 0 + 0*k**3 + 1/15*k**6 + 1/5*k**p + 0*k**2 - k. Factor x(r). 2*r**2*(r + 1)**2 Let i(r) be the first derivative of -3/2*r + 6 + 7/4*r**2 - 2/3*r**3. Factor i(a). -(a - 1)*(4*a - 3)/2 Let v(n) be the third derivative of n**9/100800 + n**5/20 - n**2. Let w(z) be the third derivative of v(z). Determine p so that w(p) = 0. 0 Let d be (-80)/15*4/(-84). Let i = d - -2/63. Solve 0 - 2/7*f + 2/7*f**3 + i*f**4 - 2/7*f**2 = 0 for f. -1, 0, 1 Factor -11*s - 3*s + s - 6 - 4*s**2 + 3*s**3. (s - 3)*(s + 1)*(3*s + 2) Let m(a) be the third derivative of -1/300*a**6 + 0*a**4 + a**2 + 0 + 0*a - 1/75*a**5 + 0*a**3. Let m(x) = 0. Calculate x. -2, 0 Suppose 13*x - 17*x = -8. Let w(d) be the first derivative of 3/4*d**x - 5/4*d**3 + 0*d + 3 - 21/16*d**4. Solve w(a) = 0 for a. -1, 0, 2/7 Let l(x) be the second derivative of -x - 1/10*x**6 + 0 - 1/4*x**4 + 3/10*x**5 + 0*x**3 + 0*x**2. Factor l(b). -3*b**2*(b - 1)**2 Factor 2 - 9/2*x + x**2. (x - 4)*(2*x - 1)/2 Let i(o) be the first derivative of o**3 - 3*o**2/2 + 7. Determine v so that i(v) = 0. 0, 1 Let y(b) be the first derivative of b**4/4 + b**3/3 - 5*b**2/2 + 3*b + 3. Determine m so that y(m) = 0. -3, 1 Let q be -8 + 6 + (-88)/(-42). Let j(u) be the first derivative of q*u**3 + 2 - 1/7*u**2 - 4/7*u. Factor j(r). 2*(r - 2)*(r + 1)/7 Let b(g) be the third derivative of g**5/20 + 3*g**4/8 + 4*g**2. Factor b(s). 3*s*(s + 3) Let h(c) = -c**2 + 1. Let m be 1/(-3) - 4/6. Let b(g) be the second derivative of 5*g**4/4 - 2*g**3 - 15*g**2 - 4*g. Let i(f) = m*b(f) - 18*h(f). Factor i(y). 3*(y + 2)**2 Let v(l) = l**4 + 17*l**3 - 12*l**2 + 9*l. Let k(r) = 8*r**3 - 6*r**2 + 4*r. Let f be (-8)/10*30/(-12). Let p(x) = f*v(x) - 5*k(x). Factor p(h). 2*h*(h - 1)**3 Let b(h) be the first derivative of 0*h**2 + 2 + 1/16*h**6 + 0*h + 0*h**4 - 1/2*h**3 + 9/40*h**5. Factor b(z). 3*z**2*(z - 1)*(z + 2)**2/8 Let j(m) = m**2 - 10*m. Let s be j(10). Let a(f) be the first derivative of 1/8*f**4 + 1/4*f - 1/20*f**5 - 3 + s*f**3 - 1/4*f**2. Suppose a(v) = 0. Calculate v. -1, 1 Suppose 12 = 4*y, -3*y + 5 + 0 = -2*t. Find p such that 8*p**3 - 6 - 3*p**3 + 3*p + 15*p**2 - 6*p**3 - t*p**3 - 9*p**4 = 0. -1, 2/3, 1 Let o(d) be the first derivative of 4913*d**4/12 - 578*d**3/3 + 34*d**2 - 8*d/3 - 4. Let o(q) = 0. Calculate q. 2/17 Determine l, given that 21/5*l**3 - 18/5*l**5 - 3/5*l**4 + 3/5*l**2 + 0 - 3/5*l = 0. -1, -1/2, 0, 1/3, 1 Let w(r) be the first derivative of 2*r**3/21 + r**2/7 + 9. Factor w(g). 2*g*(g + 1)/7 Let w(z) = 6*z**2 + 3*z**2 - 5*z**4 - 2*z + 3*z + 0 - 3. Let o(f) = f**4 - f**2 + f + 1. Let b(i) = 3*o(i) + w(i). Factor b(l). -2*l*(l - 2)*(l + 1)**2 Let s be (-2)/9 - (-8)/9. Let a = -220/3 - -74. Suppose 4/3*w**2 + 0*w - a*w**5 - 4/3*w**4 + s*w**3 + 0 = 0. Calculate w. -2, -1, 0, 1 Let d = -1865/7 + 267. Factor 4/7*s**2 + 0 - d*s**4 + 2/7*s + 0*s**3 - 2/7*s**5. -2*s*(s - 1)*(s + 1)**3/7 Let n(t) be the second derivative of -t**5/8 + t**4/8 + t**3/6 - 19*t. Let n(y) = 0. What is y? -2/5, 0, 1 Suppose 0 = -5*h - 3*m + 35, -h = -4*m + 14 + 2. Factor -3*z**3 + z**2 + 5 - 5 - z**5 + 4*z**h - z**4. -z**2*(z - 1)**3 Factor -8/9 - 2/9*y**4 - 26/9*y**2 + 4/3*y**3 + 8/3*y. -2*(y - 2)**2*(y - 1)**2/9 Let a(q) be the first derivative of -1/4*q**2 - 1/3*q**3 + 3 + 1/8*q**4 + 1/5*q**5 + 0*q. Factor a(k). k*(k - 1)*(k + 1)*(2*k + 1)/2 Let g be (-13)/2 + 4/8. Let h be (-8)/(-10)*(-3)/g. Factor 0*y + 0*y**2 + 0 - h*y**3. -2*y**3/5 Let g = 9 - 9. Let t be g/(-2) - (-8 - -6). Factor -2/3 - 1/6*q**t + 2/3*q. -(q - 2)**2/6 Let h(a) be the first derivative of a**4/6 - 4*a**3/3 - 7*a**2/3 + 37. Factor h(w). 2*w*(w - 7)*(w + 1)/3 Let 1/3*q**3 + 16/3*q + 4 + 7/3*q**2 = 0. What is q? -3, -2 Let s = -3 - -9. Suppose o - s = -l, 5*o + 5 = 3*l - l. Solve -3*c + 4*c**4 + c - 5*c**2 + c**2 + 2*c**l = 0. -1, 0, 1 Let g be 5 - 8 - -1*2. Let z = g + 5/3. Factor -2/3*p**2 - 4/3*p - z. -2*(p + 1)**2/3 Let 2/5 - 4/5*y**3 - 2/5*y**4 + 4/5*y + 0*y**2 = 0. What is y? -1, 1 Let h(d) = 3*d + 32. Let r be h(-10). Let -1/3*n**r + 0 + 2/3*n = 0. Calculate n. 0, 2 Let h(t) be the second derivative of -t**5 + 10*t**4/3 - 25*t**3/6 + 5*t**2/2 - 11*t. Factor h(x). -5*(x - 1)*(2*x - 1)**2 Suppose -4*m + o - 6*o - 10 = 0, -8 = -5*m + 4*o. Let g(v) be the second derivative of 0*v**3 + m - 3*v + 1/36*v**4 + 0*v**2. Let g(k) = 0. What is k? 0 Let t(d) = -d**3 + 2*d**2 + 12*d + 18. Let y be t(5). Solve 1/4*f**5 + 0 + 1/4*f**4 - 1/4*f**y + 0*f - 1/4*f**2 = 0. -1, 0, 1 Let o(u) be the third derivative of -1/8*u**4 - 1/10*u**5 + 0 + 0*u + 0*u**3 + 3*u**2. Solve o(y) = 0 for y. -1/2, 0 Solve 1/3*t**3 - t + 0 - 2/3*t**2 = 0. -1, 0, 3 Let t(f) be the second derivative of f**4/102 - 4*f**3/17 + 11*f. Factor t(a). 2*a*(a - 12)/17 Let b(d) = -d**3 + 6*d**2 - 4*d - 1. Suppose l - 4*l + 4 = -f, 0 = 3*f + 2*l - 21. Let h be b(f). Factor 2*t**3 + 2*t - 2*t - t**3 - t**h - t + t**2. -t*(t - 1)**2*(t + 1) Suppose -11*o = -5*o. Suppose -2*i = -3*n - 0*n - 1, o = -4*i + 2*n + 6. Suppose -2/9*b**i + 2/9 + 0*b = 0. What is b? -1, 1 Factor 4/3*z**3 + 20/3*z**2 - 12 + 4*z. 4*(z - 1)*(z + 3)**2/3 Let u be -9*((-45)/6)/5. Let o = u - 13. What is r in -o*r - 17/2*r**3 + 0 - 17/2*r**4 - 3*r**5 - 7/2*r**2 = 0? -1, -1/2, -1/3, 0 Let h(t) be the second derivative of -t**7/105 + t**6/30 - t**4/6 + t**3/3 - 3*t**2/2 + 2*t. Let o(p) be the first derivative of h(p). Factor o(g). -2*(g - 1)**3*(g + 1) Suppose -36*y + 26 + 46 = 0. Find g such that 0*g - 2/7*g**5 + 10/7*g**4 - 16/7*g**3 + 8/7*g**y + 0 = 0. 0, 1, 2 Let g be ((-39)/5)/(-3) - 2. Let x(t) be the first derivative of 1/6*t**6 + t - 3/2*t**2 - g*t**5 + 1/2*t**4 - 3 + 2/3*t**3. Find l such that x(l) = 0. -1, 1 Factor 6*n**3 + 0 + 3*n**4 + 3 + 9 - 9*n**2 - 12*n. 3*(n - 1)**2*(n + 2)**2 Let s(b) be the first derivative of 2*b**5/55 - 2*b**3/11 + 2*b**2/11 + 8. Let s(f) = 0. Calculate f. -2, 0, 1 Let -2/9 - 2/3*t + 2/3*t**3 + 2/9*t**2 = 0. Calculate t. -1, -1/3, 1 Let j be ((-2)/6)/((-4)/8). Let h be (-2)/(-4)*(-2)/(-3). Determine v, given that 0 + h*v**2 - j*v = 0. 0, 2 Let x(s) = 2*s - 5. Let i(a) = a - 3. Let t(l) = 7*i(l) - 3*x(l). Let r be t(9). Let 0*b - b + 2*b**4 - 3*b**4 + r*b**3 + 2*b - 3*b**2 = 0. What is b? 0, 1 Let f be 2/(-3) + 602/24. Let a = 103/4 - f. Find x, given that 0*x + 0 - 2/3*x**2 - 2/3*x**4 - a*x**3 = 0. -1, 0 Suppose 0 = 4*z - 4*z - 2*z. Determine h, given that 1/2*h**2 + 1/2*h + z - 1/2*h**4 - 1/2*h**3 = 0. -1, 0, 1 Let v(f) be the third derivative of -f**9/45360 + f**7/7560 + f**4/8 - 2*f**2. Let q(r) be the second derivative of v(r). Let q(t) = 0. Calculate t. -1, 0, 1 Suppose -5*x**3 + 2*x**3 - 3*x**4 + 3*x**2 - 3*x + 6*x**3 = 0. Calculate x. -1, 0, 1 Factor -4/5*d + 2/5*d**2 + 2/5*d**3 + 0. 2*d*(d - 1)*(d + 2)/5 Let z(v) be the third derivative of v**8/50400 - v**5/30 - v**2. Let o(d) be the third derivative of z(d). Suppose o(g) = 0. Calculate g. 0 Factor 4*k**2 - 2*k + 18*k**4 - 16*k**4 - 6*k**3 + 2*k. 2*k**2*(k - 2)*(k - 1) Suppose -u + 3 = -0. Suppose 6*g = u*g + 30. What is z in 8*z**2 - 2*z + 0*z - g*z**2 = 0? -1, 0 Let k(d) be the second derivative of 1/2*d**2 + 0*d**3 - 1/12*d**4 - 3*d + 0. Determine m, given that k(m) = 0. -1, 1 Factor y**5 + 3*y**4 + 0*y**5 - y**2 + 2*y + 5*y**4 - 3*y**3 - 7*y**4. y*(y - 1)**2*(y + 1)*(y + 2) Suppose 3*o - 30 + 10 = -2*u, 16 = 5*o - u. Factor 1/3*r**o + 0*r + 0 + 0*r**3 - 1/3*r**2. r**2*(r - 1)*(r + 1)/3 Let h(x) be the second derivative of -x**9/6480 - x**8/2240 + x**7/630 + x**6/540 - x**4/4 + 9*x. Let l(v) be the third derivative of h(v). Factor l(j). -j*(j - 1)*(j + 2)*(7*j + 2)/3 Suppose 5*x**2 + 6*x**2 - 6*x**2 = 0. What is x? 0 Solve -8*j**3 - 26*j**3 - 14*j**2 + 20*j + 36*j**3 = 0 for j. 0, 2, 5 Let i(u) be the third derivative of u**8/588 + u**7/70 + 11*u**6/280 + 19*u**5/420 + u**4/56 + 5*u**2. Find w, given that i(w) = 0. -3, -1, -1/4, 0 Let d = 12 + -11. Let l be (d + -1)/(1 - 0). Factor l*m + 0 + 2/3*m**3 + 2/3*m**2. 2*m**2*(m + 1)/3 Solve 0 + 3/4*d**4 + 3/4*d**3 - 3/4*d - 3/4*d**2 = 0 for d. -1, 0, 1 Let h(x) be the first derivative of 0*x - 1/3*x**3 + 4 - 1/4*x**2 - 1/8*x**4. Find v such that h(v) = 0. -1, 0 Suppose 28 = 4*u + 8. Solve 17*h**4 +
{ "pile_set_name": "DM Mathematics" }
earest integer? 80 What is 3236 to the power of 1/2, to the nearest integer? 57 What is the cube root of 9157 to the nearest integer? 21 What is the fourth root of 6221 to the nearest integer? 9 What is the square root of 26958 to the nearest integer? 164 What is 19081 to the power of 1/9, to the nearest integer? 3 What is the fifth root of 924 to the nearest integer? 4 What is 57224 to the power of 1/3, to the nearest integer? 39 What is 522 to the power of 1/6, to the nearest integer? 3 What is the third root of 25098 to the nearest integer? 29 What is 65809 to the power of 1/8, to the nearest integer? 4 What is the square root of 8763 to the nearest integer? 94 What is the sixth root of 5687 to the nearest integer? 4 What is 111214 to the power of 1/2, to the nearest integer? 333 What is 7691 to the power of 1/2, to the nearest integer? 88 What is the fourth root of 564 to the nearest integer? 5 What is 3411 to the power of 1/2, to the nearest integer? 58 What is the cube root of 6997 to the nearest integer? 19 What is the seventh root of 1026 to the nearest integer? 3 What is the cube root of 106541 to the nearest integer? 47 What is 4794 to the power of 1/2, to the nearest integer? 69 What is 1098 to the power of 1/6, to the nearest integer? 3 What is the cube root of 37672 to the nearest integer? 34 What is the eighth root of 8114 to the nearest integer? 3 What is the tenth root of 12979 to the nearest integer? 3 What is 13 to the power of 1/2, to the nearest integer? 4 What is 145 to the power of 1/4, to the nearest integer? 3 What is 8528 to the power of 1/3, to the nearest integer? 20 What is 58554 to the power of 1/5, to the nearest integer? 9 What is 1979 to the power of 1/7, to the nearest integer? 3 What is 1970 to the power of 1/3, to the nearest integer? 13 What is the square root of 50620 to the nearest integer? 225 What is the third root of 17356 to the nearest integer? 26 What is the square root of 40339 to the nearest integer? 201 What is 1243 to the power of 1/2, to the nearest integer? 35 What is the fifth root of 25029 to the nearest integer? 8 What is 120 to the power of 1/2, to the nearest integer? 11 What is 343 to the power of 1/3, to the nearest integer? 7 What is the ninth root of 7334 to the nearest integer? 3 What is the square root of 46 to the nearest integer? 7 What is the ninth root of 57744 to the nearest integer? 3 What is 1196 to the power of 1/3, to the nearest integer? 11 What is the third root of 3576 to the nearest integer? 15 What is 253 to the power of 1/3, to the nearest integer? 6 What is 14449 to the power of 1/2, to the nearest integer? 120 What is the square root of 80 to the nearest integer? 9 What is the cube root of 6247 to the nearest integer? 18 What is 4906 to the power of 1/4, to the nearest integer? 8 What is the fourth root of 138518 to the nearest integer? 19 What is 4570 to the power of 1/3, to the nearest integer? 17 What is 12183 to the power of 1/2, to the nearest integer? 110 What is the square root of 34360 to the nearest integer? 185 What is 10477 to the power of 1/3, to the nearest integer? 22 What is the eighth root of 16104 to the nearest integer? 3 What is 3825 to the power of 1/2, to the nearest integer? 62 What is the cube root of 53200 to the nearest integer? 38 What is the third root of 1189 to the nearest integer? 11 What is the sixth root of 186 to the nearest integer? 2 What is the third root of 49719 to the nearest integer? 37 What is the square root of 1009 to the nearest integer? 32 What is 2427 to the power of 1/7, to the nearest integer? 3 What is the sixth root of 8458 to the nearest integer? 5 What is the fifth root of 1201 to the nearest integer? 4 What is the tenth root of 94198 to the nearest integer? 3 What is the square root of 80161 to the nearest integer? 283 What is the third root of 2680 to the nearest integer? 14 What is 6376 to the power of 1/8, to the nearest integer? 3 What is 3869 to the power of 1/2, to the nearest integer? 62 What is the fifth root of 244 to the nearest integer? 3 What is 98 to the power of 1/3, to the nearest integer? 5 What is the sixth root of 2670 to the nearest integer? 4 What is the square root of 25902 to the nearest integer? 161 What is the third root of 51479 to the nearest integer? 37 What is the third root of 1082 to the nearest integer? 10 What is the square root of 39685 to the nearest integer? 199 What is 6986 to the power of 1/6, to the nearest integer? 4 What is the third root of 1710 to the nearest integer? 12 What is 33298 to the power of 1/3, to the nearest integer? 32 What is 11992 to the power of 1/3, to the nearest integer? 23 What is 1310 to the power of 1/3, to the nearest integer? 11 What is the square root of 2209 to the nearest integer? 47 What is the third root of 3942 to the nearest integer? 16 What is 1006 to the power of 1/2, to the nearest integer? 32 What is the square root of 212 to the nearest integer? 15 What is the cube root of 21215 to the nearest integer? 28 What is the square root of 5311 to the nearest integer? 73 What is 3701 to the power of 1/2, to the nearest integer? 61 What is the eighth root of 753 to the nearest integer? 2 What is 1848 to the power of 1/3, to the nearest integer? 12 What is the square root of 38098 to the nearest integer? 195 What is the fifth root of 12417 to the nearest integer? 7 What is 357 to the power of 1/5, to the nearest integer? 3 What is the cube root of 31749 to the nearest integer? 32 What is 99572 to the power of 1/2, to the nearest integer? 316 What is the cube root of 230 to the nearest integer? 6 What is 4518 to the power of 1/6, to the nearest integer? 4 What is 1071 to the power of 1/6, to the nearest integer? 3 What is the tenth root of 200 to the nearest integer? 2 What is the sixth root of 1788 to the nearest integer? 3 What is 120020 to the power of 1/3, to the nearest integer? 49 What is the third root of 5847 to the nearest integer? 18 What is 45748 to the power of 1/2, to the nearest integer? 214 What is 2682 to the power of 1/3, to the nearest integer? 14 What is 14335 to the power of 1/5, to the nearest integer? 7 What is 68227 to the power of 1/3, to the nearest integer? 41 What is the third root of 4688 to the nearest integer? 17 What is 7458 to the power of 1/9, to the nearest integer? 3 What is 6949 to the power of 1/4, to the nearest integer? 9 What is 155886 to the power of 1/2, to the nearest integer? 395 What is the square root of 1861 to the nearest integer? 43 What is the cube root of 2832 to the nearest integer? 14 What is 5451 to the power of 1/3, to the nearest integer? 18 What is 3268 to the power of 1/8, to the nearest integer? 3 What is the sixth root of 8232 to the nearest integer? 4 What is the cube root of 20846 to the nearest integer? 28 What is the third root of 58921 to the nearest integer? 39 What is the square root of 7629 to the nearest integer? 87 What is 17430 to the power of 1/10, to the nearest integer? 3 What is the square root of 4158 to the nearest integer? 64 What is the cube root of 96601 to the nearest integer? 46 What is 48581 to the power of 1/8, to the nearest integer? 4 What is the sixth root of 8461 to the nearest integer? 5 What is 780 to the power of 1/3, to the nearest integer? 9 What is the cube root of 439 to the nearest integer? 8 What is 323 to the power of 1/4, to the nearest integer? 4 What is the square root of 4130 to the nearest integer? 64 What is 1750 to the power of 1/2, to the nearest integer? 42 What is 16383 to the power of 1/2, to the nearest integer? 128 What is the cube root of 378 to the nearest integer? 7 What is the square root of 1896 to the nearest integer? 44 What is the square root of 1467 to the nearest integer? 38 What is the square root of 12504 to the nearest integer? 112 What is 2462 to the power of 1/8, to the nearest integer? 3 What is 33500 to the power of 1/3, to the nearest integer? 32 What is 7865 to the power of 1/7, to the nearest integer? 4 What is the cube root of 15540 to the nearest integer? 25 What is 7342 to the power of 1/3, to the nearest integer? 19 What is the third root of 24137 to the nearest integer? 29 What is 182 to the power of 1/2, to th
{ "pile_set_name": "DM Mathematics" }
e 2*f + 0*w = 3*w + 14, 4*f = 4*w + 24. Solve 0*x + f = -2*x for x. -2 Let q be (-10 + 2)*4/(-8). Suppose 3*h = 3*w, h + q*h = -5*w + 30. Solve h*c = 16 - 7 for c. 3 Suppose 0*x = 5*x - 10. Let l be -2*3/(4 + x). Let s(o) = -4*o**3 - o**2 - 2*o - 1. Let g be s(l). Solve -g*k + 15 = -k for k. 5 Let x(n) = n**2 + 8*n + 7. Let o be x(-7). Solve 0*t + 5*t + 20 = o for t. -4 Suppose -1 = -3*g - b, -3 = -2*g - 2*g - b. Let l = 4 + -1. Solve g*x + 5 = l for x. -1 Suppose -13*n + 10*n = -39. Let p = n + -11. Solve -3*y - 5 = p*y for y. -1 Suppose 4 = t + 3*w + 1, 0 = -4*t + w - 14. Let i(g) = -g + 1. Let y be i(t). Solve y = 3*a + 16 for a. -4 Suppose -n - 2*n = 0. Let w(b) = -5*b**3 + b**2 + b. Suppose 0 = -3*o + 5*h + 2, -4*o + 2*h = -3*h - 1. Let j be w(o). Solve -5*r + n = j for r. -1 Suppose -5*i - 15 = 5*a, 6 = -4*a - 5*i - 9. Solve a*p + 5 = -p for p. -5 Let g(c) = 4*c - 1. Let w be g(6). Let o = w + -13. Suppose 3*m - z - o = -0*m, 3*m - 30 = -3*z. Solve 0*k + m*k = -5 for k. -1 Suppose -12 = 4*k + 4*s, 0 = 3*k - s + 3*s + 4. Solve -7*b + k*b = 0 for b. 0 Suppose -35 = -3*j + 5*h, 0*j + 4*j = 4*h + 44. Solve -2*r + j = 3*r for r. 2 Suppose 3*c = 2 + 7. Solve 1 + 8 = c*v for v. 3 Let l(m) = -m**3 + 5*m**2 - 3*m. Let r be l(4). Solve -6 = r*v + 6 for v. -3 Let b be ((-18)/4)/((-3)/4). Let k be b/(-4)*(-12)/9. Solve -3*j = -k*j for j. 0 Let o = 4 + -5. Let b be (o/(-1) - 3)*-1. Solve -2*q - 4 = b for q. -3 Let a = -3 + 4. Let r be (-4)/2 + a + -1. Let p be ((-4)/6)/(r/6). Solve d + 5 = p*d for d. 5 Suppose -2*s = -0*s + 8. Let j be s*(-3)/6*9. Solve -5*i + 7 + j = 0 for i. 5 Let q(p) = -p**3 + 3*p + 1. Let k be 7/(-3) + (-7)/(-21). Let b be q(k). Solve 0 = 2*h - 5 + b for h. 1 Let y be 6/(-15) + 96/15. Suppose 2*w + y = -0, 12 = 3*j - 4*w. Solve j = 5*p - 4 - 6 for p. 2 Let n be (-1)/((-26)/8 - -3). Suppose -n*g - 1 = t - 13, 0 = -g - 4*t + 18. Solve g = 2*j - j for j. 2 Let y = 3 + -3. Let j be y + 0/(-2) + 15. Solve g = -4*g - j for g. -3 Let u(m) = -m**3 - 5*m**2 + 7*m + 6. Let o be u(-6). Suppose o = -4*j + 4*l - 20, -j - 2*j = 2*l - 10. Solve j = -2*y - 3*y + 5 for y. 1 Suppose 0*g = -4*g + 100. Let v(i) = i**2 + 13*i + 15. Let j be v(-13). Let d = g - j. Solve -2*m - 3*m + d = 0 for m. 2 Let y be 7/28 + 70/8. Suppose 3*i - 6 = y. Solve 0 = -2*n + i*n + 15 for n. -5 Suppose -4*p = -2*l + 18, p + 9 = 5*l + 3*p. Solve 0 = 7*u - l*u - 12 for u. 3 Let y = 163 + -163. Solve -1 = -y*v + v for v. -1 Let r(k) = 20*k**2. Let o be r(1). Let d(t) = t**2 + 4*t - 2. Let v be d(-6). Let j = o - v. Solve j = -5*z + 3*z for z. -5 Let s(v) be the third derivative of v**5/60 - v**4/3 + 2*v**3/3 + v**2. Suppose 5 = -3*u + 29. Let r be s(u). Solve 0*o + r*o + 4 = 0 for o. -1 Suppose 25*r - 8 = 17*r. Solve 2*v = v + r for v. 1 Let n(m) = m - 4. Let g be n(0). Let s = 9 + g. Solve 0*h - 10 = -s*h for h. 2 Suppose -14 = 2*w - 62. Solve 1 + w = -5*n for n. -5 Let l be (-5)/(-5)*0/1. Let b be (-2)/(16/(-4))*l. Solve b*v - 2*v = 0 for v. 0 Let j(r) = -5*r + 35. Let q be j(7). Solve q*o = -4*o + 8 for o. 2 Let k be -1 + (-2 - (-3 + -2)). Suppose 0 = 2*w + k*w - 12. Suppose -2*f = w*f - 30. Solve -2 = -4*g + f for g. 2 Let q(y) = -5*y - 6. Let o be q(-2). Solve 0 = -0*s - s - o for s. -4 Suppose 4*r + r = 0. Let l be (r - -6) + (-9)/3. Solve -x + l*x = 4 for x. 2 Let j be 11 + 1/(2/4). Suppose 47 + j = 3*f. Suppose 0 = -2*w + 6*w - f. Solve -w*v + 4*v = -5 for v. 5 Suppose 0 = 4*z - 3*u + 2*u + 3, 3*z + 15 = 5*u. Solve -10 = 5*k - z*k for k. -2 Let q = 9 - 4. Suppose 9 = 8*v - 5*v. Suppose 0 = -2*d + 4*c + 6, 3*d - v*c = -0*d + 9. Solve 2 = q*t - d*t for t. 1 Let v be (-5)/(-2)*6/5. Suppose 4*o = -3*d + 91, v*d - o = -0*d + 101. Suppose 0 = 4*h + 4, 2*x + 3*h - d = -2*x. Solve -x = -i + 4*i for i. -3 Let p = 4 + -4. Suppose 2*t - 9 + 5 = p. Solve -i = -t*i for i. 0 Suppose 3*s - 3*s = -4*s. Solve -g + 6 - 4 = s for g. 2 Suppose 0*k - 2*o = 5*k - 35, 0 = -3*k + 3*o. Let s(w) = w**2 + 5*w - 4. Let p be s(-6). Solve 18 = -k*n - p for n. -4 Suppose -c - 7 = -5*d + 12, 3*d + c = 13. Solve 0 = d*z - 2 - 2 for z. 1 Suppose -3*p + 3*i - 189 = 0, -3*i + 313 = -p - 4*p. Let g be 4/14 - 12/(-7). Let q be g/8 + p/(-8). Solve 0 = 3*h + h - q for h. 2 Let d be (-1)/(-2)*(-6 - -4). Let z be (3 + d)*(-42)/(-4). Solve -z = 5*j - 6 for j. -3 Suppose -3*d + 3 = -9. Solve -3*u = -2*u + d for u. -4 Let d be (-2)/(-4)*8/1. Suppose 5*m = 4*v + 7, -4*m - 2 = 5*v - 24. Suppose -5*g + d = -m*g. Solve g = -4*h + 6 for h. 1 Suppose -16 = -5*f + f. Suppose r + 2*r - 15 = 0. Let o = r + -4. Solve f - o = -3*i for i. -1 Suppose 3 = -y + 6. Solve m + y = 2*m for m. 3 Let c(i) = -2*i - 3*i + 2*i + 2*i - 2. Let n be c(-4). Solve 0 = 4*g - n - 6 for g. 2 Let u be 1*(2 - 1 - -1). Let d(f) = -f**2 - 11*f + 2. Let h be d(-11). Solve -h*w + 0 = u for w. -1 Suppose -3*r + 0*r = -12. Let x(m) = m - 2. Let d(u) = u - 2. Let a(j) = -3*d(j) + 4*x(j). Let n be a(r). Solve -3 = n*p + 1 for p. -2 Let i be 10/(-35) - (-1544)/14. Let r be (1/2)/(5/i). Let n = -1 + 3. Solve n*h + r = 3 for h. -4 Let m be 2 + ((-12)/(-1))/2. Let c(l) = -l**2 - 4*l + 4. Let o be c(-4). Let h = m + o. Solve -n + 4*n = -h for n. -4 Let j(a) = -3*a**2 - 16*a + 1. Let c(p) = -p**2 - 5*p. Let z(x) = -7*c(x) + 2*j(x). Let f be z(3). Let r(w) = -w + 8. Let u be r(6). Solve f = -u*k - 2*k for k. -5 Let q be 2/(3/((-30)/4)). Suppose -3*v = 2 - 32. Let m = v + q. Solve m = 3*o - 4*o for o. -5 Let q(u) = u**2 + 1. Let j be q(0). Solve 1 + j = -g for g. -2 Let f = -3 + 4. Let c be (3 - 4) + 5/f. Suppose s - c = 2. Solve k + s = -2*k for k. -2 Let s = -1 - -1. Suppose 2*m - 6*m + 4 = s. Let t be 5 + 1/1*m. Solve 8 = -t*d + 2*d for d. -2 Let t be ((-15)/2)/((-45)/60). Solve -n + t = n for n. 5 Let r(a) = -2*a - 9. Let b be r(-7). Suppose b*c = -12 - 3. Let g be ((-18)/8)/(c/16). Solve -g = -2*k + 6*k for k. -3 Let s be -2*(-1)/4*4. Let w = s - -8. Suppose 2*r = 3*k + 6*r - 16, 2*k + 2*r - 10 = 0. Solve k*y + w = -y for y. -2 Let g be 4 - (3 + -5)/(-2). Suppose -6*i + 2*i = -2*r - 4, -4*i - 2*r = -12. Solve -g*s - i = -5*s for s. 1 Suppose 0 = -6*q + q. Let d = 27 + -25. Solve q = -2*a + d for a. 1 Let y be -1 + 3 + 4 + -4. Let n(s) = 0*s - 4*s + s**y + 6 - 3*s. Let z be n(6). Solve -q - 2*q + 15 = z for q. 5 Suppose 0 = -y - 3*y + 88. Suppose y = 2*b + 5*m, -3*b + 4*m = b - 16. Solve -2*w - b = w for w. -2 Let t be (-4)/(-14) + 108/14. Let a = -13 + 20. Let i be 9/6*(4 - 2). Solve i*p - a*p = -t for p. 2 Suppose -q = -2*q + 5. Let f = -2 + q. Solve -f*g = -8*g - 20 for g. -4 Let u(o) = o**3 - 13*o**2 - 14*o + 3. Let h be u(14). Solve 0 = -h*k - 2 - 7 for k. -3 Let l(c) = c**2 - 6*c - 8. Let f be l(8). Solve 3*w = -w - f for w. -2 Suppose 0 = 5*y - w + 4, 4*y + 8 = 4*w - 2*w. Suppose -5*g + 5 = -y*g. Solve 0 = z + g - 3 for z. 2 Let j(h) = -h**3 + 7*h**2 + 10*h - 12. Let g be j(8). Solve 0 = -n + g + 1 for n. 5 Let u = 10 - 6. Suppose -2 = -w - u. Let i(m) = -m**3 + m**2 - m - 2. Let g be i(w). Solve -3 - g = -5*t for t. 3 Let m = 102 - 98. Solve m*w + 0 + 20 = 0 for w. -5 Let s(l) = -l**2 + 6*l - 5. Let a be s(5). Let z = 38 - 36. Solve -z*v - v = a for v. 0 Let g be 3 - ((6 - 3) + 0). Suppose g = 3*m - 0*m - 9. Solve 5 = m*r + 2*r for r. 1 Let q = -45 + 47. Let g = -9 + 13. Suppose g*n + o - 15 = -2*o, 3*n - 10 = -q*o. Solve n = -0*w + 4*w + 12 for w. -3 Suppose 0 = -g + 5*g - 5*a - 8, g + 5*a - 2 = 0. Suppose 0*k = -g*k + 32. Solve -3*d = k - 1 for d. -5 Let r(f) = 5*f**2 - 2 + 1 - 5*f + 4*f. Let i(v) = -v**3 + 7*v**2 - 10*v - 1. Let k be i(5). Let g be r(k). Solve -x = 4*x + g for x. -1 Suppose -3*d - 6 = 2*y - 26, 0 = -3*d + 4*y + 14. Solve -u - 2*u - d = 0 for u. -2 Let x(g) = g + 10. Let m be x(-7). Suppose -3 = f + m. Let r be 0/((-1)/((-3)/f)). Solve r = 2*c - 3*c - 2 for c. -2 Let a be (-8)/(-10)*85/34. Solve 5*n - a*n = -3 for n. -1 Suppose j - 7 = -3*j + 3*y, j = -4*y + 16. Suppose -4*p = j*h - 16, p + 1 = -3*h - 1. Solve 1 - p = -3*f for f. 2 Let n = -2 + 3. Suppose -4*j + 4*s + 92 = 0, j + 9*s - 4*s - 11 = 0. Let c = -17 + j. Solve -17 = -c*m - n for m. 4 Suppose 5*u + 3 + 2 = 0, -2*q + 2*u + 2 = 0. Solve -1 = -q*p + p for p. -1 Let c = -46 - -49. Solve c*k + 0 = 12 for k. 4 Let m = -13 + 13. Solve m = -5*i + 8*i - 12 for i. 4 Let d
{ "pile_set_name": "DM Mathematics" }
Let t = q - g. What is t rounded to 1 dp? -0.3 Let y = -94427822.9999948 + 94427846. Let w = y + -23. Round w to six dps. 0.000005 Let y = 0.21 - -12.79. Let x = -12.897 + y. What is x rounded to 2 dps? 0.1 Let j = -2 + 4. Suppose -12 = 2*n - 4*l, -j*n + 5*l = -0*n + 15. Let z be n*(-3 + 7/2). What is z rounded to one dp? 0 Let l = 18 + -17.99999915. Round l to 7 decimal places. 0.0000009 Let r = 0.109 + -0.10900089. Round r to 7 dps. -0.0000009 Let n(k) = k - 6. Suppose 2*a = -0 + 18. Let y be n(a). Suppose 0*l - y*l = 27. What is l rounded to the nearest ten? -10 Suppose 0 = -24*j + 26*j - 40000. Round j to the nearest one thousand. 20000 Let n = 65.09 + -6.29. Let q = 38 - n. Round q to the nearest integer. -21 Suppose 4*z = -2*t + 12, -3*t + 13 - 3 = -2*z. Let a be t/(-2)*(-4 - -3). Suppose 0*p + a*p = 4000. What is p rounded to the nearest one thousand? 2000 Let f = 0.01 - 0.01. Let u = 3 + f. Let h = u - 2.9995. What is h rounded to 4 decimal places? 0.0005 Let t = -486.000001052 - -486. What is t rounded to seven dps? -0.0000011 Let z = -1725535 - -1725534.259913. Let i = 0.74 + z. What is i rounded to 5 decimal places? -0.00009 Let a = 16.8 + -15. Let l = a + 10.2. Let n = l + -11.99987. Round n to 5 decimal places. 0.00013 Let s = 0.7 + -9.7. Let v = 12.4 + s. Round v to the nearest integer. 3 Let i = 16.66994 + -16.6. Let p = i + -0.07. What is p rounded to five decimal places? -0.00006 Let u = -0.63 + 0.7. Let x = 0.67 - u. Let o = x + -0.67. What is o rounded to 2 decimal places? -0.07 Let p be ((-875)/4)/((-3)/960). What is p rounded to the nearest 100000? 100000 Let q = -5.8 - -4. Let j = -57.8 - q. Let d = j - -55.999963. Round d to five decimal places. -0.00004 Suppose -3*b = -4*k - 7, k = 6*k + 2*b - 20. Suppose -k*f + 7*f = -250000. What is f rounded to the nearest 100000? -100000 Suppose 560 = 4*i - 240. Let k be (i/15)/(1/(-138)). What is k rounded to the nearest 100? -1800 Let q(v) = -v - 1. Let f be q(-6). Suppose -f*z + 3*l + 12 = 0, 2*z - l - 2*l - 3 = 0. Round z to the nearest ten. 0 Let g = -13 - -19. Let d = 6.6 - g. Let w = d - 0.5995. Round w to 4 decimal places. 0.0005 Let a = 449253336 - 449256645.67719. Let r = 3276.677 + a. Let w = -33 - r. Round w to 4 decimal places. 0.0002 Let v = 0.041 - 0.041061. What is v rounded to four dps? -0.0001 Suppose -2*p = 182 - 42. Round p to the nearest ten. -70 Let t = 2 - 2. Let r be 2/(-4)*(t - 2). Let s be -2 + r/((-1)/7999998). Round s to the nearest one million. -8000000 Let h(j) = -9*j**3 - 4*j**2 - 3*j. Let a(s) = -s**2 - s + 4. Let l be a(-3). Let u be h(l). Round u to the nearest ten. 60 Let a = -0.10902 + -4.34198. Let c = 0.051 + a. Round c to zero decimal places. -4 Suppose -4*l = -0*l + 30092. Let d = l + 13523. What is d rounded to the nearest 10000? 10000 Let m = 7.19 - 7.6. Let k = -0.4187 - m. Round k to 3 dps. -0.009 Let v = 4.09 - 4. Let t = v - 0.0912. What is t rounded to 3 decimal places? -0.001 Let u(l) = 1309*l**3 - l**2 - 2*l - 2. Let k be u(-1). Let w(z) = 670*z**2 + z - 1. Let a be w(1). Let d = a + k. Round d to the nearest 100. -600 Let g = 10865 + -4065. Round g to the nearest one thousand. 7000 Let u = 392 - 792. Round u to the nearest 10. -400 Let k be (-80)/6*37275/7. What is k rounded to the nearest ten thousand? -70000 Suppose -4*r - r + 5*c + 835 = 0, r = -c + 173. Suppose 3*s + 5*d + r = -141, -5*s - 477 = -2*d. What is s rounded to the nearest 10? -100 Let x = 640118657 + -436995819. Let j = -203122836.69999991 + x. Let n = j - 1.3. What is n rounded to seven decimal places? 0.0000001 Let s = 2.2 - 0.3. What is s rounded to 0 decimal places? 2 Let y(m) = m + 10. Let b be y(-7). Suppose b*w - 7*w - 4440 = 0. What is w rounded to the nearest 100? -1100 Let c = 0.31 + 0.09. What is c rounded to the nearest integer? 0 Let p = -46 + -123. Round p to the nearest 10. -170 Let v(u) = -5*u + 3. Let b be v(3). Let z be (-1)/(-4) - (-3)/b. Suppose -2*i = 3*y - i + 1380000, -y + 4*i - 460000 = z. Round y to the nearest 100000. -500000 Let b = 9350.009 - 9356. Let f = -2 - 4. Let c = b - f. Round c to 3 dps. 0.009 Let p = 105 - 53. Let v = 38.5 - p. Round v to zero dps. -14 Let t = -107.9789 - -108. Let r = 0.024 - t. Round r to 3 dps. 0.003 Let y = 84 + -83.61. Round y to 2 decimal places. 0.39 Let p = 535 - 309. Suppose -4*m - 2*i = -p, 2 - 3 = -i. Let q = m - 14. What is q rounded to the nearest 10? 40 Let r = -1.4 - 0.2. Let c = r + 1.5999955. What is c rounded to six dps? -0.000005 Let n be (2 - (-1 + 2)) + -2. Let o(u) = 375*u**2 + u + 1. Let z be o(n). Let d be z*(498/(-9) - -2). What is d rounded to the nearest ten thousand? -20000 Let q = -0.69999673 - -0.7. What is q rounded to seven dps? 0.0000033 Let n = 37.088 - 37. What is n rounded to 2 decimal places? 0.09 Let v(z) = -8*z + 3. Let q be v(2). Let f be (-1 - q)*(-2)/(-6). Suppose -3*a + 30012 = -4*r, -f*r + 19985 = 2*a + r. What is a rounded to the nearest 10000? 10000 Let z = 847319.9659941 + -847320. Let y = z + 0.034. What is y rounded to six decimal places? -0.000006 Let u = -3069065.62 + 3069049.8608581. Let g = 15.67415 + u. Let j = g + 0.085. Round j to 6 decimal places. 0.000008 Let k(h) = 4*h**2 - 2 - 729*h**3 + 6*h - 4*h**2 - 3. Let m be k(-7). What is m rounded to the nearest 100000? 300000 Let j = -12.01 + 0.01. Let d = 12.0004 + j. Round d to three dps. 0 Let u = -7 - -6.7. Let z = 0.3 + -0.2. Let w = u + z. What is w rounded to 0 dps? 0 Let k = -100.892 - 2.408. Let u = -19.3 - k. Let b = 84.0000039 - u. What is b rounded to six dps? 0.000004 Let r = -41 - -271. Let l be -100*r*(-2 - 1). What is l rounded to the nearest 10000? 70000 Let x = -3249 - -1279. What is x rounded to the nearest 100? -2000 Suppose -3*y - 916 + 181 = 0. Round y to the nearest ten. -250 Suppose j - 18194 = 11804. Suppose -3*n + 39002 + j = 0. Round n to the nearest ten thousand. 20000 Let q be (96/15)/(2/9000). Suppose -4*k + 0*k = -q. What is k rounded to the nearest 1000? 7000 Let g(q) = -116002*q - 10. Let r(b) = -2*b + 7. Let y be r(6). Let w be g(y). Round w to the nearest 100000. 600000 Suppose 23816 = 5*q - 3*b, -5*b = -6*q + q + 23820. Suppose v - 2*v = -q. Let o = 738 + v. What is o rounded to the nearest 1000? 6000 Let l(c) = 6000001*c**2 + 2*c - 1. Let w be l(-2). Suppose -3*s + h + 18000002 = 3*h, 0 = -4*s + h + w. Round s to the nearest 1000000. 6000000 Suppose -184 = 3*j + 98. What is j rounded to the nearest 10? -90 Suppose -2*k = k - 2306793. Let m = k - 1968931. What is m rounded to the nearest one million? -1000000 Suppose -1 = -f - 0*f. Round f to the nearest 10. 0 Suppose -2*h + 3 = -3. Suppose 2236738 = -h*t + 14836738. Round t to the nearest 1000000. 4000000 Let o = 4.179 - -0.021. Let u = o - -0.8. Let t = u + -4.999932. What is t rounded to five dps? 0.00007 Let d = -0.0942 + 0.06. What is d rounded to three decimal places? -0.034 Let a = 0.03578857 - 295.04968857. Let i = a + 295. Round i to 3 decimal places. -0.014 Let o be 1 + 1*(-22)/(-2). What is o rounded to zero dps? 12 Suppose -2*b + 0*j - 5*j = 5225, 3*b = j - 7795. What is b rounded to the nearest one hundred? -2600 Let l = -13 - 11. Let t = -13 - l. Let x = t + -11.021. What is x rounded to 2 dps? -0.02 Let c = -77.00000079 - -77. Round c to seven decimal places. -0.0000008 Let j = 9.19 - 0.19. Let n = j - 12. Let a = 2.9912 + n. What is a rounded to three dps? -0.009 Let q = 4134031 + 11698545. Suppose d = 5*i - 14667422 - q, -3*i + d + 18299998 = 0. What is i rounded to the nearest one million? 6000000 Let l(n) = 95151*n**3 + n**2 - 1. Let y be l(1). Suppose y = -h + 18151. What is h rounded to the nearest 10000? -80000 Let o = -76 - -75.99992. What is o rounded to five dps? -0.00008 Suppose 5*f + m - 7 = 0, -3 = 5*f - 3*m - 22. Suppose 0 = f*a + 2*a + 128000. What is a rounded to the nearest 10000? -30000 Let y be 2/8 - 13356/(-16). Let g = -155 + y. Round g to the nearest one hundred. 700 Suppose w - 522 = 3*w. Let b be (-19)/(-2 - (-61)/31). Let h = b - w. Round h to the nearest one hundred. 900 Let l = 5198680 - -7031320. What is l rounded to the nearest one million? 12000000 Let m = 1.75 + -0.8. Round m to one dp. 1 Let a be (-4 - -4784)/(2*1). Round a to the nearest one thousand. 2000 Let f = 1.75 + -2.
{ "pile_set_name": "DM Mathematics" }
rentiate w(z) wrt z. -4*z**3 Let n(d) be the third derivative of -d**6/60 + d**4/24 - 9*d**2. What is the second derivative of n(p) wrt p? -12*p Let b(q) = q**3 + 10*q**2 + 9*q + 4. Let h be b(-9). Find the second derivative of -8*g**h - 4*g - g**2 + g**2 - 2*g wrt g. -96*g**2 Let q = 53 + -50. Let s(h) be the third derivative of 0*h**5 + 0*h**q - 1/8*h**4 + 0 + 1/40*h**6 + h**2 + 0*h. What is the second derivative of s(l) wrt l? 18*l Let u(o) = -55*o**2 - 12*o + 2. Let i(d) = 2*d**2 + d - 1. Let w(a) = 2*i(a) + u(a). What is the second derivative of w(p) wrt p? -102 Let n be 2/(5/2 - 2). Find the second derivative of 4*b + n*b - 11*b + 2*b**2 + 2*b**2 wrt b. 8 Suppose 5*a = 3*a. Let w(q) = q**3 + q**2 + q + 4. Let x be w(a). What is the first derivative of x*g + 1 + g**3 - 4*g - 2 wrt g? 3*g**2 Let c(d) be the second derivative of 3*d + 0*d**2 + 0 - 1/10*d**5 + 0*d**4 + 1/6*d**3. Find the second derivative of c(q) wrt q. -12*q Let d(q) be the first derivative of -11*q**5/5 - 4*q**3 + 13. Find the third derivative of d(m) wrt m. -264*m Suppose -27 = -5*p - 2*d - 9, 0 = 4*p + 3*d - 20. Find the third derivative of -9*z**5 + 2*z**2 + 4*z**5 + 3*z**p wrt z. -300*z**2 Let y(a) = 5*a**4 - 9. Let u(k) be the first derivative of 16*k**5/5 - 26*k - 5. Let r(q) = -3*u(q) + 8*y(q). Differentiate r(p) wrt p. -32*p**3 Differentiate -6*w**4 - 2*w**4 - 9 + 0 - w**4 wrt w. -36*w**3 Let n(h) = -13*h**3 + h. Let v(c) = c**3 + c + 7. Let y be v(0). Let l(o) = -6*o**3. Let k(g) = y*l(g) - 3*n(g). What is the second derivative of k(f) wrt f? -18*f Let k = 5 - -7. Let c = k + -6. Find the third derivative of -m**4 + 0*m**2 + c*m**2 - 4*m**2 wrt m. -24*m Let c(n) = -2*n - 11. Let f be c(-9). Let p = f + -4. Find the third derivative of 0*t**2 - 3*t**2 + p*t**4 + 0*t**2 - t**2 wrt t. 72*t Let g(a) be the third derivative of a**12/73920 - a**8/5040 - a**5/15 - a**2. Let t(c) be the third derivative of g(c). Find the third derivative of t(s) wrt s. 1080*s**3 What is the first derivative of 15 + x - 3*x - 19 wrt x? -2 Suppose 4*u + 3 + 9 = 0. Let r = u - -4. Find the first derivative of -2*b + 3*b**2 + 2*b - 1 - r wrt b. 6*b Let f(c) be the first derivative of 1/5*c**5 + 0*c - 2*c**2 + 0*c**3 + 0*c**4 - 3. Find the second derivative of f(r) wrt r. 12*r**2 Let b(c) be the third derivative of 0 + 1/3*c**3 + 6*c**2 + 0*c - 5/24*c**4. Find the first derivative of b(n) wrt n. -5 Let d be -6*(-2)/(-4) - -11. Suppose -2*i = -a + 1, i = 4*a - 10 - d. Find the second derivative of i*u**3 + 2*u**3 + 2*u - 8*u**3 wrt u. -24*u Let v(w) be the third derivative of w**7/70 - w**4/8 - 4*w**2. What is the second derivative of v(c) wrt c? 36*c**2 Let b(q) be the second derivative of -q**5/20 + 3*q**3/2 + 22*q**2 + 8*q - 1. Differentiate b(d) wrt d. -3*d**2 + 9 Let s(j) be the second derivative of j**9/1512 + j**5/40 - j**3/3 - 4*j. Let d(f) be the second derivative of s(f). What is the second derivative of d(u) wrt u? 40*u**3 What is the derivative of -2*m**4 - 1 + 10 + 510*m**2 - 510*m**2 wrt m? -8*m**3 Let o = -2 + 7. Find the second derivative of 17*h**o + 3*h**2 - h - 3*h**2 - 19*h**5 wrt h. -40*h**3 Let p = 5 - 4. Find the second derivative of p - 3*x - 3*x**4 - 1 wrt x. -36*x**2 Suppose 4*j + 4*g - g = 17, -j = -2*g + 4. What is the third derivative of 0*c**j - 3*c**2 - c**6 + 4*c**6 wrt c? 360*c**3 Suppose -2*w - m = 1, -3*w = -m - 3*m - 26. What is the third derivative of g**2 - 4*g**3 + 3*g**3 + 6*g**w - 3*g**2 wrt g? -6 Let o(t) = 17*t**3 + 0*t - 5*t - 19*t**3. Let i(r) = r**3 + r. Let g(h) = -4*i(h) - o(h). What is the second derivative of g(j) wrt j? -12*j Let d(w) be the first derivative of 2*w**4 - w + 6. Find the first derivative of d(v) wrt v. 24*v**2 Let c(n) = n**3 + 5. Suppose -4*w = -y - 0*y, -5*w = 5*y. Let l be c(y). What is the second derivative of l*t - 5*t + 4*t + t**4 + t**4 wrt t? 24*t**2 Let z(w) be the second derivative of -4*w**6/15 + w**3/3 - 9*w. What is the second derivative of z(o) wrt o? -96*o**2 Differentiate -4*x + 2*x + 6*x - 1 wrt x. 4 Let y(v) be the first derivative of -3*v**5/20 - v**4/4 - 5*v - 1. Let f(w) be the first derivative of y(w). What is the third derivative of f(s) wrt s? -18 Let m(p) = -p**3 + 8*p**2 - 5*p - 10. Let q be m(7). Find the first derivative of 3*z**4 + 7 + 0*z + 0*z + 3*z**q wrt z. 24*z**3 Let k(m) be the third derivative of -5*m**8/336 + m**6/60 + m**5/3 + 2*m**2 + 11*m. Find the third derivative of k(o) wrt o. -300*o**2 + 12 Let v(o) = 0*o + 2*o - 4*o + 9*o**3 + 5. Let a = -5 + 6. Let t(p) = -p**3 + p - 1. Let l(y) = a*v(y) + 5*t(y). What is the second derivative of l(z) wrt z? 24*z Let v(t) be the third derivative of -t**8/1680 + t**5/60 - t**3/3 + t**2. Let a(h) be the first derivative of v(h). What is the second derivative of a(r) wrt r? -12*r**2 Let c = -6 + 8. Suppose -1 = -c*p + 7. Find the first derivative of 4 + 0*u**4 - 2 + 0 - 3*u**p wrt u. -12*u**3 Find the second derivative of -488*s**4 + 487*s**4 + 36*s - s**3 + 2*s**3 wrt s. -12*s**2 + 6*s Let k(o) be the first derivative of 0*o + 3/2*o**2 + o**3 - 4. Find the second derivative of k(x) wrt x. 6 Let x(w) be the first derivative of 3*w**5/5 + 4*w**3/3 + 13*w**2/2 + 51. Find the second derivative of x(y) wrt y. 36*y**2 + 8 Let s(x) = -x**3 + 2*x**2 + x. Suppose -u - 4 = -3*u. Let f be s(u). What is the third derivative of -d**3 + 2*d**f - 4*d**2 + 0*d**2 + 0*d**3 wrt d? -6 Differentiate 5*r - 14*r + 52 + 17*r**2 + 7*r wrt r. 34*r - 2 Suppose -p + 5 - 2 = j, -5*j = 15. Find the first derivative of p*s - s**2 - 6*s - 2 wrt s. -2*s Let t(p) = p**3 + 4*p**2 - 6*p - 3. Let d be t(-5). Find the third derivative of -6*w**3 - 2*w**2 + 11*w**3 + 7*w**d wrt w. 30 Differentiate 0 - 15*p + 7 + 2 + 0 with respect to p. -15 Let p(h) be the third derivative of 29*h**7/210 + h**3/3 + 18*h**2. Differentiate p(r) wrt r. 116*r**3 Let c be 2/7 - 38/(-14). Suppose 3*d - i = 12, 0*i - c*i - 15 = -2*d. Find the third derivative of w**2 + 4*w**2 + w**d - 3*w**2 wrt w. 6 Find the first derivative of g**3 + 0*g**3 - 39 + 32 wrt g. 3*g**2 Let y(g) = -4*g**2 + 3*g**2 - 3 - 7*g + g. Let w be y(-4). What is the third derivative of -f**w + 2*f**2 + 0*f**2 + 3*f**5 wrt f? 120*f**2 Let g(k) = 37*k**2 - 41*k - 7. Let i(h) = -18*h**2 + 20*h + 3. Let l(t) = -3*g(t) - 7*i(t). What is the second derivative of l(f) wrt f? 30 Let u(y) be the third derivative of -y**6/15 - 13*y**4/24 - 2*y**2. What is the second derivative of u(z) wrt z? -48*z Suppose -11 = -8*k + 5. Let f(z) be the second derivative of -1/2*z**2 + 0*z**3 + 0 + 0*z**5 + 1/30*z**6 + 0*z**4 - k*z. Differentiate f(m) wrt m. 4*m**3 Let o(t) be the third derivative of 2*t**2 + 7/120*t**6 - 2/15*t**5 + 0 + 0*t**4 + 0*t + 0*t**3. Find the third derivative of o(l) wrt l. 42 Let w = 3 + 1. Suppose -3 = -w*i + 1. Differentiate i + 1 + 2*g**3 + 0*g**3 wrt g. 6*g**2 Find the second derivative of -2*f**4 - 3*f**3 + 24*f + 31*f - f**4 - 17*f wrt f. -36*f**2 - 18*f Let y(k) = -3*k + 1. Let b(g) = -g - 13. Let r be b(-11). Let x be y(r). What is the third derivative of -7 + x - o**4 + 2*o**2 wrt o? -24*o Let s(z) = -z - 7. Let n be s(-6). Let f = 2 - n. Differentiate 2*m**3 - 2 + m - m - 5*m**f with respect to m. -9*m**2 Let r(v) = -v**3 + 6*v**2 + 4. Let y be r(6). What is the third derivative of 4 - y + 3*s**2 + 3*s**5 wrt s? 180*s**2 Suppose 2*q = -2*q + 12. What is the second derivative of q*p**3 + 2*p + p**3 - 3*p - 4*p wrt p? 24*p Let y(u) be the second derivative of -1/30*u**6 + 0*u**3 + 0*u**5 + 0*u**2 - 3*u + 0 + 1/4*u**4. What is the third derivative of y(i) wrt i? -24*i What is the third derivative of -2*i**3 + 13*i**2 - 7*i**4 + 2*i**3 - 4*i**4 wrt i? -264*i Let m be -1 + 2 + 4 - 3. Let r(i) = -i - 1. Let h(v) = v + 2. Let l(c) = m*h(c) + 5*r(c). What is the first derivative of l(x) wrt x? -3 Let g = 11 - 9. Find the third derivative of 0*r**2 - 4*r**6 + r**6 + g*r**2 wrt r. -360*r**3 Let h(m) be the third derivative of 0*m**3 - 1/168*m**8 + 0*m + 0 + 0*m**7 + 0*m**5 - 3*m**2 + 0*m**6 - 1/8*m**4. What is the second derivative of h(c) wrt c? -40*c**3 Let b = 8 + -5. Suppose 4*d - 2 = b*d. What is the third derivative of -d*o**5 + 2*o**2 + o**2 - o**2 wrt o? -120*o**2 Let h(m) be the second derivative of 0*m**4 + 0*m**2 - m + 0 - 1/1
{ "pile_set_name": "DM Mathematics" }
ousands digit of a(-29)? 1 Let o(a) = -a**3 + 12*a**2 - 8*a - 5. Let h be o(11). Suppose -h = -3*i + 1115. Let t = i + -237. What is the tens digit of t? 4 Let l be 36 + 52*6/24. Let m(g) = -g**3 - 8*g**2 - 8*g - 5. Let z be m(-7). Suppose -244 = -z*n + 4*c, 2*c - l = -n + 81. What is the units digit of n? 6 Suppose 31*m - 2009656 = -10*m - 41*m. What is the thousands digit of m? 4 Let i(m) = 2244*m + 96. What is the units digit of i(11)? 0 Let o = 2 + 3. Suppose -o*t = -5*d + 530, -69 + 187 = d + 3*t. What is the units digit of d? 9 Let f(h) = 4*h**2 - 11*h - 8. Let y = -2 + 8. Let c be f(y). Suppose 0 = 2*r - c - 0. What is the tens digit of r? 3 Let n = 83879 - 12887. What is the hundreds digit of n? 9 Suppose 2*h - 5 + 1 = 0. Suppose -h*j - 25 = 3*j, -g - 5*j = 35. Let n = g + 92. What is the tens digit of n? 8 Let g(l) = -2*l + 30 - l + 4*l. Suppose 17*i = -232 + 11. What is the units digit of g(i)? 7 Let m be 14/8 + -2 + 390/(-40). What is the tens digit of (0 - -1) + (4 - (m + -567))? 8 Suppose r + 8*p - 3*p + 16 = 0, -4*p = 4*r. Suppose -r*j + 0*j - 214 = -2*n, -4*n = 3*j - 439. What is the tens digit of n? 0 Let a(h) = 306 + 299 - 885 - 424*h + 313. What is the units digit of a(-1)? 7 Let r(x) = x**3 + 7*x**2 + 12*x + 5. Let y be r(-4). Suppose 0*b + b = -3*i + 1412, i - y*b - 492 = 0. Suppose 3*v - i = -5*v. What is the units digit of v? 9 Suppose 0 = 5*v - 4*l - 45743, 4*v + 654*l - 36586 = 656*l. What is the tens digit of v? 4 Let g = 22269 - 14715. What is the tens digit of g? 5 Suppose 0 = 2*s + 2*s - 48. Let w be (-174)/(-3) + -2 + 7. Let u = w - s. What is the tens digit of u? 5 Suppose 5*m - 2*n = 2*n + 2239, -3*m = -n - 1349. Let q = 219 - m. What is the tens digit of ((-2)/4)/(4/q)? 2 Let o(j) = 23*j + 1. Suppose -2*y + 45 = -z, 10 + 10 = -4*z. Suppose -22*g - y = -27*g. What is the units digit of o(g)? 3 Suppose -6*o + 6*v = -3*o - 34302, -2*o = 3*v - 22826. What is the ten thousands digit of o? 1 Suppose 4*k - 11811 = 9949. What is the thousands digit of k? 5 Let z(q) = -q**2 + 5*q - 3. Let s be z(3). Suppose 0 = -0*f + 3*f - 3*t - 150, 0 = -s*t - 9. What is the tens digit of (-1 - f/(-5))*40/16? 2 Let i(r) = 10*r**2 - 107*r + 73. Let b be i(22). Suppose b = 2*f + 3*y, -73*f + 78*f + 2*y = 6403. What is the tens digit of f? 8 Let o(f) be the second derivative of f**6/30 - f**5/30 - 2*f**3/3 - 7*f**2/2 - 5*f. Let p(h) be the first derivative of o(h). What is the tens digit of p(2)? 2 Suppose -3*i - 52055 = -2*i - 6*i. What is the units digit of i? 1 Let n be 208/36 - 40/(-180). Suppose 0*p - n*p = -6342. What is the hundreds digit of p? 0 Suppose -1759 - 11478 = -v. What is the ten thousands digit of v? 1 Let p = -1492 + 48792. What is the ten thousands digit of p? 4 Suppose 0 = -4*m - 36 - 12. What is the hundreds digit of m*(177/(-20) - 4/10)? 1 Suppose 0*p - 8 = -4*i + 3*p, 2*p + 2 = i. Let c = 2 - -1. What is the tens digit of 1/(c + -4) + i + 29? 3 Let f(p) = -p**3 + 66*p**2 - 45*p - 157. What is the thousands digit of f(65)? 1 Let u be 132 - 28/12*3. Let w = u + 751. What is the tens digit of w? 7 Let z(l) = -14*l**2 - 5*l. Let g be z(-4). Let b = g + 321. What is the hundreds digit of b? 1 Let v = -123 - -126. Suppose 5*s = 2*s + 5*j + 244, v*s - 4*j = 248. What is the tens digit of s? 8 Let b = -190 - -180. Let v(q) be the first derivative of q**4/4 + 4*q**3 + 4*q**2 + 5*q - 1. What is the tens digit of v(b)? 2 Let y(v) = 2083*v - 1271. What is the hundreds digit of y(10)? 5 Let l(t) = 17*t**2 + 11*t + 612. What is the tens digit of l(-32)? 6 Let j(u) = 2*u - 17. Let p be j(10). Suppose 4*g = 2*c + 6, -p*c + 11 = 5*g - 2. Suppose 172 = g*b - 28. What is the units digit of b? 0 What is the thousands digit of ((-1)/(-3))/(6/45*10/86540)? 1 Let y(s) = 45*s + 114. What is the units digit of y(10)? 4 Suppose 0 = 5*y + 129 - 944. Suppose 7*n - 5 - y = 0. What is the tens digit of n? 2 Suppose 118119 - 5175 = 16*l. What is the tens digit of l? 5 Let t(z) = -540*z - 294. Let v be t(-5). Let l = -1486 + v. What is the hundreds digit of l? 9 Let w = 1365 + -1324. Let y = -105 + 66. Let q = w + y. What is the units digit of q? 2 Let i(p) = 814*p + 1633. What is the ten thousands digit of i(20)? 1 Let u(s) = -31*s + 12. Suppose 11*o = 16*o + 40. What is the tens digit of u(o)? 6 Let j = 263 - 260. Suppose 937 = j*x + 5*n, -6*x + n = -4*x - 629. What is the units digit of x? 4 Suppose 26*b + b = 57672. Let x = b + -1292. What is the hundreds digit of x? 8 Let w(v) = 3140*v - 5788. What is the ten thousands digit of w(7)? 1 Let j be (3 + -3)*3/(-3). Suppose 2*n + 9*n + 22 = j. What is the units digit of ((-555)/(-21))/5 - n/(-7)? 5 Let i = -260 + 454. Let x = i - 162. What is the tens digit of x? 3 Let q(l) = -142*l**3 - 3*l**2 + 61*l + 223. What is the hundreds digit of q(-6)? 4 Let q(h) = h**2 + 8*h + 11. Let g be q(-7). Suppose 0 = -g*r + r. What is the units digit of (0 - (r - 4)) + 44? 8 Let q = 170 + -188. What is the tens digit of (-60)/q*6/4 + 271? 7 Let r(x) = 365*x + 6744. What is the tens digit of r(0)? 4 Let n(a) = a**3 - 14*a**2 - 15*a + 5. Let p be n(15). Suppose -p*x + 5*m = -650, -x = -5*m - 0*m - 150. Let t = -15 + x. What is the hundreds digit of t? 1 Let d = -932 + 13899. What is the units digit of d? 7 Suppose -4*s + 14 = i, -s + 4*i - 1 - 4 = 0. Suppose s*u + u - 1688 = 0. What is the hundreds digit of u? 4 Let z(d) = -d**3 - 5*d**2 + 4*d - 1. Let p be z(-7). Let t be ((-1)/(-1))/(42/2814). Suppose -p*r + 316 = -t*r. What is the tens digit of r? 5 Suppose 182 + 158 = 17*u. Suppose 5*k + 1710 = u*k. What is the tens digit of k? 1 Let i be (-3)/21 - (5760/(-35))/4. Let b = i + -223. Let t = 319 + b. What is the units digit of t? 7 Let k(r) = r**2 + 2*r - 10. Let f be k(2). What is the units digit of f/(-7) - (-2)/(-7) - -30? 0 Suppose -625 + 201 = -4*k. Let c(g) = -10*g**3 - 16*g**2 + 34*g + 2. Let w be c(2). Let v = k - w. What is the hundreds digit of v? 1 Let v(b) = -4*b**2 + 8*b - 25. Let p be v(3). Let o = 123 - 218. Let i = p - o. What is the tens digit of i? 5 Let n = 182 + -230. What is the thousands digit of (0 - 503)*(n + 46)? 1 Suppose 12*x + 177224 = -92512. What is the thousands digit of x/(-18) - 32/(-144)? 1 Let s = -16 + 37. Suppose -4*g + s = 3*g. Suppose 0 = 3*w + 3*q - 15, g*w - 4 = -5*q + 3. What is the units digit of w? 9 Let x(a) = 391*a**2 + 74*a - 507. What is the thousands digit of x(6)? 4 Let b(t) = 105*t**2 - 27*t**2 + 4*t - 32 - 6*t - 34*t**2 - 36*t**2. What is the hundreds digit of b(6)? 2 Suppose 5*l = -m + 644, -3*l - m = -291 - 95. Let s = l - 89. Let f = s + 62. What is the hundreds digit of f? 1 Let p be 441/(-84) - (-2)/8. Let x be p/(-3) + (-21)/(-9). Let s(z) = 6*z**2 - 8*z + 7. What is the tens digit of s(x)? 7 Let n(z) = -4*z - 9. Let u be n(-3). Suppose -j + 2*b = -5*j + 234, -u*b - 55 = -j. What is the tens digit of j? 5 Let d(y) = -4*y + 15*y + 44 - y**3 + 33*y - 11*y - 20*y**2. What is the hundreds digit of d(-22)? 2 Let v = 404 + -408. What is the hundreds digit of (v/(-16))/(-1)*-532? 1 Let y = 28 + -25. Suppose y*l + 1 = -2. What is the tens digit of (3 - (5 + l))*-66? 6 Suppose -4 = -3*n + 2. Suppose w + v - 7 = 0, 3*v - 23 = -5*w + n*v. What is the units digit of 1 - (1 - (w + 0))? 4 Suppose 8*x - 25 - 7 = 0. Suppose x*u = 5*b, -7 = u - 4*b + 4. Suppose 0*w - 357 = -4*w - 5*z, -u*z - 83 = -w. What is the tens digit of w? 8 Let m(u) = 4*u**3 + 6 - 3*u**3 - 5*u**2 - 16*u + 22*u. What is the hundreds digit of m(7)? 1 Let s = -127 + 173. Suppose 3*l - 398 = s. What is the hundreds digit of l? 1 Let y(u) = -2*u - 5. Suppose -22 = -d + 54. Let g = 71 - d. What is the units digit of y(g)? 5 Let z = 978 - 615. Let i be 1/2 - (-3)/(18/z). What is the units digit of i - 1/(-3 - 32/(-12))? 4 Suppose 34*n + 16 = 36*n. Suppose 26*h = n*h + 4986. What is the units digit of h? 7 Let j(q) = -q**3 + 4*q**2 - 6*q + 17. Let b be j(7). Let w = 533 + b. What is the tens digit of w? 6 Let g = -23 + 26. Let v be (g - (-33)/(-9))*18/(-4). Suppose -v*b + 50 = 41. What is the units digit of b? 3 Let t(g) = 232*g**2 + 4*g + 9. What is the hundreds digit of t(-4)? 7 Let m = -192 - -4236. What is the hundreds digit of m? 0 Let d be -9 - -3 - (-15 + (4 - -1)). Suppose -2*q = -2*f - 1640,
{ "pile_set_name": "DM Mathematics" }
ide 87715393? False Is 119602187 a multiple of 1051? False Is 5301569 a multiple of 6? False Is 35725389 a multiple of 2895? False Is 16 a factor of 215782255? False Is 5417113153 a multiple of 18? False Is 367 a factor of 18657344? False Is 636493603 a multiple of 58? False Does 6 divide 9683975? False Does 55 divide 97124804? False Is 31014631 a multiple of 17? False Is 154166447 a multiple of 33? False Is 5361 a factor of 909976140? True Is 61895610 a multiple of 315? True Is 155 a factor of 159876251? False Does 23 divide 205041366? True Does 12 divide 639034404? True Is 10188 a factor of 1136644596? True Is 33948908 a multiple of 406? True Is 639220419 a multiple of 35? False Is 661 a factor of 1971826456? True Does 635 divide 308194710? True Is 23302800 a multiple of 120? True Is 50 a factor of 12706407? False Does 18 divide 2146215774? False Is 150890597 a multiple of 11? True Does 13 divide 19744231? True Is 4492 a factor of 22965479? False Does 33 divide 22570362? False Is 3476650084 a multiple of 321? False Does 342 divide 408596976? True Does 104 divide 69474080? True Does 45 divide 187358760? True Does 246 divide 402591033? False Does 43 divide 19334004? True Is 168730597 a multiple of 192? False Is 140017650 a multiple of 150? True Does 686 divide 830815286? True Is 474 a factor of 20093905? False Is 1220045939 a multiple of 3? False Is 168 a factor of 748821024? True Is 57986841 a multiple of 859? False Is 2762428 a multiple of 54? False Does 42 divide 57380778? True Does 5663 divide 201727386? True Does 150 divide 17532450? True Does 89 divide 1657229840? True Is 2952472869 a multiple of 9? True Does 222 divide 5522250? True Is 21842238 a multiple of 198? False Does 21 divide 12545484? True Is 58178040 a multiple of 1576? True Is 11 a factor of 49606544? False Is 710 a factor of 221018740? True Is 525 a factor of 298655525? False Is 15835564 a multiple of 218? False Does 115 divide 201955239? False Is 418 a factor of 45884278? True Does 13 divide 2683292339? True Is 2907798 a multiple of 19? True Does 2432 divide 50325376? True Is 9335304 a multiple of 72? True Is 459496 a multiple of 19? True Does 13 divide 31486842? False Does 2058 divide 2628548168? False Does 545 divide 388462375? True Is 247710400 a multiple of 880? False Is 657049809 a multiple of 69? True Does 36 divide 435120738? False Is 31564260 a multiple of 39? True Does 261 divide 17432064? False Is 18 a factor of 77449791? False Does 3 divide 4410881? False Is 34 a factor of 2502298? True Is 47 a factor of 2508733? False Is 1499 a factor of 189316930? False Is 53 a factor of 39600753? False Is 391 a factor of 32870026? False Is 6 a factor of 694174314? True Does 28 divide 968286900? True Is 120 a factor of 6374809621? False Does 6 divide 244329240? True Is 3811441632 a multiple of 1614? True Is 166990413 a multiple of 187? False Does 123 divide 721786139? False Does 5693 divide 110136778? True Is 21 a factor of 67143258? True Is 309 a factor of 1623825900? True Is 777 a factor of 3810903577? False Is 466636 a multiple of 20? False Is 4603 a factor of 332939593? True Is 6762777 a multiple of 7? True Is 2076210 a multiple of 59? True Is 1793425176 a multiple of 1124? True Does 332 divide 4933365? False Does 151 divide 153634216? False Is 90 a factor of 154168036? False Is 2931898246 a multiple of 709? False Does 14 divide 233164566? False Does 34 divide 40132138? True Is 249439281 a multiple of 21? True Is 965793907 a multiple of 749? False Is 16228338 a multiple of 42? True Does 3 divide 426270525? True Is 37 a factor of 287137649? True Does 712 divide 345374112? True Does 60 divide 10276140? True Does 167 divide 1072708099? False Is 305 a factor of 317053916? False Is 12 a factor of 11249508? True Does 125 divide 424919000? True Does 22 divide 82812686? True Does 230 divide 23519741? False Does 3687 divide 556648512? True Does 139 divide 15242323? True Is 24108595 a multiple of 1351? True Does 93 divide 1700505? True Does 15 divide 122437474? False Is 1403512632 a multiple of 8? True Is 9 a factor of 17902728? True Is 13 a factor of 67286817? True Is 23 a factor of 25511692? True Is 641226564 a multiple of 2357? True Does 2930 divide 163211427? False Is 162571434 a multiple of 2927? True Does 56 divide 140738217? False Is 949637425 a multiple of 275? True Is 967 a factor of 1684051774? True Is 16615018 a multiple of 98? True Does 14 divide 192864269? False Is 3095 a factor of 107108665? True Is 6704483 a multiple of 4? False Does 11 divide 290455434? False Is 613890246 a multiple of 771? True Is 41 a factor of 144682730? False Is 872 a factor of 485606? False Does 58 divide 24371078? True Is 3669679148 a multiple of 793? False Is 4 a factor of 136432538? False Is 41 a factor of 116345487? False Is 17 a factor of 1824610812? False Is 578114516 a multiple of 774? False Does 377 divide 36986775? False Is 129436398 a multiple of 273? True Does 21 divide 833393874? False Is 9 a factor of 32686474? False Is 7176 a factor of 1486426192? False Does 1338 divide 120808931? False Does 5 divide 4752802? False Does 845 divide 11385618? False Is 36207080 a multiple of 686? True Does 885 divide 20974500? True Is 11216604 a multiple of 21? True Is 2068 a factor of 62174881? False Is 17 a factor of 161785413? True Is 520385826 a multiple of 11? False Is 214 a factor of 47015158? True Does 6 divide 2405932? False Does 12 divide 1191145? False Does 281 divide 457401473? False Is 64550650 a multiple of 1150? True Is 8 a factor of 8185037? False Is 346429890 a multiple of 18? True Is 3240436824 a multiple of 1597? False Does 258 divide 329215397? False Does 99 divide 328744243? False Does 24 divide 2867167? False Is 23029392 a multiple of 1776? True Is 16932864 a multiple of 53? True Does 101 divide 270260648? True Is 885 a factor of 1049668019? False Is 46195476 a multiple of 166? True Does 15 divide 4214241615? True Does 9 divide 100969992? True Is 32 a factor of 664331? False Does 16 divide 5143689720? False Is 4583217 a multiple of 7? False Is 5193159040 a multiple of 128? True Is 2472 a factor of 1673432760? True Is 652486624 a multiple of 122? False Is 5233353 a multiple of 109? False Does 9465 divide 553894189? False Is 2645901905 a multiple of 10393? True Does 13 divide 770930772? False Is 653692298 a multiple of 14? True Is 184426086 a multiple of 84? False Is 200 a factor of 70431982? False Does 1401 divide 199940913? True Does 14 divide 47162808? True Is 283310368 a multiple of 88? True Is 31641528 a multiple of 8? True Does 2 divide 1400748? True Is 598240102 a multiple of 4651? False Is 16 a factor of 83437183? False Is 28173487 a multiple of 12? False Does 191 divide 5946596? False Does 10 divide 150852770? True Is 67 a factor of 86733242? True Is 12 a factor of 58066351? False Does 20 divide 2809500? True Is 60115746 even? True Does 111 divide 2489912169? False Is 3 a factor of 151807068? True Is 2103 a factor of 55162081? False Is 659536896 a multiple of 1024? True Does 1720 divide 704296867? False Is 8 a factor of 66967528? True Does 20 divide 201140? True Does 1325 divide 23121250? True Is 85 a factor of 1042071525? True Does 158 divide 744867623? False Does 34 divide 343344146? False Is 1121 a factor of 82371221? False Is 45734614 a multiple of 18? False Does 222 divide 210363151? False Is 1100 a factor of 35422106? False Is 884 a factor of 11645456? False Is 33378366 a multiple of 1371? True Is 21 a factor of 3859647? False Is 355235592 a multiple of 24? True Is 14 a factor of 275295266? False Does 1783 divide 30645802? False Is 188964913 a multiple of 21? False Is 106 a factor of 23344592? True Is 11 a factor of 20567050? False Is 157 a factor of 690061335? False Is 254 a factor of 281168348? True Is 57 a factor of 188306568? True Is 197565564 a multiple of 3569? True Does 9 divide 32015916? True Is 17 a factor of 6305385? True Is 334799433 a multiple of 16? False Is 427107308 a multiple of 298? True Does 170 divide 984515900? True Is 3574 a factor of 4097991923? False Is 3663157102 a multiple of 142? True Does 18 divide 56948225? False Is 29797805 a multiple of 271? True Is 400878069 a multiple of 20? False Is 2 a factor of 5682876? True Is 134 a factor of 85
{ "pile_set_name": "DM Mathematics" }
Let q(p) = -6*p - 3. Let n(r) = -r. Let a(j) = 5*j - 1. Let z(x) = a(x) + 6*n(x). Let t(k) = q(k) - 3*z(k). Let u(h) = -h. Calculate u(t(m)). 3*m Let h(v) = -v. Let o be (-2)/(-13) - 96/(-52). Let t(s) = -6 + 2*s**o + 2 + 4. Determine h(t(p)). -2*p**2 Let g(p) = 5 + 2*p - 5. Let v(h) = h**2 - h**2 + h**2. Determine v(g(a)). 4*a**2 Let a(r) = -991*r**2. Let u(g) = -g**2. Calculate u(a(i)). -982081*i**4 Let h(w) = -44*w. Let q(a) = 3*a**2 + 5*a + 5. Let c(l) = 4*l**2 + 7*l + 7. Let n(u) = -5*c(u) + 7*q(u). Give n(h(x)). 1936*x**2 Let u = 8 + -6. Let j(y) = u*y + 2*y - y - 2*y. Let h(a) = 4*a. Give h(j(i)). 4*i Let x(t) be the second derivative of -t**4/12 - 2*t**3/3 - t**2 + t. Let p be x(-2). Let l(y) = 0*y - p*y + 3*y. Let w(a) = -5*a**2. What is w(l(h))? -5*h**2 Let o(p) = -6*p**2 + 4*p. Let y(g) = 5*g**2 - 3*g. Let a(f) = -3*o(f) - 4*y(f). Let m(w) be the second derivative of -5*w**4/12 + w. Give a(m(u)). -50*u**4 Let v(r) = -21*r. Let f(n) = -4*n. Give v(f(y)). 84*y Let l(w) = -2522*w. Let s(b) = b**2. Calculate s(l(z)). 6360484*z**2 Let i(h) = 15*h. Let c(g) = 18*g**2. Calculate c(i(v)). 4050*v**2 Let i(n) = 13*n - 2*n - 4*n. Let o(w) = 2*w. Determine o(i(r)). 14*r Let h(a) = -a**2. Let l(n) = -2*n**2 + 7926*n. What is l(h(p))? -2*p**4 - 7926*p**2 Let o(i) = 187*i. Let s(c) = 43*c**2. Calculate o(s(n)). 8041*n**2 Let b(m) = -3*m. Let l(i) = -i. Let z(h) = -b(h) + 2*l(h). Let n(u) = 10*u**2. Calculate n(z(k)). 10*k**2 Let d(t) = 2*t**2. Let c(o) = 380*o**2. Determine c(d(b)). 1520*b**4 Let k(z) = 11*z**2. Let r(v) be the first derivative of 2*v**2 + 11. Give r(k(h)). 44*h**2 Let v(c) be the third derivative of -c**5/4 + 35*c**2. Let i(a) = 2*a**2. Give i(v(t)). 450*t**4 Let x(l) = 28*l**2 - 2*l. Let n(b) = 2*b**2. Determine x(n(f)). 112*f**4 - 4*f**2 Let l(y) be the first derivative of -23*y**2/2 + 3. Let j(n) = -3*n. Let k(d) = -24*j(d) + 3*l(d). Let o(u) = -u. Determine k(o(b)). -3*b Let g(t) be the third derivative of -t**5/12 + 3*t**2. Let y(l) = 3*l**2. Calculate y(g(c)). 75*c**4 Let r(i) = i**2. Let w(g) = -2987*g. Determine r(w(m)). 8922169*m**2 Let d(z) = 2 + 3*z**2 - z**2 - 2. Let s(o) = -3*o**2. Give s(d(k)). -12*k**4 Let k(m) = m - 1. Let i(a) = 3*a - 2. Let b(l) = i(l) - 2*k(l). Let y(g) be the second derivative of -g**4/12 + 2*g. What is b(y(h))? -h**2 Let u(y) = -6*y. Let b(r) = 3*r**2. What is u(b(f))? -18*f**2 Suppose 3*g = -4*j + 30, -6*g + g - 2*j + 36 = 0. Let a = g - 6. Let c(p) = a*p + 2*p + 0*p - 3*p. Let l(z) = -3*z**2. Determine l(c(m)). -3*m**2 Let i(l) = 4*l. Let b(m) = 9 - 18 + 9 + m**2. Calculate b(i(t)). 16*t**2 Let w(d) be the second derivative of -d**4/8 - 7*d**2/2 - 3*d. Let y(p) be the first derivative of w(p). Let k(n) = 2*n. Calculate y(k(r)). -6*r Let o(n) = n**2. Let q(k) = k + 24. Give q(o(u)). u**2 + 24 Let y(l) = -7*l. Let u(i) be the third derivative of -i**5/30 + 6*i**2. What is u(y(v))? -98*v**2 Let r(y) = 6*y**2. Suppose 35 - 13 = p + 5*d, -2*p = -5*d + 16. Let u(g) = 2*g - 2*g - g**p + 0*g. Determine r(u(h)). 6*h**4 Let f(i) = 4*i - 2*i**2 + 3*i**2 - 4*i. Let a(r) = 3*r + 2. Let s(p) = p - 1. Let w(q) = 3*a(q) + 6*s(q). Give w(f(m)). 15*m**2 Let m be 0/(0 + 1 + 1). Suppose m = 4*i + i - 15. Let a(y) = i*y - 5*y + y. Let p(n) = -n**2. Calculate a(p(o)). o**2 Let s(u) = 7*u**2. Let y(n) = 744*n. What is s(y(r))? 3874752*r**2 Let x(b) = 390*b. Let w(r) = 3*r**2. What is x(w(q))? 1170*q**2 Let z(b) = -b - 1. Let p(s) = 10*s. Give p(z(u)). -10*u - 10 Let x(v) = 2*v**2. Let h(a) = -987*a**2. Determine h(x(n)). -3948*n**4 Let d(v) = 5*v. Let z(w) = -5*w. Give z(d(j)). -25*j Let m(n) be the second derivative of 0 + 0*n**2 + 0*n**3 + 1/12*n**4 - 8*n. Let z(h) = 4*h. Determine z(m(t)). 4*t**2 Let o(c) = 0*c - 4*c - c + 4*c. Let r(n) = -3*n. Calculate r(o(v)). 3*v Let j(n) = -3*n - 19. Let y(h) = -18*h. What is y(j(k))? 54*k + 342 Let j(i) be the second derivative of 13*i**4/6 - 29*i. Let a(z) = z**2. Calculate j(a(d)). 26*d**4 Let r(z) be the second derivative of 1/2*z**2 + 1/12*z**4 + 0 + 0*z**3 + z. Let d(y) be the first derivative of r(y). Let g(k) = -2*k**2. Calculate d(g(n)). -4*n**2 Let x(h) = -h. Let q(v) = 6*v. Let t(a) = -3*q(a) - 16*x(a). Let c(y) = -y**2. Calculate t(c(s)). 2*s**2 Let u(a) = 3*a**2. Let s(t) = -5*t**2 + 6*t**2 + 2*t**2. What is s(u(w))? 27*w**4 Let d = 6 + -8. Let i be d/6 + 7/3. Let m(u) = 3 + i*u - 3. Let w(y) = y. Give m(w(h)). 2*h Let i(h) = -14*h - 3. Let q(v) = -15*v - 4. Let c(w) = 4*i(w) - 3*q(w). Let y(f) = f. What is c(y(s))? -11*s Let c(y) = -10*y. Let w(m) = 66*m**2. Calculate w(c(n)). 6600*n**2 Let a(y) = y + 9. Let d(u) = -1. Let w(q) = 4*a(q) + 36*d(q). Let g(k) = 7*k. What is g(w(j))? 28*j Let l(k) = -5*k. Let v(r) be the second derivative of 0 + 0*r**2 - 1/6*r**4 + 0*r**3 - r. Give l(v(p)). 10*p**2 Let r(i) = -i**2. Let k(u) be the second derivative of u**4/12 - 16*u**2 - 2*u - 2. What is k(r(j))? j**4 - 32 Let n(l) be the first derivative of 1/3*l**3 + 4 + 0*l + 0*l**2. Let f(x) = -5*x. What is n(f(p))? 25*p**2 Let t(f) = f**2 - f + 1. Let c(q) = 35*q**2 - 45*q + 45. Let b(k) = -2*c(k) + 90*t(k). Let h(l) = l**2. Give h(b(d)). 400*d**4 Let l(f) = 2*f. Let i = -19 + 19. Let n(c) be the second derivative of c + 1/6*c**3 + i + 0*c**2. Give l(n(j)). 2*j Let l(x) be the first derivative of 3*x + 1 - 3*x - 5 - 3*x**3. Let g(k) be the first derivative of -2*k**3/3 + 1. What is g(l(i))? -162*i**4 Let s(g) be the third derivative of g**7/720 - g**5/15 - 2*g**2. Let v(b) be the third derivative of s(b). Let w(j) = -2*j**2. Give w(v(l)). -98*l**2 Suppose t - 10 = -5. Let b(x) = -t*x - x**2 + 5*x. Let s(r) = 3*r + 0*r - r. What is b(s(m))? -4*m**2 Let m(i) = -84*i + 84*i + i**2. Let o(y) be the second derivative of -y**6/180 - y**3/3 + y. Let f(k) be the second derivative of o(k). Give m(f(r)). 4*r**4 Let w(g) = 4*g. Let d(t) be the second derivative of 0 - 4*t + 1/6*t**4 + 0*t**2 + 0*t**3. Calculate d(w(k)). 32*k**2 Let f(b) = 2*b + 31. Let g(c) = 16*c. What is f(g(u))? 32*u + 31 Let a(u) = 2*u + 117. Let s(k) = -9*k. What is s(a(o))? -18*o - 1053 Let j(h) = 6*h**2 + 3*h - 3. Let m(r) = -6*r**2 - 2*r + 2. Let u(b) = 2*j(b) + 3*m(b). Let w(l) = 5*l. Give u(w(o)). -150*o**2 Let z(w) = -3*w**2. Let r(g) = -3348*g**2. Calculate r(z(l)). -30132*l**4 Let q(y) = 12*y**2 - 11*y. Let t(m) = 2 + 2*m - 3*m - 2 + m**2. Let i(c) = 2*q(c) - 22*t(c). Let p(f) = 2*f. What is i(p(n))? 8*n**2 Let k(x) = -x - 14. Let s(w) be the second derivative of w**3/6 - 4*w. Calculate s(k(t)). -t - 14 Let v(x) = 10*x**2 - 2. Let j(m) = 4*m. Give v(j(p)). 160*p**2 - 2 Let s(d) = 2 - 2 - d. Let n(y) be the first derivative of 5/2*y**2 + 2 + 0*y. Determine s(n(x)). -5*x Let o(b) = -2*b**2. Let v(r) = -5*r - 3 + 2 + 3. What is o(v(t))? -50*t**2 + 40*t - 8 Let s(k) = -k**2 - 2*k + 3. Let x be s(0). Let m(r) be the second derivative of r - 1/6*r**x + 0*r**2 + 0. Let i(u) = -3*u**2. Give i(m(t)). -3*t**2 Let f(u) = -u. Let w(i) = 4*i + 2. Suppose 4*a - 4 = 3*a. Suppose -a*o - 17 - 3 = 0. Let t(d) = -9*d - 5. Let y(m) = o*w(m) - 2*t(m). Determine y(f(p)). 2*p Let j(d) = 3*d**2. Suppose 3*t = 2*y + y - 18, -2*t = 2*y - 28. Let i(a) = 1 + 9*a - y*a - 1. What is j(i(s))? 3*s**2 Let i(p) = p. Let b(c) = 137*c**2. What is b(i(h))? 137*h**2 Let w(i) = -3*i - 6. Let o(h) = -1. Let m(q) = 6*o(q) - w(q). Let v(r) be the second derivative of 0 + 1/6*r**3 + r + 0*r**2. What is m(v(k))? 3*k Let f(d) = -2*d. Let m(s) = -s. What is f(m(y))? 2*y Let n(z) be the third derivative of z**5/60 + 5*z**2. Let w(k) = -33*k - 12. Let p(u) = -13*u - 5. Let v(h) = 12*p(h) - 5*w(h). What is v(n(f))? 9*f**2 Let i(q) be the second derivative of -q**5/30 + q**2/2 + 3*q. Let a(s) be the first derivative of i(s). Let h(t) = 5*t. Determine h(a(w)). -10*w**2 Let i be 1 - 0 - (-2 - -1). Let a(o) = i*o + o - 4*o. Let f(r) = -17*r + 17*r - 3*r**2. What is f(a(t))? -3*t**2 Let x(h) = 8*h + 6. Let w(t) = -t - 1. Let z(f) = -6*w(f) - x(f). Let y(d) be the first derivative of -3*d**2/2 - 1. Give y(z(p)). 6*p Let b(c) = -198*c - 2 + 2 + 209*c. Let i(r) = -5*r. Give b(i(y)). -55*y Let l(a) be the second derivative of -a**5/60 + 2*a**2 - 4*a. Let b(p) be the first derivative of l(p). Let r(n) = n. Determine b(r(k)). -k**2 Let v(f) = -f - 1. Let t(
{ "pile_set_name": "DM Mathematics" }
o**(11/5)*o/(o*o*(o/(((o*o/(o**(-7/2)*o)*o*o)/o)/o))/o)*(o/(o**(-14)/o*o))/(o/(o**(1/3)*o)) assuming o is positive. o**(631/30) Simplify (m**(1/38)/(m/(m/(m/(m/(m/(m/m**(3/17)*m)*m))))))/(m*m/((((m*m*(m/(m**(-10)*m))/m)/m)/m)/m))**(-38) assuming m is positive. m**(-147385/646) Simplify (b*b**(2/77)*b**(2/49))**31 assuming b is positive. b**(17825/539) Simplify (y**10*y**16/y)**(12/7) assuming y is positive. y**(300/7) Simplify (z**1)**47/(z**(3/2)*z**(-10)) assuming z is positive. z**(111/2) Simplify (p**(-1/6)*p)**(-37)*(p/(p*p**(-6/5))*p)/p**7 assuming p is positive. p**(-1069/30) Simplify ((i*(i*(((i**(-21)/i)/i*i)/i)/i*i)/i)/i)/(i**2/i)*(i**(-10)/i)**(2/5) assuming i is positive. i**(-142/5) Simplify (s*s*s*s**(-1/11)*s)**25/(s*s*s/(s**(6/7)*s)*s*s)**(1/65) assuming s is positive. s**(488883/5005) Simplify v*(v*(v**(-14)/v)/v)/v*v**2*v*v**(-1/12)*v/(v*(v/(v**(-1/27)*v*v)*v)/v*v*v) assuming v is positive. v**(-1417/108) Simplify (w**(-5/7)/(w/(w*w**(-9))))/(w**(-1/3))**31 assuming w is positive. w**(13/21) Simplify (q*q**(-12))/(q**3*q)*(q*q/q**(1/3))/((q*q**(4/11)*q*q)/q) assuming q is positive. q**(-518/33) Simplify (j**15*j**22)/(j**(-17/3)*j*j**(-24)) assuming j is positive. j**(197/3) Simplify ((d**(1/2))**(1/8)/(d*d**(3/4)*d*(d*d**(3/2)*d*d)/d*d))**(2/71) assuming d is positive. d**(-115/568) Simplify (x/(x*x**(3/7)))/x**15*x**(-3/14)*x**7 assuming x is positive. x**(-121/14) Simplify ((c/(c/(c/(c/((c**22/c)/c)))))/((c/c**(-8/7))/c))**(-1/4) assuming c is positive. c**(-33/7) Simplify (f**(1/3))**32/(f/f**(-10/3)*f*f**(2/27)) assuming f is positive. f**(142/27) Simplify (r**18)**(6/37)*(r**(1/2)/r)**2 assuming r is positive. r**(71/37) Simplify a**(-13)*a/(a*a/(a*a/((a*a/a**(14/11))/a*a)))*a**(-1/35)*a/(a**(22/9)*a) assuming a is positive. a**(-52669/3465) Simplify ((v**1)**8/((v*v/(v/(v**(-1/5)*v)))/(v*v/((v**(2/11)*v)/v))))**(2/23) assuming v is positive. v**(882/1265) Simplify (a/((a/a**(-10)*a)/a)*(a*((a*a/a**(2/43))/a)/a*a)/a)/((a/a**(-3/5)*a)/(a/(a/(((a**(-6/11)*a)/a)/a)*a))) assuming a is positive. a**(-33564/2365) Simplify (t**(-5)*t/t**(-2/37)*t)/(t/((t*t/t**(2/5))/t))**(10/7) assuming t is positive. t**(-911/259) Simplify ((l*l**(-9))/l**6*(l**2)**2)**(-16/3) assuming l is positive. l**(160/3) Simplify (z**2*z**(-14)*z*z*z)**(-49) assuming z is positive. z**441 Simplify (k**(1/3))**(5/2)/(k**(-25/2))**3 assuming k is positive. k**(115/3) Simplify (h/h**(3/8))/((h/(h/(h*h**(-1/2)*h*h*h)))/h)*h**(1/11)*h/(h**5/h) assuming h is positive. h**(-421/88) Simplify (m**(-1/3))**(2/19)*m**(4/11)/(m/(m/m**22)) assuming m is positive. m**(-13588/627) Simplify (p/((p/(p**(11/2)/p))/p)*p)**17*(p*p**(-1/22)*p)**(-14/11) assuming p is positive. p**(26139/242) Simplify ((t/(t/(t/(t**12*t)))*t)/t*t/t**(-35))**47 assuming t is positive. t**1128 Simplify (d*d**(-34/5)*d)/(d**(-26)*d)*(d*d*(d*(d**(-20)/d)/d)/d)**(-29) assuming d is positive. d**(3001/5) Simplify (f/f**(-1/12))**(2/93)*(f/(f*f/((f/(f/((f*f**(1/3))/f)))/f)*f*f*f))/(f**(-24)/f*f) assuming f is positive. f**(10801/558) Simplify ((k**(2/5))**(1/56)/(k**7/((k/(k/(k**(-10)/k)))/k)))**(-4/5) assuming k is positive. k**(2659/175) Simplify z**2/(z*z*z**14*z)*z**(2/7)/z**(-14) assuming z is positive. z**(-5/7) Simplify (i*i**(-5/8))/i**(-28)*i**(-3/2)*i*i*i/(i/i**(9/7)) assuming i is positive. i**(1689/56) Simplify (r**(-13)/r**(-1/16))**(-2/17) assuming r is positive. r**(207/136) Simplify x**(2/33)*x/x**(-13/4)*(x*x*x**(-4))/x**8 assuming x is positive. x**(-751/132) Simplify ((a**2/((a*a*a**(-2/9))/a))/((a/(a/(a/a**5*a*a)*a))/a*a**(-4)/a))**(22/9) assuming a is positive. a**(2024/81) Simplify ((b/b**9)**(-29))**28 assuming b is positive. b**6496 Simplify ((c**(4/9)*c*c/c**(-1/6)*c)**(1/2))**(7/6) assuming c is positive. c**(455/216) Simplify (k**(-2/7)/k)**(11/4)*(k/k**(1/2))/(k**(-6)*k) assuming k is positive. k**(55/28) Simplify (g**(-6))**(1/7)*g**(-6)/g*g**(1/7) assuming g is positive. g**(-54/7) Simplify (x**(4/7)*x**(2/7)/x*x**(-2/7)*x*x**(-4/7))**(-9) assuming x is positive. 1 Simplify (v*v**(-4/3)/v*v*v*v)/(v*v/v**(-6)*v)*(v*v*v**7)/(v**(-11)/v) assuming v is positive. v**(41/3) Simplify (j*j*(j**(2/3)*j*j)/j)**(1/3)*(j/j**16)**(-44) assuming j is positive. j**(5951/9) Simplify (((d/d**(-4/5))/(d*d**1))**(24/11))**46 assuming d is positive. d**(-1104/55) Simplify (((k/k**(6/13))/(k/k**(-6/7)))**44)**(-7) assuming k is positive. k**(5280/13) Simplify ((v**(-20)*v)/v)/(v*(v*v**(-2))/v)*(v*v**(-2))**(1/13) assuming v is positive. v**(-248/13) Simplify (r*r/(r**(-2)*r))**36*r**(2/17)/r**(-1/2) assuming r is positive. r**(3693/34) Simplify (f/(f**(3/22)*f)*f**(-1))/(f**(-29)/f*f/f**(-27)) assuming f is positive. f**(19/22) Simplify (((n**0)**(-14))**(-32))**(-2/39) assuming n is positive. 1 Simplify (y/y**(-5))**(-1/22)/(y**(-4/9)/y)**39 assuming y is positive. y**(1850/33) Simplify (((t/(t/(t*t/(((t*(t/((t/(t*t*t**(-1/6)*t))/t))/t)/t)/t))*t*t)*t)/t)/t)**(-13)/((t*t**(1/45)*t*t*t)/t**(-18/11)) assuming t is positive. t**(30863/990) Simplify ((d*d**(2/11)*d*d*d*d**(2/7)*d)/(d**1*d**(3/8)))**5 assuming d is positive. d**(12605/616) Simplify (f/(f*f**(-10/7))*f/(f/(f/(f/(f*(f*f/f**(11/2))/f))))*f)/(f/(f**(-1/4)*f))**(-23) assuming f is positive. f**(131/28) Simplify ((t**9/((t*t**(-2/33))/t*t))/(t**(-6)*t**(-2/5)))**36 assuming t is positive. t**(28632/55) Simplify (h/h**(-2/15))**(1/44)/(h**15/(h*h**5)) assuming h is positive. h**(-5923/660) Simplify (((o**(-2))**(-22))**44)**(-33) assuming o is positive. o**(-63888) Simplify ((n**18/n)/(n*(n/n**(1/9))/n))/(n**(-2))**(-24) assuming n is positive. n**(-287/9) Simplify (j*j**(-10)*j**(6/5))/(((j**(2/21)/j*j)/j)/((j/(j/j**4*j*j))/j*j)) assuming j is positive. j**(-514/105) Simplify (l**8*l/l**(18/7))/(l**(-19)*l*l**1) assuming l is positive. l**(164/7) Simplify (f/(f/(f*(f/(f/f**(-3)))/f))*f)**(3/13)*(f*(f**(-7)/f)/f*f)/f**8 assuming f is positive. f**(-201/13) Simplify (g**5*(g*g**(1/10))/g)/((g**(-11/2)/g)/g)**(-24/13) assuming g is positive. g**(-1137/130) Simplify c**(1/15)/c**(-1/5)*(c*c**(2/45))/c**(-2/3) assuming c is positive. c**(89/45) Simplify l*l/(l/l**22)*l*l**(-7)*l*l/l**(-21)*l*l/(l/l**(1/47)) assuming l is positive. l**(1928/47) Simplify (u**(-2/75)/u*u*u*u/(u**(2/3)/u)*u)/((u*u**(-26))/u**(9/2)) assuming u is positive. u**(4921/150) Simplify ((b/b**(-1/6)*b)/b*b)**(-4)*(b*b/(b/(b*b*b/(b*b**15*b)))*b)/b**(-4) assuming b is positive. b**(-50/3) Simplify (((l/(l/(l**12*l)))/(l*l*l**(-4/7)))**(-7))**(-2/5) assuming l is positive. l**(162/5) Simplify (o/(o*o**(-2/23)))**(2/13)/(((o*o**(-3/5)*o)/o)/o)**(1/11) assuming o is positive. o**(1117/16445) Simplify w**(-4/7)*w*w**(-1/6)*w*(w**3/w)/(w/(w/w**(-7)*w)) assuming w is positive. w**(473/42) Simplify (((w/w**1*w)/w)/((w/w**(-24))/w))/((w/w**(-23))/(w*w**13*w)) assuming w is positive. w**(-33) Simplify x**21*x**(-3/17)*x/((x/x**15)/x)*x**(-30) assuming x is positive. x**(116/17) Simplify (a*a/a**0*a)/a**18*(a*a**(-2/7))**27 assuming a is positive. a**(30/7) Simplify (y**0)**(2/5)/(y/y**6*y*y/(y**(-3/10)*y*y)*y) assuming y is positive. y**(37/10) Simplify (c**29)**39*(c*c*c**20)/(c**38*c) assuming c is positive. c**1114 Simplify ((t*(t/(t*t*t/(t*t*t**0/t))*t)/t)/t**(-16))/(t**(-18)*t*t*t**(-1/7)) assuming t is positive. t**(225/7) Simplify b**(-4/3)*(b**(-1/8)*b)/b*((b**(1/2)*b)/b)**(-18/7) assuming b is positive. b**(-461/168) Simplify ((c**(12/7)/c)/c*c*c*(c/(c*(c/(c*c/(c/((c**(-2/15)/c)/c*c)*c*c)*c)*c*c)/c*c))/c)/((c**(2/45)*c)/(c/(c*(c*c**17*c)/c*c))) assuming c is positive. c**(-7391/315) Simplify ((z/(z*z**(1/6))*(z/(z*z**2)*z)/z*z)/((z**(1/10)*z)/(((z*z**(-2/13))/z*z)/z)))**24 assuming z is positive. z**(-3776/65) Simplify (d**(9/7))**(-8/3)/((d*d**(-36))/d**(-31)) assuming d is positive. d**(4/7) Simplify (((g**0/g)/g**(6/11))/(g**(-3)/g)**(13/6))**(1/4) assuming g is positive. g**(235/132) Simplify (x*x/x**(2/3)*x*x/x**(3/4))/((x**(9/5)/x)/(x*x**14)) assuming x is positive. x**(1007/60) Simplify ((y/((y*y**(1/11)*y)/y))/y)**(10/17)*(y/(y**(-21/5)*y)*y*y)**17 assuming y is positive. y**(97949/935) Simplify (j**(-3)*j)**(-18)/(j**(2/27)/(j/(j/j**(2/37)*j))) assuming j is positive. j**(34945/999) Simplify (k*k*k**(-1)*k*k/((k*k*k/(k*(k**6/k)/k)*k*k)/k))/((k/(k/(k/(k/
{ "pile_set_name": "DM Mathematics" }
159 -9158.99 What is the distance between 83698.1 and -0.2? 83698.3 What is the difference between 0.5 and -195331.7? 195332.2 Calculate 562 - 0.2. 561.8 Subtract 0.1429 from 0.0387. -0.1042 Total of -65 and -174. -239 Put together 0.09 and -10428. -10427.91 Sum 0.152 and -0.29. -0.138 What is -193.92 take away -17? -176.92 Add together -213 and -0.55. -213.55 -2481+0 -2481 What is 1 less than -205.572? -206.572 Add together -0.26 and -0.154. -0.414 What is -8 + 218099? 218091 Add 528 and 0.0705. 528.0705 What is 7 take away -472599? 472606 Subtract 271 from 0.726. -270.274 Add together 14 and -81176. -81162 What is 1990 less than -5? -1995 What is -0.2 - 13.137? -13.337 What is 238 + 66? 304 Put together -0.04 and -317.2. -317.24 What is -0.2 minus 2.50518? -2.70518 What is -0.19 less than -0.0409? 0.1491 Total of -1.02 and -3. -4.02 What is -0.16 take away 170? -170.16 What is 0.09 take away 4552? -4551.91 What is the distance between 22123 and 16? 22107 1.137 + -0.6 0.537 2 - 193 -191 What is 0.82 less than -0.0675? -0.8875 Add together -55.98 and 14. -41.98 -1 - 21583 -21584 Put together 0 and -1801691. -1801691 Add together 28 and -0.5. 27.5 What is the distance between 2 and -0.20777? 2.20777 Put together -10 and 0.08438. -9.91562 What is 5 minus 0.04104? 4.95896 What is the difference between -259040 and -2? 259038 What is 2 less than -0.935? -2.935 Total of -1500 and 0.1. -1499.9 -4 + -756 -760 Work out -0.3 + 0.1804. -0.1196 -0.006 - 7 -7.006 What is -4 - -0.712? -3.288 What is 0.1 - -0.00256? 0.10256 Total of -260 and 29259. 28999 Put together -4 and 19548.1. 19544.1 Subtract -171 from 4.737. 175.737 What is -21 less than 0.04378? 21.04378 Work out 6 + 202806. 202812 Total of 0.04 and -761. -760.96 -8+57684.9 57676.9 What is -22 + -0.34? -22.34 What is -0.161 take away 8944? -8944.161 What is the distance between 70947 and -0.8? 70947.8 -57 + -31065 -31122 -0.2197+2 1.7803 What is 25 - 275? -250 Calculate -3 + -1943686. -1943689 Total of 0.7 and -130. -129.3 Sum 5 and -8508. -8503 What is 3 + -1193.3? -1190.3 What is 0.18 - 14716? -14715.82 Subtract 0.04 from 38026. 38025.96 What is 167 less than -18.79? -185.79 What is the distance between 111.4 and -0.5? 111.9 Sum 29374 and 37. 29411 What is -0.96 less than -86? -85.04 -39.4+-23149 -23188.4 Add -0.03889 and -0.3. -0.33889 2.24+-0.08 2.16 Sum 0.071 and -0.1501. -0.0791 Calculate 2 - 121.4. -119.4 What is the distance between -0.5 and 0.4538? 0.9538 Work out -1 + 0.45. -0.55 2630+0.3 2630.3 What is 408135 plus -0.4? 408134.6 Calculate -0.44 + 25. 24.56 Subtract 0.18 from 0.049. -0.131 Total of 2.6577 and -41. -38.3423 Put together 1524 and -100. 1424 What is 4153 minus 0.044? 4152.956 What is -380 take away 8.128? -388.128 Add together -0.023 and 28.06. 28.037 What is -0.1142 + 3976? 3975.8858 -0.034+1181.2 1181.166 0.3+-2528 -2527.7 What is 770 plus 102? 872 What is 2 minus 68.499? -66.499 Add 0.0533 and -85. -84.9467 0.95 + 1466 1466.95 What is the distance between -194 and 0.612? 194.612 Sum 2 and 10291. 10293 Work out 59 + -2. 57 Add -9.8 and -4528. -4537.8 -0.2 - -0.08514 -0.11486 What is -40320 minus 158? -40478 Sum -25.014 and -14. -39.014 Put together -548 and -0.1459. -548.1459 Put together -1 and -342. -343 What is -0.5 take away -471? 470.5 What is 3179.4 plus -0.32? 3179.08 Sum -4 and -911. -915 What is -456.455 - -0.5? -455.955 Work out -53293 - 1.86. -53294.86 -0.4+-1632 -1632.4 Total of 104 and 0.4. 104.4 Subtract -0.2 from -0.046. 0.154 What is 0.09881 - 1.96? -1.86119 Work out 8574 + 0.1. 8574.1 What is 159770 less than -5? -159775 Work out 39792 + -5. 39787 What is 97156 - 1? 97155 -0.03 + 687 686.97 Calculate 4 - 1465. -1461 Work out 62 - -1.6. 63.6 Work out 112160 + -1. 112159 What is the difference between 7 and -13338? 13345 What is 0.4 + 147? 147.4 Total of -0.27 and 81. 80.73 -4+-221574 -221578 What is 0.0708 take away 1? -0.9292 Calculate 2 - 107. -105 Sum -0.2 and -6.6224. -6.8224 Subtract 4832 from -0.87. -4832.87 What is the difference between -0.9 and 0.74? 1.64 What is 39.6 take away -0.03? 39.63 Add -144.8 and -0.1. -144.9 Work out -0.8 - 1310. -1310.8 Work out -1471 - 0.2. -1471.2 Total of 3 and 94.8. 97.8 What is -3 + 0.0193? -2.9807 What is the difference between -0.0807 and 67? 67.0807 33518 - 0.93 33517.07 -0.1 + -176753 -176753.1 What is 10002 minus 0.48? 10001.52 What is -2154 less than 0.235? 2154.235 Add -19 and -81.6. -100.6 Calculate -5832 - 0.05. -5832.05 What is 15 less than -1010? -1025 -571+-5 -576 Add together 83 and -1.477. 81.523 0.5 + 142 142.5 Sum 22.55 and 4.2. 26.75 Subtract 100 from -31175. -31275 What is -4 less than 938.1? 942.1 Put together -0.32 and -15. -15.32 0.2 + 2477 2477.2 Work out 0.5 - 3778. -3777.5 What is the difference between -0.08 and 2? 2.08 -168+3 -165 Work out -3421 - 15. -3436 Work out -1905302 - 0.4. -1905302.4 What is 0.1608 take away -0.02? 0.1808 Work out -453 - 376. -829 0.2+-1012973 -1012972.8 Sum -3 and -180024. -180027 2+-127 -125 What is 0.4 + -5771.4? -5771 Add 5 and 144444. 144449 What is -189 + -0.0254? -189.0254 What is -398 - 26375? -26773 Total of -150.9 and 0.022. -150.878 What is -127894 plus 38? -127856 What is -5.5 - 0.17517? -5.67517 What is 863 - 31.6? 831.4 Work out 0.029 + -115.1. -115.071 -71714 + 3 -71711 Add 1926 and 0.5. 1926.5 Work out -1.1 - 2179. -2180.1 What is -54 plus 281? 227 What is 0.109 less than -2050? -2050.109 -152 - -26 -126 0.7+245 245.7 What is 0.0596 take away 5981? -5980.9404 What is -4.4 + -13.5? -17.9 Work out 51.8563 - -17. 68.8563 Work out 0.06 - 397. -396.94 Work out -0.04 - 452. -452.04 What is 24 take away -892? 916 -0.4 + 4912 4911.6 Calculate 828 - -549. 1377 Work out -4704.2 - 5. -4709.2 -15+-3615 -3630 Sum -0.1691 and -0.5. -0.6691 1459 - -0.286 1459.286 Subtract 109 from 41.9. -67.1 6.1322 - -79 85.1322 -12.32 + -1 -13.32 What is 344 + 1? 345 What is 0.3 plus 10584.8? 10585.1 What is the distance between 12.3 and -4? 16.3 Total of -18265 and -30. -18295 What is 915 plus 0.1? 915.1 Put together 168058 and -0.1. 168057.9 0.003776 - 61 -60.996224 1464.6+-7 1457.6 What is 2337 plus -0.112? 2336.888 Subtract -0.22 from -603. -602.78 What is -0.2 - -0.0067014? -0.1932986 Calculate 0.81 + -1776. -1775.19 -3 - 555 -558 What is 0.214 plus 12.6? 12.814 Work out 40 + 2.34. 42.34 Calculate -47 - -33083. 33036 Work out 43650 + 3. 43653 What is 0.1 + 7.63? 7.73 Calculate -4 - 0.0472. -4.0472 What is -45555 plus -1? -45556 Sum -4580.9 and -0.17. -4581.07 What is 11 - 614? -603 What is -0.3 plus -411.3? -411.6 Work out -50.246 - -0.08. -50.166 What is the difference between 5 and 12702? 12697 -0.6 - 163.1 -163.7 What is the distance between -16 and 8.79? 24.79 What is 5 minus 209962? -209957 Calculate 0 - 3.43. -3.43 -0.1714 + -192 -192.1714 -0.05+-3.975 -4.025 What is -0.05 less than -10.9? -10.85 What is the distance between -26 and 720? 746 What is -0.1 - 321? -321.1 Subtract 0.0624 from 0.16. 0.0976 Add 0.262 and 0.02. 0.282 Add -15 and -27075.4. -27090.4 -1.25+-0.2 -1.45 What is -430.9 plus -3? -433.9 Subtract 1 from -40.27. -41.27 What is 0.2 - 37996? -37995.8 What is -8 minus -0.217? -7.783 Add together -0.6 and 0.82899. 0.22899 Add together -1268 and -11. -1279 What is 2 take away -313? 315 What is 5 plus -0.1165? 4.8835 Calculate 28 + -3030. -3002 -3 + -103.51 -106.51 Put together 0 and 0.0361. 0.0361 Calculate -1519.8 + -0.2. -1520 Add 1.54 and -3. -1.46 Sum -979.5 and -0.4. -979.9 Add together 14678 and -28. 14650 What is 16 plus 172? 188 Put together -39.05 and 1105. 1065.95 Calculate -46.8 + -9612. -9658.8 Add -3 and -0.03464. -3.03464 Calculate 751 - -15.1. 766.1 What is the distance between -2 and 2294? 2296 Subtract 495 from 0.07. -494.93 What is 0.008 - -7508? 7508.008 0.188 - -0.6 0.788 Calculate -3 + -2083. -2086 Work out -0.0439 - -24. 23.9561 What is 4 minus 51.547? -47.547 What is -1509 less than -0.07? 1508.93 What is 4704 less than -0.8? -4704.8 What is the distance between -1 and 103.6019? 104.6019 What is 18404 minus 31? 18373 Total of 1147 and 14.1. 1161.1 What is 0 less than -3.193? -3.193 Put together -12.1 and -1.9. -14 Sum -9592 and -40. -9632 What is the distance between 14 and 0.01299? 13.98701 What is 0.6 less than -237.447? -238.0
{ "pile_set_name": "DM Mathematics" }
= 5*x - 23. Calculate the common denominator of 41/25 and x. 25 Let m be -2 + 4/(-46)*5659209/24. Let h = -20506 - m. Find the common denominator of 145/6 and h. 276 What is the common denominator of -15/2794 and 1/((-8)/(-10)) - (-48)/(-96)? 5588 Let i(r) = r**2 - 2*r - 53. Let n be i(0). Calculate the common denominator of 4*2/(-48) + n/(-12) and -87/10. 20 Suppose 3*m + m + 12 = 0, 3*z + 15 = 4*m. Let d(b) = -2*b + 24. Calculate the lowest common multiple of 10 and d(z). 210 Let l = 279/56 - 37/8. Find the common denominator of 19/14 and l. 14 Suppose -3*i + 388 = 352. Suppose -n = t + 4*t - 27, 6 = -t - 4*n. Calculate the least common multiple of t and i. 12 Suppose -y + 3*y + 12 = p, -52 = -4*p + 4*y. What is the lowest common multiple of (-6)/((-18)/21)*2 and p? 14 Let d = 36187/1436 + 18/359. What is the common denominator of d and 61/20? 20 Let b = -4 - -1. Let y(w) = w - 3. Let p be y(b). What is the lowest common multiple of (-8)/(-12) - 14/p and 2? 6 Let u be ((-2)/3)/((-2)/152916). Let k = u - 200623/4. Let h = -4847/6 + k. Find the common denominator of h and -13/14. 84 What is the least common multiple of -2 + 4 - (-10146)/57 and 180? 180 Let o = 17147/3352 - -4/419. What is the common denominator of 43/16 and o? 16 Let v be (-86142)/260 + 3 + 0. Let j = v - -4116/13. Calculate the common denominator of -29/6 and j. 30 Let l = -143 + 229. Suppose l*z = 84*z + 2. What is the smallest common multiple of 7 and z? 7 Let n = 57 - -367. Find the common denominator of (-84)/n*(-35)/(-15) and -113/12. 636 Suppose h = 32 - 17. What is the lowest common multiple of h and 6? 30 Calculate the common denominator of 68/63 and -8*3702/(-4032) + (1 - 8). 252 Calculate the common denominator of -37/8 and (63/(-70))/(72/(-15)). 16 Let s(d) = 2*d**2 + 11*d + 2. Let f be (1 + -2)/(-1 - (-9)/8). Calculate the smallest common multiple of s(f) and 30. 210 Let r(h) = 5*h**2 - 6*h + 6. Let p be r(4). Let j = p - 991/16. Find the common denominator of j and 55/18. 144 Let j = 242 + -233. What is the least common multiple of j and 54? 54 Let z = 326297276 + -958188613. Let g = z - -2967361740175/4696. Let i = g - -12/587. What is the common denominator of 103/18 and i? 72 Let z be 4/10*(18 + -3). Suppose 4*m - 32 = -0*m. Calculate the smallest common multiple of m and 4/z - 22/(-3). 8 Let b = -25497 - -1376783/54. Let t = 1255/4 - 312. Find the common denominator of b and t. 108 Suppose -5*l + 3*l = -20. Let c(i) = 3*i + 39. Let n(h) = -2*h - 26. Let z(d) = 5*c(d) + 7*n(d). Calculate the smallest common multiple of l and z(7). 20 Let o be 1/4*(-690020)/(-52). Let n = o + -3318. Find the common denominator of n and 53/8. 104 Let u(i) = 2*i - 10. Let d be u(5). Suppose -4*t = -d*t - 44. Let r = 5 - 3. Calculate the least common multiple of r and t. 22 Let p be (18/12)/(6/8). Suppose 3*t = -o + 39, -p*t + 29 + 137 = 4*o. Suppose -g - 11 = 3*c - o, c + 27 = 2*g. What is the least common multiple of 18 and g? 144 Let l be -1 + (-8380)/(-8) + -1. Let k(i) = 2*i**3 + 18*i**2 + 17*i + 2. Let j be k(-12). Let q = l + j. What is the common denominator of 119/12 and q? 12 Let m(z) = 5*z + 6. Let d be m(-18). Find the common denominator of (7245/d)/(-38 + 2) and 13/6. 48 Let d be 1220/(-12) - (-1)/(-3). Find the common denominator of 80/24*d/(-32) and -2 + ((-154)/12 - -2). 24 Let z(i) = 12*i**2 + 8*i + 8. Calculate the smallest common multiple of z(-4) and 18. 504 Let y = -84241/118665 - 9/1465. What is the common denominator of y and 35/72? 648 Let q(i) = -9*i + 3. Let t be q(2). Let h = t + 17. Suppose -5*r + 18 = -h*r. Calculate the least common multiple of 4 and r. 12 Let z = 21 + -72. What is the common denominator of 73/2 and z/(-28)*160/48? 14 Let h = -62173/10 - -6229. Let n = -26 - -54. What is the common denominator of h and ((-4)/(-10))/(n/(-425))? 70 Let a be 2 + 472286/28 - 2. Let b = a - 16859. Let s = -1527/14 - -8612/77. What is the common denominator of b and s? 154 Let h be (36/45)/(2/5). Suppose -2*j = -h*p, -12 = -5*j + 3. What is the least common multiple of 4 and p? 12 Suppose -3*a - 57 - 6 = 0. Let q be (4/(-6))/(7/a). Suppose q = -r, 7*r + 54 = 4*n + 2*r. Calculate the smallest common multiple of n and 3. 33 Let l(u) = -2*u - 28. Let y be l(-9). Calculate the least common multiple of 33 and -9*(4/y)/(42/35). 33 Let k(l) = -l**3 - 11*l**2 - 11*l - 12. Let c be k(-9). Let m = 80 + c. Calculate the least common multiple of m and 8. 40 Suppose 4*d - 294 - 22 = 0. Let z = 85 - d. Calculate the lowest common multiple of z and 32. 96 Let i(q) = 2*q**2 + 8*q + 48. What is the lowest common multiple of i(-4) and 6? 48 Suppose 2*c = -4*k - 26942, -2*k - k + 5*c - 20213 = 0. Let z = k + 32974/5. Let p = -131 - z. Calculate the common denominator of p and -11/5. 5 Let v = 710449/45 - 15789. What is the common denominator of -91/20 and v? 180 What is the common denominator of 537/150 - 1 - (0 + 3) and -13/55? 550 Let i(y) = -11*y**2 + 2*y - 3. Let q be i(1). Let o be (13*1)/(1 - 0). Let h = o + q. Calculate the smallest common multiple of h and 8. 8 Let i = 2270/1221 + 1/222. Suppose -w + 2*s - 36 = 0, -11 - 16 = w + s. Calculate the common denominator of i and ((-111)/w)/(4 + -3). 110 What is the common denominator of 7/19 and -14*(42/(-72) - 3/(-9))? 38 Let q(p) = p + 23. Let v be q(-10). Suppose v*y - 440 = 132. What is the least common multiple of 20 and y? 220 Let g = 10945 - 131243/12. Calculate the common denominator of g and (-26)/5*(-125)/(-60). 12 Let g = -1243/51170 + 3/170. Let w = 4220/903 + g. What is the common denominator of w and 4/(-14) - 992/(-42)? 3 Let k = 25/4124 + -11031775/12372. Let t = k + 29335/33. Let p = 774 - 1609/2. Calculate the common denominator of t and p. 22 Suppose -3*m - 3*h - 57 = -4*m, 5*h + 116 = 2*m. Calculate the least common multiple of m and 392. 3528 Let k(d) = -21*d**2 + 527*d - 44. Suppose -3*p - 2*p = 15, -3*p = 2*j - 71. Calculate the least common multiple of k(25) and j. 120 Suppose 20 = 5*b - 10. Suppose r + 4 = 14. Suppose b*f = f + r. What is the least common multiple of f and 6? 6 Let q be 1226/264 - (-1)/(-2). Let o = 14/123 - -1625/492. Let y = o - q. Find the common denominator of y and 17/10. 110 Let d = -68315/9 - -7583. Find the common denominator of d and 38/3. 9 Let u = 26/25 - -208/425. Calculate the common denominator of u and 40/69. 1173 Suppose -3*g + 54 = -0*g. Suppose 45*k - 46*k = 81. Let p = 87 + k. What is the lowest common multiple of p and g? 18 What is the common denominator of 62/99 and -3 + (-310)/135 + (0 - -5)? 297 Let b = 17 - 0. What is the common denominator of (6/(-12))/(9/b) and (-1420)/360 - (-6)/(-2)? 18 Calculate the common denominator of 597/(-1064) + 57/(-399) and 47. 152 Let k be (-20)/(-3)*99/(-22). Let c = k + 37. Calculate the least common multiple of c and 6. 42 Let u = -59 + 69. Suppose -f = -2*f + 14. What is the lowest common multiple of u and f? 70 Let i = 131/36 - -13/4. Find the common denominator of i and 59/364. 3276 Let i = 8/1381 + 415633/8286. Let f = i - 109/3. What is the common denominator of f and 65/8? 24 Let n(s) = -s**3 - 22*s**2 + 25*s + 56. What is the smallest common multiple of 20 and n(-23)? 20 Find the common denominator of 53/40 and ((-12)/320)/(90/3975). 160 Calculate the common denominator of (4 + -2)/(-6 - 4018/(-665)) and -1 + (-4)/(96/476). 6 Let b = 26315389105605/12705441602966 + -768/759622241. Let c = 1760553669/8363 + -210517. Let v = c - b. What is the common denominator of -19/12 and v? 84 Let t(n) = 60*n**3 + 2*n**2 - 11*n + 9. What is the lowest common multiple of 120 and t(1)? 120 Suppose 14*y = 18*y + 5*y - 54. What is the least common multiple of (0 + 48)*4/6 and y? 96 Suppose -5*h - 43*z + 120 = -44*z, 4*h + 5*z = 125. Suppose -w - 3*w = 5*f - 29, 2*f - 11 = -w. What is the smallest common multiple of f and h? 25 Suppose -31 = -3*a - 13. Let n(l) = l**2 + 7*l - 2. Let q be n(-7). What is the least common multiple of 17 - (q - -1 - -2) and a? 48 Let y = -7603/7 - -1118. Let x = y - 1679/56. Find the common denominator of x and 90/(-8) + 1 - 2. 8 Suppose -2*h + 4*y - 52 = 0, -2*y + 99 = -3*h - 3*y. Calculate the common denominator of 1*h/22 + 2 and -23/9. 99 Suppose -31 = 6*y - 139. Calculate the lowest common multiple
{ "pile_set_name": "DM Mathematics" }
s prob of picking 1 a and 1 g when two letters picked without replacement from {a: 1, i: 1, g: 1}? 1/3 Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {v: 1, m: 2, w: 1, g: 1, y: 1, b: 1}. 1/21 What is prob of picking 2 c when two letters picked without replacement from {c: 10, s: 2, a: 3}? 3/7 Two letters picked without replacement from zzzjq. Give prob of picking 1 z and 1 j. 3/10 Calculate prob of picking 1 o and 1 a when two letters picked without replacement from {j: 3, a: 1, k: 1, n: 4, o: 6}. 2/35 Four letters picked without replacement from {l: 5, f: 7}. Give prob of picking 4 l. 1/99 Three letters picked without replacement from obbbbbo. Give prob of picking 3 b. 2/7 Calculate prob of picking 1 b, 1 i, and 1 e when three letters picked without replacement from eiepiieblei. 16/165 Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {a: 1, c: 1, s: 2, g: 1, y: 2}. 2/21 Three letters picked without replacement from {g: 16, u: 1, d: 3}. Give prob of picking 1 d and 2 u. 0 Calculate prob of picking 2 u when two letters picked without replacement from {d: 7, u: 6}. 5/26 Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {x: 1, t: 4, v: 1, m: 4, z: 3}. 2/13 Calculate prob of picking 1 k and 1 f when two letters picked without replacement from wweeefefkvvewweke. 1/34 Two letters picked without replacement from xffffxxlfx. What is prob of picking 1 l and 1 x? 4/45 Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {h: 3, n: 3}. 3/5 What is prob of picking 1 q, 1 l, and 1 e when three letters picked without replacement from {a: 1, e: 3, x: 4, l: 2, q: 2}? 3/55 Three letters picked without replacement from bbmmbbbnbbxbxbbxbxx. What is prob of picking 1 b and 2 m? 11/969 Calculate prob of picking 2 a and 2 j when four letters picked without replacement from aajavvavaajav. 21/715 Four letters picked without replacement from fhhvyhvyhywwiyvww. What is prob of picking 1 i, 1 h, 1 v, and 1 w? 12/595 Three letters picked without replacement from {e: 3, x: 1, k: 1, p: 1, f: 1}. Give prob of picking 2 e and 1 x. 3/35 Two letters picked without replacement from {p: 1, i: 4, q: 5, n: 1}. What is prob of picking 1 p and 1 n? 1/55 Four letters picked without replacement from {h: 4, j: 1, i: 1, d: 1, o: 1}. What is prob of picking 1 i and 3 h? 2/35 Two letters picked without replacement from owlpn. What is prob of picking 1 w and 1 n? 1/10 What is prob of picking 2 z, 1 d, and 1 s when four letters picked without replacement from zdszffwzzfszfffsfwds? 16/969 Two letters picked without replacement from {n: 11, t: 1}. Give prob of picking 1 n and 1 t. 1/6 What is prob of picking 1 d, 1 g, and 2 x when four letters picked without replacement from iexdeexxeddxxxrxgdd? 35/1292 Four letters picked without replacement from {l: 11, i: 3}. What is prob of picking 3 l and 1 i? 45/91 Calculate prob of picking 3 e and 1 s when four letters picked without replacement from {k: 1, e: 3, h: 2, s: 3, x: 2, b: 1}. 1/165 Four letters picked without replacement from dqznzrizdiiq. Give prob of picking 2 d and 2 q. 1/495 Calculate prob of picking 2 g when two letters picked without replacement from zgyyzzygz. 1/36 Two letters picked without replacement from {v: 1, u: 1, k: 3, o: 2, l: 9, f: 2}. Give prob of picking 1 f and 1 u. 2/153 Calculate prob of picking 1 f and 2 u when three letters picked without replacement from tfulu. 1/10 Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {i: 1, b: 1, z: 2, p: 2, e: 1, t: 1}. 1/14 Calculate prob of picking 1 u, 1 r, and 2 b when four letters picked without replacement from smsubmsbvvrbrbsmbvvb. 2/323 Three letters picked without replacement from {q: 3, g: 6, n: 3, b: 5}. What is prob of picking 2 q and 1 n? 9/680 Four letters picked without replacement from sxssssxssspsss. Give prob of picking 2 x, 1 s, and 1 p. 1/91 Two letters picked without replacement from {o: 3, y: 2, q: 1, h: 1}. Give prob of picking 1 h and 1 q. 1/21 Calculate prob of picking 2 f and 1 h when three letters picked without replacement from hdhzhfhhhddf. 3/110 Calculate prob of picking 1 b, 1 x, and 1 y when three letters picked without replacement from bxyxyxx. 8/35 Three letters picked without replacement from {h: 1, k: 2, x: 4, p: 7, i: 2}. What is prob of picking 1 i, 1 p, and 1 x? 1/10 Three letters picked without replacement from {w: 3, d: 1, b: 3, e: 3, c: 7, l: 1}. What is prob of picking 1 c, 1 d, and 1 b? 7/272 Three letters picked without replacement from eeeooeeoeoeeeooeeobe. Give prob of picking 1 b and 2 o. 7/380 Three letters picked without replacement from dhdhhadhh. Give prob of picking 2 h and 1 d. 5/14 Three letters picked without replacement from {p: 17, z: 2}. Give prob of picking 1 p and 2 z. 1/57 Calculate prob of picking 1 g and 3 a when four letters picked without replacement from aaggggaggg. 1/30 Four letters picked without replacement from {h: 1, t: 3, g: 1, x: 2, n: 4, m: 1}. What is prob of picking 1 x, 1 t, and 2 g? 0 Calculate prob of picking 1 x and 1 o when two letters picked without replacement from {p: 1, n: 1, d: 6, y: 5, x: 2, o: 5}. 1/19 What is prob of picking 2 y and 1 j when three letters picked without replacement from mupjupytmyum? 1/220 Calculate prob of picking 1 w and 1 b when two letters picked without replacement from pwbwjplybywp. 1/11 Three letters picked without replacement from {s: 1, b: 1, r: 5, p: 1, w: 3}. What is prob of picking 1 s, 1 p, and 1 b? 1/165 Three letters picked without replacement from ialzllualali. What is prob of picking 1 a, 1 i, and 1 u? 3/110 What is prob of picking 1 r and 1 w when two letters picked without replacement from rwrwwrrwwc? 4/9 Two letters picked without replacement from {t: 5, b: 3, g: 1, q: 1}. What is prob of picking 2 t? 2/9 Calculate prob of picking 1 b, 1 a, and 1 r when three letters picked without replacement from {b: 1, r: 11, a: 6}. 11/136 Two letters picked without replacement from {b: 1, n: 3, m: 4}. Give prob of picking 2 n. 3/28 Calculate prob of picking 4 i when four letters picked without replacement from iiiaiaiaia. 1/14 Calculate prob of picking 3 q and 1 z when four letters picked without replacement from zqbbqzbbbqbbbbqbzb. 1/255 Two letters picked without replacement from {p: 4, g: 1, k: 10, i: 3}. Give prob of picking 1 i and 1 k. 10/51 What is prob of picking 1 x, 1 m, and 1 n when three letters picked without replacement from mbjbnnnnxbnmbwbbjnmx? 3/95 Two letters picked without replacement from ssysssixxxssssyysos. What is prob of picking 2 x? 1/57 Calculate prob of picking 3 q when three letters picked without replacement from bbbbbbqbqqbb. 1/220 What is prob of picking 4 y when four letters picked without replacement from {m: 4, t: 3, d: 4, y: 6}? 3/476 Calculate prob of picking 1 a and 1 m when two letters picked without replacement from {b: 1, a: 1, u: 2, m: 1, c: 1, e: 1}. 1/21 Calculate prob of picking 1 q and 1 v when two letters picked without replacement from {v: 2, r: 3, q: 1, f: 3, w: 1}. 2/45 What is prob of picking 3 s and 1 v when four letters picked without replacement from stvt? 0 Three letters picked without replacement from nggngnnggggnsnnggggg. What is prob of picking 3 g? 11/57 Calculate prob of picking 1 k, 1 o, and 1 d when three letters picked without replacement from oukukdqd. 1/14 Calculate prob of picking 1 s and 1 i when two letters picked without replacement from sqnnqqssnnnssnsnqnsi. 7/190 Two letters picked without replacement from {f: 2, h: 10, j: 3}. What is prob of picking 2 h? 3/7 Two letters picked without replacement from sosyqqrsqqyjyqs. Give prob of picking 1 y and 1 o. 1/35 Four letters picked without replacement from oootootrodoooo. Give prob of picking 1 t, 1 o, and 2 r. 0 What is prob of picking 2 b when two letters picked without replacement from wxywybwsxbswwsxb? 1/40 Calculate prob of picking 1 z and 2 h when three letters picked without replacement from chjhjcjjjjjcczccjhb. 1/323 What is prob of picking 2 p when two letters picked without replacement from {m: 5, p: 3}? 3/28 What is prob of picking 2 i when two letters picked
{ "pile_set_name": "DM Mathematics" }
ng 1 j and 1 l? 13/51 Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {q: 4, v: 1, h: 1, s: 2, p: 4, e: 2}. 4/91 Three letters picked without replacement from fffsssss. What is prob of picking 1 f and 2 s? 15/28 Three letters picked without replacement from cyjjjjjjjjjjjy. What is prob of picking 1 j and 2 y? 11/364 Calculate prob of picking 3 c when three letters picked without replacement from ixxjcxjjpipjidd. 0 What is prob of picking 3 w when three letters picked without replacement from lllwwlwl? 1/56 Four letters picked without replacement from {o: 1, z: 1, l: 1, s: 6}. Give prob of picking 3 s and 1 l. 10/63 Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {i: 2, k: 1, n: 1, w: 1}. 1/10 Calculate prob of picking 1 k and 1 y when two letters picked without replacement from tkykt. 1/5 Calculate prob of picking 1 x and 1 w when two letters picked without replacement from xxxxxxxxxxxxxxwxxx. 1/9 Two letters picked without replacement from jyjtyvvyyjyvyytjw. Give prob of picking 1 y and 1 j. 7/34 Two letters picked without replacement from ccbcmpcmw. Give prob of picking 1 b and 1 m. 1/18 What is prob of picking 1 n and 3 m when four letters picked without replacement from mzzwmnwwnwzmewmmzzz? 5/969 Calculate prob of picking 3 j when three letters picked without replacement from jnnddddjddddjdddd. 1/680 What is prob of picking 1 h and 1 d when two letters picked without replacement from {h: 2, d: 1}? 2/3 Four letters picked without replacement from {c: 11, q: 2, k: 1, z: 1, t: 4}. Give prob of picking 2 c, 1 q, and 1 z. 55/1938 What is prob of picking 1 r and 1 m when two letters picked without replacement from {r: 1, m: 5, l: 7, o: 6}? 5/171 Calculate prob of picking 1 f, 1 a, and 1 y when three letters picked without replacement from aayamvyyvvyvaamvyaf. 10/323 Four letters picked without replacement from {p: 3, c: 6, d: 1, a: 1, g: 1, e: 1}. Give prob of picking 1 c, 1 g, 1 e, and 1 a. 6/715 What is prob of picking 2 r and 1 v when three letters picked without replacement from {p: 1, v: 1, e: 1, t: 2, r: 2, q: 1}? 1/56 Two letters picked without replacement from {f: 1, q: 2, h: 1}. What is prob of picking 2 q? 1/6 Three letters picked without replacement from {f: 1, o: 2, e: 7}. What is prob of picking 1 e, 1 o, and 1 f? 7/60 What is prob of picking 2 u and 2 s when four letters picked without replacement from ssssssssssusssssusus? 8/95 What is prob of picking 2 v when two letters picked without replacement from {f: 5, v: 3, w: 3, e: 1, t: 2, c: 1}? 1/35 Calculate prob of picking 4 c when four letters picked without replacement from ccccccccccoco. 6/13 What is prob of picking 2 l and 1 g when three letters picked without replacement from {l: 6, g: 4}? 1/2 What is prob of picking 2 z when two letters picked without replacement from nnrnmrxnxbzbxzz? 1/35 Three letters picked without replacement from {k: 1, z: 5, g: 1, j: 4, m: 3}. Give prob of picking 1 j, 1 g, and 1 m. 3/91 Calculate prob of picking 2 g and 2 h when four letters picked without replacement from hgzgghzg. 3/35 Two letters picked without replacement from hxcccchchxh. What is prob of picking 1 x and 1 c? 2/11 Two letters picked without replacement from {e: 2, h: 18}. What is prob of picking 1 h and 1 e? 18/95 Two letters picked without replacement from rrzfcdyfy. What is prob of picking 1 y and 1 r? 1/9 Three letters picked without replacement from {a: 4, f: 3, i: 5}. What is prob of picking 3 i? 1/22 Two letters picked without replacement from {b: 6, t: 2}. What is prob of picking 1 t and 1 b? 3/7 What is prob of picking 1 z and 1 v when two letters picked without replacement from {z: 4, c: 5, v: 1}? 4/45 What is prob of picking 1 k and 1 v when two letters picked without replacement from ssvppsssssskvs? 2/91 What is prob of picking 1 t and 1 n when two letters picked without replacement from tana? 1/6 What is prob of picking 1 n and 2 u when three letters picked without replacement from {j: 2, s: 5, n: 3, f: 2, u: 3}? 9/455 Four letters picked without replacement from {m: 11, t: 3}. Give prob of picking 1 m and 3 t. 1/91 Two letters picked without replacement from kbfckkctkfkkfboffkf. Give prob of picking 1 c and 1 k. 14/171 Three letters picked without replacement from {o: 1, j: 2, w: 1, v: 1}. Give prob of picking 2 j and 1 v. 1/10 What is prob of picking 2 m when two letters picked without replacement from mmrmrmdmr? 5/18 Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {i: 10, x: 4}. 40/91 Calculate prob of picking 2 p and 1 i when three letters picked without replacement from iimippimpipmim. 9/91 Two letters picked without replacement from {o: 3, v: 1, w: 1, s: 6, q: 2}. Give prob of picking 1 v and 1 q. 1/39 What is prob of picking 2 b and 1 k when three letters picked without replacement from {w: 2, b: 3, k: 1, r: 13}? 1/323 Calculate prob of picking 2 y when two letters picked without replacement from {c: 1, y: 7}. 3/4 Calculate prob of picking 1 w and 1 m when two letters picked without replacement from qwcmc. 1/10 Two letters picked without replacement from {w: 2, d: 1, g: 8, o: 1, q: 4}. Give prob of picking 1 q and 1 d. 1/30 Four letters picked without replacement from {y: 3, m: 5}. Give prob of picking 4 m. 1/14 What is prob of picking 2 c and 2 d when four letters picked without replacement from {c: 4, t: 1, d: 8, e: 5}? 14/255 What is prob of picking 1 c and 1 n when two letters picked without replacement from naaqcaaaananqanacn? 10/153 Two letters picked without replacement from {v: 2, b: 2, a: 1, w: 1}. What is prob of picking 2 v? 1/15 Calculate prob of picking 1 w and 1 z when two letters picked without replacement from zweebzwbbbbcbbbbexxb. 2/95 What is prob of picking 1 b and 2 x when three letters picked without replacement from {a: 2, x: 2, b: 2, f: 3}? 1/42 Three letters picked without replacement from yuuuyuyyuumuymu. What is prob of picking 3 y? 2/91 What is prob of picking 1 s and 1 m when two letters picked without replacement from zqmqzzbsbzssmbmbmzb? 4/57 What is prob of picking 2 x when two letters picked without replacement from {c: 3, x: 4, d: 4}? 6/55 What is prob of picking 1 r, 1 g, and 1 z when three letters picked without replacement from gggggggzgrg? 3/55 What is prob of picking 2 j, 1 y, and 1 h when four letters picked without replacement from {i: 3, q: 3, j: 2, y: 5, h: 3}? 3/364 Three letters picked without replacement from {o: 3, x: 4}. What is prob of picking 3 x? 4/35 Two letters picked without replacement from lvclhllggghghlh. What is prob of picking 1 g and 1 h? 16/105 Three letters picked without replacement from xdkojmd. What is prob of picking 1 x, 1 d, and 1 m? 2/35 What is prob of picking 1 d and 1 v when two letters picked without replacement from vdvddzdvvvdvdd? 6/13 Three letters picked without replacement from wzwwb. Give prob of picking 1 b and 2 w. 3/10 Two letters picked without replacement from {p: 4, q: 3, w: 1}. What is prob of picking 1 p and 1 w? 1/7 What is prob of picking 4 y when four letters picked without replacement from yeeeyyyeyyeee? 3/143 Three letters picked without replacement from {w: 8, l: 3}. What is prob of picking 3 l? 1/165 What is prob of picking 1 q, 1 n, and 1 d when three letters picked without replacement from nssdnqggssg? 2/165 Calculate prob of picking 2 v when two letters picked without replacement from {v: 2, p: 3}. 1/10 Calculate prob of picking 2 u when two letters picked without replacement from {x: 1, u: 2, n: 1, w: 1}. 1/10 Three letters picked without replacement from {k: 4, q: 4, p: 2, g: 2}. What is prob of picking 1 q, 1 k, and 1 p? 8/55 What is prob of picking 1 i and 1 b when two letters picked without replacement from {p: 3, m: 4, b: 2, i: 1, l: 1}? 2/55 Calculate prob of picking 2 n and 2 m when four letters picked without replacement from xxznzxmxxxnmxnznzxn. 5/1938 Two letters picked without replacement from {r: 2, x: 2, z: 7, n: 1}. What is prob of picking 2 z? 7/22 Two letters picked without replacement from {l: 6, p: 3, v: 6}. What is prob of picking 1 v and 1 p? 6/35 What is prob of picking 1 i and 2 b when three letters picked without replacement f
{ "pile_set_name": "DM Mathematics" }
2*o**2 - o - 2. Let n be h(3). Suppose -w*r**2 - 16 + n*r + 2*r**2 + 4*r + 12*r = 0. What is r? 1, 4 What is j in 0 + 2/7*j**2 - 4/7*j + 4/7*j**3 - 2/7*j**4 = 0? -1, 0, 1, 2 Let j(g) be the first derivative of -32*g**3/27 - 29*g**2/9 + 4*g/3 + 192. Solve j(h) = 0 for h. -2, 3/16 Let i(t) = t**3 + 7*t**2 - 19*t - 4. Let j be i(-9). Let b be ((-8)/(-20)*3)/(j + -4). Suppose 14/5*y + 4/5 + b*y**2 = 0. Calculate y. -2, -1/3 Let q be 4 - ((-5)/15)/((-2)/12). Suppose 0 - 4 = -q*c. Factor -1/2 - 3/4*v**c + 1/4*v**3 - 5/4*v + 1/4*v**4. (v - 2)*(v + 1)**3/4 What is m in -9/2*m**2 + 0 + 9/2*m**4 + 3/2*m**5 + 3/2*m**3 - 3*m = 0? -2, -1, 0, 1 Suppose -5*v = x + 24, -5*x = -0*x + 2*v + 5. Determine u so that 2 - x - 5 - 2*u**2 - 14*u - 4*u**2 = 0. -2, -1/3 Suppose 2*r = -5*a - 12, -11*r = -6*r + a - 16. Let u(y) be the second derivative of -1/12*y**r - 3*y + 0*y**2 + 0 + 1/3*y**3. Factor u(c). -c*(c - 2) Let w(s) be the first derivative of 0*s**3 + 5 - 2/3*s**6 + 0*s**2 + 0*s + 0*s**5 + s**4. Factor w(j). -4*j**3*(j - 1)*(j + 1) Let j(r) be the third derivative of -r**7/280 - r**6/40 - r**5/16 - r**4/16 + 81*r**2 - 1. Factor j(u). -3*u*(u + 1)**2*(u + 2)/4 Let 281 + 239 - 560 + 5*t**3 + 10*t + 25*t**2 = 0. What is t? -4, -2, 1 Suppose 7*g - 1 - 20 = 0. Let z(u) be the first derivative of -2*u**3 + 12 - u**2 + 4*u**2 + 0*u + g*u**3 + 3*u. Factor z(l). 3*(l + 1)**2 Let y = 63592/5 + -12718. Determine z so that 0 + y*z**2 + 0*z + 2/15*z**3 = 0. -3, 0 Let l be (-20)/140 + 36/7. Let s(a) be the third derivative of -2/5*a**4 + 0 + 49/300*a**6 + 6*a**2 + 0*a + 7/50*a**l + 4/15*a**3. Find t such that s(t) = 0. -1, 2/7 Let q be 6/(-11) + (-1688)/(-110) + (-1339)/103. Find x such that 0*x**2 + 6/5 + 3/5*x**3 - q*x = 0. -2, 1 Let b be ((-140)/(-25))/(0 + 2/10). Let s be 6/28 + b/98. Determine m, given that -11/4*m**2 + s*m - 19/4*m**4 + 11/2*m**3 + 3/2*m**5 + 0 = 0. 0, 1/2, 2/3, 1 Let c be -6 + (-108)/(-21) + 1. Factor 0 + 0*v - 1/7*v**2 + c*v**3. v**2*(v - 1)/7 Let i = -581/304 - -23/16. Let g = 31/95 - i. Factor -14/5*r + g*r**2 + 6/5. 2*(r - 3)*(2*r - 1)/5 Let g(y) be the third derivative of 81/4*y**3 + 0 + 1/40*y**5 + 0*y + 9/8*y**4 - 33*y**2. Factor g(l). 3*(l + 9)**2/2 Suppose 4*a = 4*g + 8, -5*g + 2*a + 30 = 7*a. Let p(y) be the first derivative of 1/3*y - 5 + 1/12*y**4 + 1/3*y**3 + 1/2*y**g. Determine v so that p(v) = 0. -1 Let b(v) be the first derivative of 2*v**5/85 - v**4/34 - 6*v**3/17 + 9*v**2/17 - 812. Let b(u) = 0. Calculate u. -3, 0, 1, 3 Solve 8/3*q - 22/3*q**4 - 2*q**3 + 18*q**2 + 2*q**5 - 8 = 0 for q. -1, 2/3, 2, 3 Determine d, given that -7/5*d**4 - 32/5*d**2 + 4/5*d + 29/5*d**3 + 0 = 0. 0, 1/7, 2 Let d(h) be the first derivative of 55*h**3/9 + 125*h**2/3 + 40*h + 165. Suppose d(w) = 0. Calculate w. -4, -6/11 Let t(k) = 4*k**3 + 184*k**2 + 334*k + 187. Let l(x) = -x**3 - 61*x**2 - 111*x - 63. Let a(w) = -11*l(w) - 4*t(w). Factor a(q). -5*(q + 1)**2*(q + 11) Let x(u) = u**3 - 6*u**2 + 10*u - 4. Let c be x(4). Suppose -5*i = 4*k + 6, 12 = -2*i - 5*k - c. Solve -1/2*m**i - 1/2*m + 1 = 0 for m. -2, 1 Let h(b) be the first derivative of b**3/9 + 49*b**2/3 + 2401*b/3 - 11. Factor h(a). (a + 49)**2/3 Suppose 10*p = 3*p + 14. Let x be (-70)/(-8)*6/15 - p. Determine v so that -x*v**3 + 3/4*v**2 + 0*v + 3/4*v**4 + 0 = 0. 0, 1 Let a(y) = y**3 + 4*y**2 + 4. Let t be a(-4). Let f be 1 + (t - (1 + -1)). Factor -5/3*x**3 - 4/3 + 8/3*x - 1/3*x**2 + 1/3*x**f + 1/3*x**4. (x - 1)**3*(x + 2)**2/3 Let u(f) be the first derivative of -3*f**8/616 - f**7/165 + f**6/330 + 7*f**2/2 + 8. Let s(w) be the second derivative of u(w). Suppose s(l) = 0. Calculate l. -1, 0, 2/9 Let -914*d**2 + 457*d**2 + 144 + 453*d**2 = 0. Calculate d. -6, 6 Let i(s) = 4*s**2 + 86*s - 100. Let y(z) = -z**2 - 29*z + 33. Let h(o) = -3*i(o) - 10*y(o). Factor h(v). -2*(v - 15)*(v - 1) Let i(x) be the first derivative of x**4 + 4*x**3/3 - 4*x**2 - 23. Suppose i(y) = 0. What is y? -2, 0, 1 Factor 121 + 1/4*m**2 + 11*m. (m + 22)**2/4 Suppose 45*b = 67 + 68. Let l(q) be the first derivative of -25/6*q**2 - 2*q - 4/3*q**b - 10 + 7/12*q**4. Factor l(r). (r - 3)*(r + 1)*(7*r + 2)/3 Let v(h) = -h**3 + 4*h**2 - h - 3. Let k be v(3). Let r(l) = l**3 + l**2 + 1. Let j(f) = -7*f**3 + f**2 - 2*f - 4. Let q(i) = k*j(i) + 12*r(i). Factor q(d). -3*d*(d - 1)*(3*d - 2) Let n(r) = -15*r**2 - 33*r**3 - 3 + 38*r**3 + 8 - 25*r. Let t(i) = -5*i**3 + 15*i**2 + 26*i - 6. Let s(q) = -6*n(q) - 5*t(q). Factor s(z). -5*z*(z - 4)*(z + 1) Let -12005 - 245*u - 5/4*u**2 = 0. What is u? -98 Let h be 2/8 - 1430/(-1320). Find c such that 4*c**3 + 0 - 4/3*c**5 + 8/3*c + h*c**4 - 20/3*c**2 = 0. -2, 0, 1 Find v such that 4/3*v**4 - 8*v + 52/3*v**2 + 0 - 32/3*v**3 = 0. 0, 1, 6 Factor 48 - 22*i**3 - 18 + 23*i**3 + 16*i**2 + 77*i + 68. (i + 2)*(i + 7)**2 Solve -20*q + 4/7*q**2 + 0 = 0. 0, 35 Let z(g) = 3*g + 9. Let o be z(-6). Let f be (-51)/o - (-2)/(-3). What is y in -3*y - 70 + f*y + 2*y**2 + 66 = 0? -2, 1 Let q(d) be the second derivative of d**7/5040 - d**6/720 + 11*d**4/12 - 35*d. Let p(i) be the third derivative of q(i). Factor p(g). g*(g - 2)/2 Suppose 4*r + y = 6*y + 56, -19 = -3*r - 2*y. Let h(m) = 2*m**2 + 15*m - 7. Let f(q) = -3*q**2 - 30*q + 15. Let l(o) = r*h(o) + 5*f(o). Factor l(j). 3*(j - 4)*(j - 1) Let t be ((-24)/(-8) - 43)/(-18). Factor -4/9 - 7/3*w**2 + t*w. -(3*w - 2)*(7*w - 2)/9 Let l(s) be the first derivative of 13/42*s**4 + 1/105*s**6 + 4/7*s**2 - 4/7*s**3 - 3/35*s**5 + 8 - s. Let x(t) be the first derivative of l(t). Factor x(v). 2*(v - 2)**2*(v - 1)**2/7 Let l(p) be the third derivative of -1/8*p**4 - 1/20*p**6 + 0*p**3 + 3/20*p**5 + 4*p**2 + 0*p + 0. Factor l(r). -3*r*(r - 1)*(2*r - 1) Find f such that -5*f**4 + 520*f**3 - 1621*f**3 + 458*f**3 - 1275*f**2 - 5125*f + 508*f**3 - 7500 = 0. -12, -5 Let u(f) = -f**2 - 7*f + 13. Let v be u(-8). Find h, given that -2*h**4 + 3*h**2 + 9*h + 6*h**3 - 15*h + 4 - v*h**2 = 0. -1, 1, 2 Suppose s + 11 = 2*t, -2*s = 3*t - 2 + 3. Factor 310 + 20*l**4 - 15*l**5 - 5*l**t - 310. -5*l**3*(l - 1)*(3*l - 1) Suppose -1 + 0 = -j + a, -a = 3*j + 1. Suppose 4*w = 2*d + d, 3*d = j. Let w*n - 6/5*n**4 - 24/5*n**3 + 0 - 8/5*n**2 + 2*n**5 = 0. Calculate n. -1, -2/5, 0, 2 Let o(y) be the first derivative of 4/3*y**4 + 0*y**2 + 0*y + 1/180*y**6 + 8 - 2/15*y**5 - 5/3*y**3. Let f(j) be the third derivative of o(j). Factor f(x). 2*(x - 4)**2 Let y = 71 + -35. Factor y*n**3 + n**4 + 10*n - 51*n**3 - 6*n**4 + 5*n**2 + 5*n**5. 5*n*(n - 2)*(n - 1)*(n + 1)**2 Let j(o) = 5*o**2 - 4*o - 69. Let i(p) = 11*p**2 - 10*p - 141. Let x(l) = -3*i(l) + 7*j(l). Factor x(d). 2*(d - 5)*(d + 6) Let d = 34 - 28. Find a, given that -4*a**3 + 3*a**3 + 4*a**4 + 3*a**3 + d*a**3 = 0. -2, 0 Let v be (-21)/(-28)*(1 + -1 + -2 - -6). Let j be (-2)/24*(-16)/6. Factor 4/3*w + 32/9*w**4 + 2/9*w**2 - 16/3*w**v + j. 2*(w - 1)**2*(4*w + 1)**2/9 Suppose 3*v - 2*z - 117 = 93, -3*v + 210 = -4*z. Let x be 6/(-63)*15*v/(-8). Factor 0 - 10*k**2 + x*k**3 + 2*k. k*(5*k - 2)**2/2 Let t = 30 - 28. Factor -13*f**4 - f**3 + t*f**2 - 5*f**3 + 3*f**3 + 14*f**4. f**2*(f - 2)*(f - 1) Let f(w) be the second derivative of -w**5/80 - 7*w**4/48 + w**3/24 + 7*w**2/8 - 3*w - 13. Factor f(a). -(a - 1)*(a + 1)*(a + 7)/4 Let m be 63/30 + (7 - 45/5). Let p(t) be the second derivative of m*t**2 + 1/60*t**4 - 1/15*t**3 + 0 + 6*t. Factor p(k). (k - 1)**2/5 Factor 5*c**2 - 121 - 401 - 500*c + 17. 5*(c - 101)*(c + 1) Let j(l) be the third derivative of -l**6/900 + l**5/150 - l**4/60 - 7*l**3/6 + 14*l**2. Let s(y) be the first derivative of j(y). Factor s(m). -2*(m - 1)**2/5 Let w(p) be the first derivative of p**5/80 - 3*p**4/32 + p**3/4 + 11*p**2/2 - 5. Let g(h) be the second derivative of w(h). Determine m, given that g(m) = 0. 1, 2 Find n, given that -57*n + 24*n - 5 - 16*n**3 + 1 - 72*n**2 = 0. -4, -1/4 Let h(r) be the second derivative of -r**6/180 + 7*r**5/60 - 13*r**4/72 + 62*r - 2. Suppose h(m) = 0. Calculate m. 0, 1, 13 Suppose -4*f = -6*t + 2*t + 24, f = -t + 14. Suppose -1 = 3*r - t. Determine b so that 2*b + r*b**2 + 2 + b - 2*b**2 = 0. -2, -1 Let o = 6369137/551993 + 1/42461. Suppose -30/13*y**2 + 2/13*y**3 - 250/13 + o*y = 0. What is y? 5 Let m(j) be the third derivative of -j**6/24 + 13*j**5/12 + 4*j**2 + 7. Find c, given that m(c) = 0. 0, 13
{ "pile_set_name": "DM Mathematics" }
e (-5)/l + 166/12. Calculate the greatest common factor of 2 and i. 2 Let t(a) = a**2 + 6*a + 7. Let g be t(-3). Let l be 1 + g/3 - 32692/(-132). Calculate the highest common divisor of l and 62. 62 Let g(t) = t**2 + 3*t + 2. Let a be g(-4). Let b be ((-120)/(-75))/((-3)/(-15)). Let m be 72*(16/3)/b. What is the highest common factor of a and m? 6 Suppose -l + 2*b = -27, -b = 2*l - 4*b - 54. Let t = 444 - 429. Let c be (-486)/t*-5*5/10. What is the greatest common divisor of l and c? 27 Suppose -z + 41 + 17 = 2*b, 23 = z - 5*b. Let x = -511 - -288. Let l = x + 343. Calculate the greatest common factor of z and l. 24 Suppose 4*p = -2*z + 435 - 347, -4*p - 5*z = -112. What is the greatest common divisor of p and 1314? 18 Let p = -4689 + 4745. Calculate the highest common divisor of p and 308. 28 Let p be (13/2)/((-53)/(-1378)). Let v be p/19 + (-84)/(-798). Calculate the highest common factor of v and 981. 9 Suppose -10 = -q - u, -3*q - 4*u + 195 = 162. What is the greatest common divisor of 3941 and q? 7 Suppose -2*t = -x + 24, 30*x = 31*x + 4*t - 24. Calculate the greatest common divisor of x and 780. 12 Let r(d) = d**3 - d**2 - 3*d + 3. Let p be r(4). Let w(n) = -2*n**2 + 61*n + 54. Let q be w(31). Let i = p - q. What is the greatest common divisor of 80 and i? 16 Suppose -2*n - 16 = -10*n. Suppose -n*x + 38 = -4*g, 0 = 4*x + 4*g - 7 - 69. What is the highest common divisor of x and 152? 19 Let m be ((-35)/7 - -4)/((-2)/(-6)). Let h be (3/m + -4)*-1. Suppose -43 = -2*f + h*o, -4*f + 11 + 80 = -5*o. What is the highest common divisor of f and 72? 24 Suppose 5*f - z - 226 = 0, 131*f - 175 = 127*f - 5*z. Calculate the highest common divisor of 3303 and f. 9 Suppose -174*z + 40394 = -70966. What is the greatest common divisor of z and 5? 5 Let j be ((-2839)/(-334))/(1/114). Calculate the highest common divisor of j and 95. 19 Let y = 21896 + -21171. Calculate the highest common factor of y and 435. 145 Let r = -250 - -242. Let c(o) = -o**3 - 7*o**2 + 6*o + 29. Let f be c(r). Calculate the highest common divisor of 60 and f. 15 Let g(h) = -h**3 - 4*h**2 - 6*h - 20. Let r(f) = -f**3 - 40*f**2 + 2*f + 74. Let d be r(-40). Let n be g(d). Calculate the highest common divisor of 16 and n. 8 Suppose -5*n - 825 = -2*q, -1412*q = -1415*q + 5*n + 1225. Calculate the highest common divisor of 208 and q. 16 Let l be 2/(-14) - ((-267)/7)/(-50 - -51). Calculate the greatest common factor of l and 6802. 38 Let k be (-110)/33*(-6)/4. Suppose 58 = -k*i + 433. Let s(m) = 13*m**2 + 2*m - 6. Let o be s(2). What is the highest common divisor of o and i? 25 Suppose 2*d - 23 = 373. Suppose -5*r + 2*r = -d. Suppose 5*o = 9*o - 176. Calculate the greatest common divisor of o and r. 22 Suppose 2*k - 3*k + 330 = 0. Suppose -4*x - 52 = 0, -104*o + 191 = -103*o - 13*x. What is the greatest common divisor of k and o? 22 Suppose y - r = 3*y - 579, 3*y - 858 = 2*r. Suppose 3*x - 2*w = 287, -6*x + y = -3*x - 3*w. Let n = x + -72. Calculate the greatest common divisor of 253 and n. 23 Let t be (5 + -287)/((-21)/(-70)*-5). Calculate the greatest common divisor of t and 15604. 188 Suppose 3*v - 39885 = -3*z, 3*v + 630 + 12657 = z. What is the highest common factor of z and 63? 63 Let r = -30 + 55. Suppose -r*b + 169 = -6. Let j be (-2 - -5) + -2 - 0. Calculate the greatest common divisor of j and b. 1 Let r be (-2 - -3)*(4 - -1). Let z be r - 4/(4/3). What is the highest common factor of z and 16? 2 Let o = 4 - 1. Suppose o*s + 0*s = 4*b - 40, 50 = 5*b - 5*s. Suppose 0 = 5*r - 5*i - 670, 3*r + 5*i = 412 - 42. What is the greatest common divisor of b and r? 10 Suppose -49*j + 185 = -44*j. Suppose -3*g + j = -47. What is the highest common divisor of g and 12? 4 Suppose 10*u - 4 = -4*m + 8*u, -5*m + 5*u + 5 = 0. What is the greatest common divisor of m and 73? 1 Let f(m) = 4*m - 2. Let a be f(3). Suppose -2 = h + o, -5*o = -4*h - 39 - 14. Let r be (-45)/h - (-60)/(-140). What is the greatest common divisor of a and r? 2 Suppose -25*q + 656 = 5*a - 21*q, 0 = -4*a - 5*q + 532. Calculate the highest common divisor of a and 56. 8 Let x(f) = f**3 - 2*f**2 - 6*f + 7. Let r be x(5). Let d be (-23)/((-46)/348) - (8 - 12/4). What is the highest common factor of r and d? 13 Let o be ((-5)/15)/(4/(-48)). Suppose o*z - b = 583, -b + 2 = -3. Calculate the greatest common divisor of 63 and z. 21 Suppose 3*z - 3*w = 354, -4*z + 482 = -0*z + w. Let r = z + -79. Let c = 52 + r. Calculate the highest common factor of 62 and c. 31 Suppose 4*a - 2*a = -5*o - 5, 4*o = a - 17. Suppose 0 = -a*j - 25, m - 3*j = -5 + 70. Let z = 57 - m. Calculate the greatest common divisor of 35 and z. 7 Let i be (((-50)/(-15))/2)/(2/12). Let v be 6/i + 188/20. What is the greatest common factor of 50 and v? 10 Let c = -6307 + 6335. What is the highest common divisor of 41062 and c? 14 Suppose -29*o + 432 + 641 = 0. What is the greatest common divisor of 1147 and o? 37 Let l = -1421 - -1427. Suppose 4*a = 74 + 10. What is the greatest common factor of l and a? 3 Let a = -6623 - -6644. What is the highest common divisor of 33012 and a? 21 Let u(i) = 14*i**3 + 2*i**2 - 7*i + 5. Let w be u(5). Let c be w/90 + -1*(-2)/6. What is the greatest common divisor of c and 160? 20 Suppose 29*f - 25*f = i + 1484, -3*i - 360 = -f. What is the greatest common divisor of f and 7750? 62 Suppose 412 = v - 2*k, 1271 = 3*v + 64*k - 63*k. What is the greatest common divisor of v and 10761? 211 Suppose -n + 3*g = -143, -5*n = -9*g + g - 743. Suppose 4*t + 0*t - 12 = 0, 5*t = j - 109. What is the greatest common factor of j and n? 31 Let n be (-10740)/(-105) + (-1)/(-14)*-4. Let g(w) = -15*w - 7. Let j be g(-5). What is the greatest common factor of j and n? 34 Suppose p = -585*v + 590*v + 75, 3*v = -2*p + 72. Let u be (-2 - 170/(-4))*2. Calculate the highest common divisor of p and u. 9 Let z = -225 + 227. Suppose -z*k + 116 = -14. Calculate the greatest common divisor of k and 5. 5 Let s be -1 + 1 - (-1 - 1). Let u be -8 + -9 - (-8 + 1). Let y be (-2)/(-10) - (u + 234/(-30)). What is the highest common factor of y and s? 2 Suppose -548 + 116 = -4*s. Let j be 12190/150 - 356/1335. Calculate the greatest common divisor of j and s. 27 Let v be ((-1254)/110)/((-5)/25). What is the highest common factor of v and 931? 19 Let o = 53 - 36. Let f(q) = 20*q + 8. Let x(c) = -78*c - 30. Let u(m) = 21*f(m) + 5*x(m). Let i be u(o). Calculate the greatest common divisor of 48 and i. 48 Let m(z) = -26 + 19 + 25 - 3*z + 15 + 8*z. Let v be m(20). Calculate the greatest common divisor of 21 and v. 7 Let k be (35/14)/((-5)/(-6)). Suppose -h + 0*h = z - 8, 20 = k*z + 2*h. What is the highest common factor of z and 32? 4 Let b(g) = -184*g + 1. Let i be b(-6). Let p(k) = 2011*k + 14142. Let t be p(-7). Calculate the highest common divisor of i and t. 65 Let v(w) = -225*w - 2244. Let z be v(-10). Calculate the greatest common factor of 3378 and z. 6 Let h = -45 + 51. Let a(r) = -6*r - 6. Let z(q) = -q - 14. Let c be z(-6). Let l be a(c). Calculate the highest common divisor of l and h. 6 Suppose -4*h = -b - 3*h + 1, -3*h = -2*b. Let l(t) = -1112*t - 8773. Let o be l(-8). Calculate the greatest common divisor of b and o. 3 Let f = 5900 + -5140. What is the greatest common divisor of 280 and f? 40 Let c(w) = -33*w + 266. Let r be c(8). Suppose l - 425 = -4*g + r*l, -3*g = 5*l - 313. What is the highest common factor of 2 and g? 2 Let d(n) = 2*n**2 + 61*n + 134. Let z be d(-30). Let u = 42 + -29. Let h = 13 + u. What is the highest common divisor of z and h? 26 Let c = 23 - 18. Let n(w) = w**2 + 12*w + 23. Let u be n(-7). Let j = -10 - u. What is the highest common factor of c and j? 1 Suppose -4*x + 26 - 38 = -c, -c - 5*x + 30 = 0. Calculate the highest common factor of c and 125. 5 Suppose -24*a - 19*a = 31*a - 111518. Calculate the highest common divisor of a and 33. 11 Suppose 0 = -4*m - 3*p - 17, -m + 2*p + p + 7 = 0. Let t be (2 - (5 + 1)) + (m - -32). What is the highest common factor of t and 2? 2 Let z(x) = -6*x**2 + 8*x - 13. Let w be z(2). Let r = -20 - w. What is the greatest common divisor of 2 and r? 1 Suppose v + 0*x = 3*x - 15, -2*x = 2*v - 10. Suppose 65*w - 75*w = -1400. Suppose p - w = -v*p. Calculate the greatest common factor of p and 56. 28 Let
{ "pile_set_name": "DM Mathematics" }
2/2 + 323. Find the second derivative of n(x) wrt x. 1854*x Find the third derivative of -14*x**5 - 583*x**2 - 11*x**5 + 14*x**5 + 124*x**2 - 18*x**5 wrt x. -1740*x**2 Let d(r) = 0 - 3 - 8 + 3*r - 2. Let a be d(6). Differentiate g - 3 + 2 - 1 - a wrt g. 1 Suppose a - 4 = -2*v, -8 = -4*v - 3*a - 2*a. Suppose 3*p - 43 = -t + 77, -v*t = 3*p - 120. What is the second derivative of 42*l - p*l + 8*l**5 - 2*l**5 wrt l? 120*l**3 Let k(q) = -6*q**2 + q - 2. Let m(g) = -34*g**2 + g - 124. Let h(l) = 4*k(l) - m(l). Differentiate h(t) with respect to t. 20*t + 3 Let p(j) = 65*j**3 - 4*j**2 + 334*j - 15. Let a(f) = 33*f**3 - 2*f**2 + 167*f - 6. Let b(i) = 5*a(i) - 2*p(i). What is the second derivative of b(v) wrt v? 210*v - 4 Let x(z) be the first derivative of 199*z**4/4 + 257*z**3/3 - 272. What is the third derivative of x(s) wrt s? 1194 Let f(w) = -w - 4. Let b be ((-3)/(-2))/(3/(-12)). Let d be f(b). What is the third derivative of 0*n**2 - 12 - 2*n**d + 12 - 8*n**5 wrt n? -480*n**2 Find the second derivative of 165*n + 17*n**2 + 31*n**4 + 10*n**2 - 102*n**4 - 27*n**2 wrt n. -852*n**2 Suppose 0*t - 3*t - 84 = -3*s, 5*s = 3*t + 92. Let c be (3/(-9))/(2/t). Find the second derivative of -2*f**4 + f**4 + f + 5*f**c wrt f. 48*f**2 What is the third derivative of 199*x**4 - 21*x**4 - 88*x**2 - 135*x**2 wrt x? 4272*x Let o be 1/(-2) - (-1)/2. Suppose 28*v - 30 = 18*v. Find the second derivative of v*r**2 - 4*r**2 + 11*r + o*r wrt r. -2 Let n(h) = -h**2 - 10*h - 19. Let u be n(-6). Find the second derivative of 0*l**5 - 57*l - 41*l - l**u + 88*l wrt l. -20*l**3 Find the third derivative of 106 - 25*u**6 + 101*u**2 - 108 + 221*u**6 wrt u. 23520*u**3 What is the derivative of 66 + 118*t**2 + 25*t**2 + 17 + 54*t**2 - 3*t**2 wrt t? 388*t What is the second derivative of -126*w + 52*w + 9*w**2 + 44*w**2 wrt w? 106 Let n(l) = 234*l**3 + 9*l - 315. Let s(k) = -116*k**3 - 4*k + 157. Let z(v) = -4*n(v) - 9*s(v). What is the derivative of z(o) wrt o? 324*o**2 Let p = -19 - -14. Let m be ((-3)/(-5))/((-1)/p). What is the second derivative of m*w - w + 2*w + 0*w + 7*w**3 wrt w? 42*w Let p(a) = 6*a + 23. Let v(x) = x + 4. Let b be v(1). Let l(g) = -g - 1. Let c(f) = b*l(f) + p(f). Find the first derivative of c(n) wrt n. 1 Suppose -3 - 3 = 2*l. Let j(r) = 14*r + 3. Let z(w) = w. Let k(o) = l*z(o) - j(o). Differentiate k(y) with respect to y. -17 Let h(a) be the second derivative of 67*a**5/20 + 16*a**3/3 - a - 43. What is the second derivative of h(y) wrt y? 402*y Let u be -1 - (-2 + -1 + 3 - 4). Find the second derivative of 5*c**2 - u*c - 45*c**2 - 7*c + 35*c wrt c. -80 Let q(w) = 188*w**3 - 6*w**2 + 59*w - 8. Let m(y) = 187*y**3 - 5*y**2 + 56*y - 7. Let s(l) = 6*m(l) - 5*q(l). What is the second derivative of s(t) wrt t? 1092*t What is the third derivative of -168*m**3 + 212*m**2 + 35*m**2 - 22*m**2 wrt m? -1008 Let j = 77 + -68. Find the second derivative of 2*n - 5*n**3 - 13*n**3 - j*n + 6*n**3 wrt n. -72*n Suppose 4*i - 5*x = 29, 0*i - 5*x = 4*i - 59. What is the third derivative of 16*q**3 + 21*q**2 + i*q**3 + 0*q**2 wrt q? 162 Let g = 50 - 55. Let t(h) = 15*h - 24. Let n(p) = -15*p + 23. Let i(w) = g*t(w) - 6*n(w). What is the first derivative of i(d) wrt d? 15 Let l(m) be the first derivative of 18*m**3 + 191*m**2 - 363. Find the second derivative of l(d) wrt d. 108 Suppose -30*b + 44888 = -22*b. Differentiate -10*h**3 + 5611*h - 9 - b*h wrt h. -30*h**2 Let x(h) be the first derivative of -3*h**5/5 + h**2 - 5*h - 48. Differentiate x(r) with respect to r. -12*r**3 + 2 Let a = -391 + 395. Let x(n) be the first derivative of 0*n - 5/4*n**a + 0*n**2 + 2/3*n**3 + 1. What is the third derivative of x(j) wrt j? -30 Find the third derivative of 75*s**3 - 87 + 1009*s - 2019*s - 5*s**3 + 1010*s + s**2 wrt s. 420 Let r(y) = -25*y**3 + 23*y**2. Let x(h) = 25*h**3 - 22*h**2. Suppose 5*c - 6*c = -5. Let u(o) = c*r(o) + 6*x(o). What is the third derivative of u(a) wrt a? 150 Let h(z) = z. Let o be h(2). Find the third derivative of 2 + 14*i**2 - 2 - 18*i**o - 11*i**3 wrt i. -66 Let f(s) be the first derivative of -88*s**3/3 - 161*s**2/2 + 176. What is the second derivative of f(z) wrt z? -176 Let f(n) be the second derivative of 0*n**4 + 0*n**5 + 0 + 0*n**2 - 17/30*n**6 - 9*n + 1/2*n**3. Find the second derivative of f(o) wrt o. -204*o**2 Let f(c) be the second derivative of c**7/504 + c**6/48 + 7*c**4/12 - 3*c. Let j(y) be the third derivative of f(y). Find the second derivative of j(u) wrt u. 10 Let c(l) = 37*l**2 + 9*l - 70. Let s(r) = 38*r**2 + 7*r - 69. Let d(j) = -3*c(j) + 4*s(j). What is the first derivative of d(w) wrt w? 82*w + 1 Suppose -4*j = d - 52, -d + 13 = j - 0. Let w = j + -11. Find the third derivative of i**6 + 5*i**w - i**2 + 0*i**6 wrt i. 120*i**3 Let x(o) be the third derivative of o**7/336 + o**6/240 + 2*o**5/15 - 5*o**2. Let u(s) be the third derivative of x(s). Differentiate u(r) with respect to r. 15 Let q(i) be the second derivative of -29*i**6/15 - 64*i**3/3 - 20*i. Find the second derivative of q(x) wrt x. -696*x**2 Let w(g) = g**3 + g. Let i(h) = -20*h**3 + 14*h. Suppose 7*y = -4*y + 11. Let q(x) = y*i(x) - 6*w(x). Find the second derivative of q(s) wrt s. -156*s Suppose -3*x = 2*x - 10. What is the third derivative of -13*m**x + 2*m**6 + 2*m**6 + 4*m**2 wrt m? 480*m**3 Let p(z) = 7*z - 3. Let q be p(5). Suppose 0 = 3*g + 23 - q. Find the third derivative of 6*y**3 + y**3 - 3*y**2 - g*y**3 - 3*y**3 wrt y. 6 Let a = 105 - 88. Let h(p) = 20*p**2 - 12*p + 51. Let b(x) = 59*x**2 - 34*x + 152. Let o(k) = a*h(k) - 6*b(k). Differentiate o(i) with respect to i. -28*i Suppose -15*x + 8 = -11*x. What is the second derivative of -21*n - x*n + 3*n + n**2 wrt n? 2 Let b(m) = -79*m**3 - 6*m**2 - 12*m + 96. Let a(t) = 78*t**3 + 5*t**2 + 10*t - 95. Let u(z) = 6*a(z) + 5*b(z). Differentiate u(h) with respect to h. 219*h**2 Let r(o) be the third derivative of 38*o**6/15 + o**5/20 - 49*o**3/2 + 347*o**2. Find the third derivative of r(j) wrt j. 1824 Let f(m) be the first derivative of 0*m**5 - m**3 - 6 + 0*m**2 + 0*m + 0*m**4 + 7/6*m**6. What is the third derivative of f(s) wrt s? 420*s**2 Let f(b) = -13*b**3 - 22*b - 3. Let d = -128 + 131. Let y(h) = 13*h**3 + 23*h + 4. Let a(m) = d*y(m) + 4*f(m). What is the second derivative of a(w) wrt w? -78*w Let n(s) be the second derivative of 3*s**5/10 - s**4/3 + 7*s**3/6 + s**2/2 - 2*s - 84. What is the second derivative of n(d) wrt d? 36*d - 8 Let p(l) be the first derivative of 7/2*l**4 - 14/3*l**3 + 21 + 0*l**2 + 0*l. Find the third derivative of p(f) wrt f. 84 Suppose 0 = -2*i - 2*i + 12. Let f be i/((-2)/(-20)*2). What is the second derivative of 12*r**5 - 25*r**5 - 3*r + f*r**5 wrt r? 40*r**3 Let r = -4 + 14. Differentiate 6*d**3 - 12 + 14 - 2 - r wrt d. 18*d**2 What is the first derivative of 38*u + 40*u - 60 + 76*u + 15*u + 72*u wrt u? 241 Let t(r) = -135*r**3 - 7*r**2 + 2*r + 142. Let a(l) = 68*l**3 + 3*l**2 - l - 71. Let m(q) = -7*a(q) - 3*t(q). What is the derivative of m(o) wrt o? -213*o**2 + 1 Find the first derivative of -8*i**3 + 178*i - 178*i + 213 + 2*i**2 + 9*i**3 wrt i. 3*i**2 + 4*i Let m(d) = 2*d**2 + d + 68. Let w(n) = n**2 + 2*n + 69. Let k(u) = -3*m(u) + 4*w(u). Differentiate k(j) with respect to j. -4*j + 5 Find the third derivative of -11 + 9 - 26*q**2 - 172*q**5 - 82*q**5 wrt q. -15240*q**2 What is the second derivative of -80*n - 25*n + 4*n + 37*n**5 + 194*n wrt n? 740*n**3 Suppose -5*m + 40 = 5*h - 0*h, -4*m + 2*h = -2. Suppose m*c - 2 = 2*y + c, -4*y = 3*c - 31. Differentiate -y - 9 + 5 + 10*k**4 with respect to k. 40*k**3 Suppose 20*t - 24*t = -4*b + 68, 12 = -3*t. Let k(l) be the second derivative of 0 + l**3 + 5/2*l**2 + b*l. Differentiate k(i) with respect to i. 6 What is the third derivative of -1035*a**6 - 53*a - 48*a**2 + 641*a**6 + 57*a wrt a? -47280*a**3 Let a(q) be the second derivative of 131*q**6/5 - 641*q**4/12 + 119*q + 2. What is the third derivative of a(h) wrt h? 18864*h Let c(u) = -2*u - 1. Let r(v) = 53*v**2 - 12*v. Let j(k) = -2*c(k) - r(k). Find the second derivative of j(y) wrt y. -106 Let q(f) = 2*f - 3*f + 12 - 7*f. Let i(j) = 2*j - 3. Suppose -12*o + 17 = -7. Let s(a) = o*q(a) + 9*i(a). Differentiate s(y) wrt y. 2 Let x(c) be the third derivative of 23/60*c**5 + 0 +
{ "pile_set_name": "DM Mathematics" }
40227648? True Is 169281 a multiple of 9? True Is 1500336 a multiple of 23? True Is 24 a factor of 151174? False Is 64680 a multiple of 110? True Is 896 a factor of 1835904? True Is 451 a factor of 13981? True Does 505 divide 327170? False Is 29 a factor of 1193958? False Is 29012 a multiple of 118? False Is 2940509 a multiple of 11? True Is 273 a factor of 232050? True Does 20 divide 351440? True Is 190 a factor of 635807? False Is 76280 a multiple of 17? False Is 11520 a multiple of 141? False Is 16 a factor of 280768? True Is 36 a factor of 90260? False Is 631 a factor of 827872? True Is 2679649 a multiple of 1543? False Is 1559883 a multiple of 1739? True Does 227 divide 1571067? True Does 213 divide 683730? True Does 175 divide 251825? True Does 22 divide 1565256? True Is 4066346 a multiple of 362? True Is 1304 a factor of 1468304? True Is 2041899 a multiple of 106? False Does 236 divide 4527053? False Is 11793221 a multiple of 11? True Is 24 a factor of 792460? False Does 69 divide 73545? False Does 538 divide 190987? False Is 340844 a multiple of 14? True Is 49588 a multiple of 253? True Is 24 a factor of 304944? True Does 430 divide 858280? True Is 107 a factor of 20414? False Is 10873474 a multiple of 687? False Does 178 divide 1590543? False Does 10 divide 3386000? True Is 1529360 a multiple of 14? True Does 35 divide 150328? False Does 90 divide 4900590? True Is 32 a factor of 4623132? False Is 18 a factor of 71208? True Does 255 divide 3594306? False Is 226 a factor of 750998? True Is 989 a factor of 4429731? True Is 293 a factor of 37498? False Is 174852 a multiple of 108? True Does 27 divide 17129079? False Does 376 divide 496529? False Does 304 divide 955776? True Is 92 a factor of 26592? False Is 798510 a multiple of 430? True Does 619 divide 306900? False Does 82 divide 76076? False Is 10952480 a multiple of 12? False Is 559812 a multiple of 12? True Does 98 divide 48146? False Is 15 a factor of 684525? True Is 552 a factor of 1377269? False Is 103 a factor of 217639? True Is 43 a factor of 386212? False Is 37 a factor of 1030947? False Does 22 divide 27632? True Is 111 a factor of 692418? True Is 7 a factor of 2061815? True Is 75010 a multiple of 149? False Is 15 a factor of 265556? False Does 17 divide 768293? False Is 16 a factor of 126165? False Does 670 divide 7187760? True Is 312 a factor of 34008? True Is 964837 a multiple of 133? False Is 3657506 a multiple of 1058? True Is 22194 even? True Is 36 a factor of 239802? False Is 38 a factor of 1502841? False Is 21 a factor of 8223411? True Is 1671540 a multiple of 78? True Does 17 divide 880396? True Does 19 divide 36309? True Does 30 divide 231108? False Does 72 divide 597413? False Is 9532396 a multiple of 24? False Does 75 divide 395320? False Is 15 a factor of 20419? False Does 5 divide 23135? True Is 9 a factor of 2736? True Is 121629 a multiple of 49? False Is 1807 a factor of 5825666? False Is 4 a factor of 759995? False Is 459644 even? True Does 4 divide 119722? False Is 1318351 a multiple of 10? False Is 799937 a multiple of 90? False Does 100 divide 418900? True Does 313 divide 1692815? False Does 190 divide 2198604? False Does 42 divide 91724? False Is 7 a factor of 11503308? False Is 47614 a multiple of 7? True Does 283 divide 3713526? True Is 35340 a multiple of 228? True Is 114 a factor of 530556? True Does 8 divide 79208? True Is 35152 a multiple of 52? True Is 575546 a multiple of 14? False Is 5 a factor of 222767? False Does 10 divide 2651840? True Is 174 a factor of 19883154? True Is 91 a factor of 821? False Is 222522 even? True Is 158 a factor of 1390449? False Is 556009 a multiple of 99? False Is 509 a factor of 95692? True Is 291 a factor of 540938? False Is 416494 a multiple of 83? True Does 58 divide 74297? False Is 379 a factor of 5928689? False Is 48 a factor of 286795? False Does 114 divide 5729463? False Is 55 a factor of 184428? False Is 185820 a multiple of 15? True Does 24 divide 184365? False Is 289 a factor of 542407? False Is 729751 a multiple of 41? False Is 12 a factor of 3529804? False Is 535400 a multiple of 25? True Is 1494 a factor of 7045644? False Does 21 divide 2181480? True Is 68 a factor of 124543? False Is 211 a factor of 157617? True Is 27 a factor of 580884? False Is 11487 a multiple of 3? True Is 121 a factor of 372598? False Does 29 divide 171593? True Does 12 divide 6340836? True Does 6 divide 2227188? True Is 655 a factor of 410685? True Is 34 a factor of 312190? False Is 14 a factor of 174257? False Is 55 a factor of 698885? True Does 126 divide 599508? True Does 68 divide 2737984? False Is 42 a factor of 155690? False Does 5 divide 54365? True Does 590 divide 3318750? True Is 43100 a multiple of 9? False Is 1636682 a multiple of 26? False Is 48305 a multiple of 29? False Does 4 divide 208813? False Is 290 a factor of 939600? True Is 1940283 a multiple of 50? False Is 235 a factor of 1011338? False Does 20 divide 263660? True Does 217 divide 4437540? False Does 1614 divide 8150700? True Is 2 a factor of 99892? True Is 880327 a multiple of 133? True Is 27 a factor of 126144? True Does 162 divide 955638? True Is 5 a factor of 2430187? False Does 13 divide 1646203? True Does 174 divide 951084? True Does 13 divide 731146? True Is 44860 a multiple of 23? False Is 607826 a multiple of 2? True Is 6 a factor of 349262? False Is 32 a factor of 97429? False Is 15 a factor of 493230? True Does 143 divide 491506? False Does 5 divide 151245? True Does 15 divide 44594? False Is 12125899 a multiple of 47? False Does 17 divide 5830462? False Is 4388526 a multiple of 543? True Is 1541628 a multiple of 1374? True Is 126 a factor of 6118613? False Is 32 a factor of 48089? False Is 3 a factor of 773? False Does 9 divide 289656? True Is 499671 a multiple of 147? False Is 10582 a multiple of 74? True Is 2341601 a multiple of 269? False Does 56 divide 4100032? False Is 645 a factor of 3890640? True Is 7 a factor of 20782? False Is 22 a factor of 879561? False Is 575526 a multiple of 14? True Is 21 a factor of 67893? True Does 9 divide 3871530? True Does 772 divide 4265300? True Is 138 a factor of 561039? False Is 8 a factor of 158748? False Does 90 divide 1345145? False Is 4001166 a multiple of 18? True Does 21 divide 6433434? True Is 118 a factor of 171336? True Does 12 divide 39621? False Does 298 divide 8370952? False Does 70 divide 109480? True Is 242744 a multiple of 164? False Is 551148 a multiple of 45? False Is 683624 a multiple of 147? False Is 7 a factor of 310982? True Is 703 a factor of 3484771? True Is 456 a factor of 888408? False Does 1334 divide 13192259? False Is 20 a factor of 3617140? True Is 4868037 a multiple of 9? True Does 434 divide 257362? True Does 828 divide 868705? False Does 641 divide 10325869? True Is 78517 a multiple of 2? False Is 17 a factor of 71797? False Does 57 divide 180348? True Is 148 a factor of 2358967? False Does 55 divide 181775? True Is 1233551 a multiple of 9? False Does 254 divide 85370? False Is 108184 a multiple of 8? True Does 11 divide 338888? True Is 2189528 a multiple of 11? True Does 10 divide 7008900? True Is 101475 a multiple of 225? True Does 23 divide 383870? True Is 2 a factor of 131401? False Is 15514241 a multiple of 275? False Is 2170084 a multiple of 679? True Does 458 divide 1846656? True Is 328 a factor of 2626296? True Does 57 divide 1018433? False Is 265 a factor of 219155? True Is 5463840 a multiple of 16? True Is 6877723 a multiple of 282? False Does 545 divide 45235? True Is 3377938 a multiple of 1365? False Is 511118 a multiple of 28? False Does 435 divide 219251? False Is 45 a factor of 397161? False Is 156200 a multiple of 11? True Is 5832928 a multiple of 16? True Is 262 a factor of 13659108? True Does 3 divide 1642? False Does 143 divide 18113667? True Does 142 divide 484345? False Is 1159 a factor of 2946178? True Is 703888 a multiple of 74? True Does 121 divide 2768117? True Is 22527912 a multiple of 12? True Does 6 divide 82902? True Is 5 a factor of 91790? True Does 66 divide 1833193? False Does 26 divide 2225808? True Does 40 divide 3189120? True Is 1115205 a multiple of 13? True Is 24 a factor of 7896? True Is 397 a factor of 679595? False Does 6 divide 832
{ "pile_set_name": "DM Mathematics" }
1. What is -7*r(i) - 6*z(i)? -1709*i Let o(v) = -17*v**2 + 13*v - 23. Let q(l) be the second derivative of -l**4/3 + l**3/2 - 3*l**2 - 548*l + 2. What is -2*o(u) + 9*q(u)? -2*u**2 + u - 8 Let l(c) = 9*c**3 - 7*c**2 + 39*c + 7. Suppose -178*u - 276 = 102 + 334. Let d(m) = 5*m**3 - 4*m**2 + 19*m + 4. Determine u*l(z) + 7*d(z). -z**3 - 23*z Let z(q) = -13387*q**2 + 32*q. Let m(j) = -2231*j**2 + 5*j. What is 26*m(t) - 4*z(t)? -4458*t**2 + 2*t Let m(y) = 4*y**3 + 2*y - 3. Let d(q) = -5*q**3 - q + 4. Suppose 21*s + 140 = 35*s. Suppose -5 = 5*v + 5*r, 2*v - 2*r + s - 28 = 0. What is v*m(i) + 3*d(i)? i**3 + 5*i Let m(b) = 108974580*b. Let z(o) = 11619*o. Determine -5*m(p) + 46896*z(p). 11724*p Let g(t) = 25*t + 2. Let l = 9628 + -9378. Let k(h) = -1550*h - 125. What is l*g(m) + 4*k(m)? 50*m Let a(p) = -4*p + 1. Suppose -819 - 549 = -9*o. Let f(n) = o*n - 5 - 153*n + 5. What is -a(m) + 3*f(m)? m - 1 Let l(f) = 2232*f**3 + 217*f**2 + 217*f + 217. Let y(k) be the first derivative of -31*k**4/4 - k**3 - 3*k**2/2 - 3*k - 569. Give -3*l(m) - 217*y(m). 31*m**3 Let b(u) = 4*u - 7. Let t(f) be the second derivative of -f**3/2 + 3*f**2 - 2*f + 64. Let w be (-46)/(-6) + -4*(-3)/(-18). Give w*t(q) + 6*b(q). 3*q Let n(b) = -8*b**3 - 14*b**2 - 11*b + 9. Let s be (-1036)/(-3)*(-63)/(-28). Let v = s - 781. Let g(l) = 3*l**3 + 5*l**2 + 4*l - 3. Calculate v*n(h) - 11*g(h). -h**3 + h**2 - 3 Let y(x) = 146*x**2 - 7*x**3 - 13 - 302*x**2 - 20*x**3 + 0 + 147*x**2. Let n(c) = -13*c**3 - 4*c**2 - 6. What is 13*n(o) - 6*y(o)? -7*o**3 + 2*o**2 Let l(y) be the first derivative of -y**4 - 7*y**3/3 - 5*y**2 + 7*y - 672. Let a(p) = -3*p**3 - 5*p**2 - 7*p + 5. Calculate -7*a(n) + 5*l(n). n**3 - n Let r(v) be the second derivative of 13*v**5/20 + v**4/4 + v**2/2 + 8677*v. Let n(y) = -12*y**3 - 2*y**2 - 1. What is -3*n(q) - 2*r(q)? 10*q**3 + 1 Let k = -2 - -6. Let f(s) = s + 3. Let y be 372/(-1488)*(1 + 11). Let n(l) = 2*l + 3. Give k*f(m) + y*n(m). -2*m + 3 Let t(j) = j**2. Let a(g) = 19*g**2. Let u(w) = -4*w**2 + 66*w - 210. Let z be u(12). Give z*a(k) - 42*t(k). 72*k**2 Let d(u) = -21*u**2 + 6*u + 653. Let f(g) = 7*g**2 - 2*g - 216. Calculate 10*d(q) + 31*f(q). 7*q**2 - 2*q - 166 Let n(o) = 16084*o**2 - 24*o. Let a(f) = -16080*f**2 + 21*f. What is 8*a(z) + 7*n(z)? -16052*z**2 Suppose 112 = 3*j + 4*p, -4*j + 5*p = -151 - 19. Let r(d) = j*d - 25 + 23 - 38*d. Let k(c) = -3*c + 2. Calculate 4*k(z) + 5*r(z). -2*z - 2 Let x(l) = 4*l + 42. Suppose -b + 16 = 3*i, -26 = 4*b + 46*i - 49*i. Let j(s) = s + 14. Calculate b*x(f) + 7*j(f). -f + 14 Let n(t) = -9*t**3 - 5*t**2 - 5*t. Let w(k) = -28*k**3 - 14*k**2 - 14*k. Suppose -4*v + 3*d + 8 = 37, -5*d = -15. Determine v*w(b) + 14*n(b). 14*b**3 Suppose -128 = 13*o - 21*o. Suppose -2*y - 38 = -o. Let g(h) = -9*h**2 - 11*h + 11. Let a(k) = 5*k**2 + 6*k - 6. Suppose 3*q - 7 = -25. Give q*g(c) + y*a(c). -c**2 Let a(n) = -n**2 - 5*n + 5. Let w(s) = -s**3 - 2*s**2 - 6. Let y be w(-3). Suppose -8*q + y = -9*q. Let i(b) = -b**2 - 6*b + 6. What is q*i(k) + 4*a(k)? -k**2 - 2*k + 2 Let j(n) = 9*n + 39. Let t(d) be the second derivative of -7*d**3/3 - 59*d**2/2 - 74*d + 26. What is -8*j(c) - 5*t(c)? -2*c - 17 Let s(f) = -4*f + 2. Let z(d) = -9*d + 4. Suppose -190 - 141 = -9*a - 376. Determine a*s(q) + 3*z(q). -7*q + 2 Let z(p) = 10472*p**2 - 128*p - 4. Let q(b) = -11424951*b**2 + 139680*b + 4365. Give -4*q(x) - 4365*z(x). -10476*x**2 Let l(r) = -9*r**2 - 21*r + 131. Let z(g) = -10*g**2 - 23*g + 144. Let a(t) = -11*l(t) + 10*z(t). Let i(p) = -6*p**2 + 2*p - 1. Calculate 5*a(v) - i(v). v**2 + 3*v - 4 Let h(y) = 6*y + 4. Let x(d) be the second derivative of 5*d**3/6 + 3*d**2/2 - 2702*d - 2. Give 3*h(s) - 4*x(s). -2*s Let h(q) be the second derivative of q**3/3 + q**2/2 - 14543*q. Let w(p) = p**2 - 5*p + 3. Let f be w(5). Let o(c) = -2*c - 2. Determine f*h(b) + 2*o(b). 2*b - 1 Let t(m) = 88*m**3 - 16*m**2 - 66*m + 196. Let d(i) = -49*i**3 + 9*i**2 + 37*i - 109. Give -25*d(y) - 14*t(y). -7*y**3 - y**2 - y - 19 Let m(r) = r + 1. Let s = -65 + 55. Let x(w) = 2*w - 6. Let y(v) = -v + 1. Let z(f) = s*y(f) - 2*x(f). Let g be ((-1)/3)/((-1)/(-3)). Calculate g*z(i) + 4*m(i). -2*i + 2 Let r(b) be the first derivative of -b**2/2 - b + 49. Let z(w) = 4*w. Let m(x) = -2*x + 15. Let l be m(8). Calculate l*r(c) - z(c). -3*c + 1 Let v(f) = -f**2. Let b be v(1). Let i(o) be the second derivative of -7*o**3/6 - 70710*o. Let p(y) = y - 1. Calculate b*i(z) - 5*p(z). 2*z + 5 Let z(d) = d - 1. Let x(i) = 2*i - 2. Let s(k) = -3*x(k) + 2*z(k). Suppose -20617 = 39*n - 20539. Let l(p) = 4*p - 3. Give n*s(j) - 3*l(j). -4*j + 1 Let o(s) = -s**3 - s**2 - s - 1. Let f(x) = -6*x - 131 - 10*x**2 + 26 - 7*x**3 + 99. Calculate -f(z) + 6*o(z). z**3 + 4*z**2 Let j(w) = -w**2 + 7. Let r be (66/(-10))/(((-52)/(-40))/(-13)). Let i = 59 - r. Let h(x) = x**2 - 5. Give i*h(v) - 5*j(v). -2*v**2 Let y(l) = -l - 16. Let t(a) = 2*a + 29. Let k(p) = 3*t(p) + 5*y(p). Let u(s) = 2*s + 10. Give 7*k(d) - 5*u(d). -3*d - 1 Let b(o) = -o**3 - o**2 + 1. Let u be 68/(-884) - 42/(-39). Let s(j) = -32*j**3 + 3*j**2 - 3. Determine u*s(l) + 3*b(l). -35*l**3 Let c(j) = -7*j**2 + 6*j - 10. Let n(u) = -6*u**2 + 5*u - 10. Let a = -5380 - -5385. Calculate a*c(k) - 6*n(k). k**2 + 10 Let j(i) = -17*i + 4. Let a(l) = 22*l + 24. Let t(q) = 32*q + 39. Let k(n) = 8*a(n) - 5*t(n). Calculate 5*j(m) + 6*k(m). 11*m + 2 Let a(q) = 32*q**3 + 12*q**2 + 12*q. Let n(d) = -d**2 - 13*d**3 - 2*d**2 - 5*d - 2*d**2. Let r be (1 - 4/12)*6. Suppose r*j = 28 + 20. What is j*n(t) + 5*a(t)? 4*t**3 Let n(w) = -45*w**2 - 2*w. Let j(m) = 253*m**2 - 20*m. Let d(u) = -85*u**2 + 5*u. Let s(y) = 7*d(y) + 2*j(y). Determine 5*n(g) - 2*s(g). -47*g**2 Let y(w) = -46*w**3 + 2*w**2 - 13*w + 10. Let v(l) = -190*l**3 + 9*l**2 - 56*l + 40. Determine -2*v(k) + 9*y(k). -34*k**3 - 5*k + 10 Let a(j) = 15*j**2 + 4. Let v be 4*(8 + -7)*(-3 - -1 - -1). Let x(w) be the second derivative of 7*w**4/6 + 3*w**2/2 + w. Give v*x(q) + 3*a(q). -11*q**2 Let j(p) = -15*p**2 + 20*p + 4. Let o(l) = 34*l**2 - 41*l - 9. What is -5*j(k) - 2*o(k)? 7*k**2 - 18*k - 2 Let o(w) = -7*w**3 - 104*w**2 + 3*w + 30. Let u(f) = -14*f**3 - 209*f**2 + 7*f + 70. What is -7*o(j) + 3*u(j)? 7*j**3 + 101*j**2 Let g = -772 + 785. Let u(y) = -g*y + 28*y**2 + 5*y**2 - 12*y**3 - 6*y**2 - 12*y**2. Let o(m) = -6*m**3 + 7*m**2 - 6*m. What is 13*o(l) - 6*u(l)? -6*l**3 + l**2 Let t(q) = -q + 8. Let j(y) = -2*y. Let b(l) = -4*l + 23. Let i(p) = -b(p) + j(p). Suppose 5*z - 36 = -k, z + 2*k = -0*k. Give z*t(a) + 3*i(a). -2*a - 5 Suppose 172*t + 686 = 162*t + 108*t. Let o(n) = 11*n**3 + 9*n**2 - 3*n - 25. Let i(b) = 5*b**3 + 4*b**2 - b - 13. Calculate t*i(g) - 3*o(g). 2*g**3 + g**2 + 2*g - 16 Let d(k) = k + 3. Let y be (6/(-9) + -1)*(5 - 8). Suppose -13 - 17 = -y*w. Let q(a) = 3*a + 13. What is w*q(z) - 26*d(z)? -8*z Let o(c) = 13*c**3 - c**2 - 10*c - 11. Let z(h) = 11*h**3 - h**2 - 12*h - 13. Give -6*o(u) + 5*z(u). -23*u**3 + u**2 + 1 Let j(v) = -v**3 + 14*v**2 + 4*v - 3. Let b(w) = 2*w**3 - 31*w**2 - 7*w + 5. Calculate -6*b(z) - 10*j(z). -2*z**3 + 46*z**2 + 2*z Let h(n) = -190*n**3 - 12*n**2 - 12*n + 6. Let j(u) = 380*u**3 + 27*u**2 + 27*u - 13. What is -9*h(p) - 4*j(p)? 190*p**3 - 2 Let p(u) = -184*u**2 - 55*u. Let s(b) = -1288*b**2 - 396*b. Give 36*p(a) - 5*s(a). -184*a**2 Let q(u) = 6*u**3 - 28*u**2 - 23*u - 10. Let o(f) = f**3 - 2*f**2 - 2*f - 2. Give 5*o(i) - q(i). -i**3 + 18*i**2 + 13*i Let i(p) = 1. Let d(t) be the second derivative of t**3/6 + 2*t + 23. Let r(w) = -5*w - 2. Let x(z) = -6*d(z) - r(z). Determine 3*i(k) - x(k). k + 1 Let w be (-4)/(-10) - 23/(-55) - 518/(-2849). Let x(z) = z**2 + 1. Let y(u) = 4*u**3 + 6*u**2 + 7. Determine w*y(a) - 6*x(a). 4*a**3 + 1 Let g(q) = 34*q**2. Let d(n) = -721*n**2 + 6*n - 36. Let y(k) = -2885*k**2 + 25*k - 150. Let f(w) = -25*d(w) + 6*y(w). Give 5*f(j) - 104*g(j). 39*j**2 Let a(v) = -25*v**3 - v**2 - v + 9. Let i(y) = 13*y**3 + y**2 + y - 4. Determine 2*a(w) + 5*i(w). 15*w**3 + 3*w**2 + 3*w - 2 Let b(t) = 9*t + 2048. Let z(h) = -7*h - 2076. Give 4*b(i) + 5*z(i). i - 2188 Let m(k) = -k**2 + 5. Let t(w) = w**2 - w - 4. Suppose -6*j = 19 - 0 - 1. Calculate j*t(a) - 2*m(a). -a**2 + 3*a + 2 Let k(r) = -r. Let q(a) = 6*a + 3. Let h(u) = 2*u**2 - 9*u - 237. Let m be h(-
{ "pile_set_name": "DM Mathematics" }
y**2 - 68*y + 12. Let w be d(-12). What is w*l(i) + 4*o(i)? -4*i Let j(p) = 2*p**2 + 15 + p**3 - 9*p**2 - 20 - 2*p + 9. Let y be j(7). Let r(z) = 13*z**2 + 5. Let x(g) = -6*g**2 - 2. Determine y*x(u) - 4*r(u). 8*u**2 Let b(p) = 9*p + 1. Let j(d) be the first derivative of -5*d**2/2 + 10383. Calculate -3*b(w) - 5*j(w). -2*w - 3 Let x(f) = -53*f**2 + 424*f + 17. Let y(t) = 9*t**2 - 71*t - 3. What is -4*x(p) - 23*y(p)? 5*p**2 - 63*p + 1 Let y(v) = -4*v. Let n(z) = 23*z - 15. Let x(m) = 42*m - 26. Let l(u) = 7*n(u) - 4*x(u). Calculate 3*l(g) - 5*y(g). -g - 3 Let u be -7 + 3 + -1 + 1 + -1. Let n(r) = 2*r + 11. Let h(w) = 16 - 8 - w - 14. What is u*h(i) - 3*n(i)? -i - 3 Let m(q) = -7*q**2 + 5*q - 8. Suppose -84 = -x + 2*x. Let b = x - -89. Suppose l - b*l = 20. Let f(j) = 6*j**2 - 4*j + 7. Give l*m(z) - 6*f(z). -z**2 - z - 2 Let c be 1/(6 + (-44)/8). Suppose -2*p + p - 4*n - 6 = 0, -c*p - 2*n = 12. Let y(j) = 1. Let k(a) = -5*a - 5. Determine p*y(g) - k(g). 5*g - 1 Let h(z) be the second derivative of -z**5/120 - z**4/6 - 2*z**3/3 + z + 38. Let a(b) be the third derivative of h(b). Let w(c) = 3*c - 1. Give 2*a(y) - 2*w(y). -6*y Let m(c) = -c + 1. Let v(j) = -16*j - 7. Let s = -16412 - -16417. What is s*m(b) + v(b)? -21*b - 2 Let o(d) = 3*d**3 + 6*d**2 - 4*d + 37. Let h(j) = 2*j**3 + 3*j**2 - 2*j + 19. Calculate -7*h(c) + 4*o(c). -2*c**3 + 3*c**2 - 2*c + 15 Let w(x) = -7*x**3 - 36*x + 3. Let o(b) = 2*b**3 - 2*b - 1. What is -6*o(v) - 2*w(v)? 2*v**3 + 84*v Let c(w) = 13*w**3 + 3*w**2 + 3*w - 3. Let a(j) = -j**2 - j + 1. Suppose 3*q = 4*t + 5 - 4, -3*t = q + 4. Determine q*c(y) - 3*a(y). -13*y**3 Let t(n) = 47*n**2 + 3*n + 9. Let h(x) = 71*x**2 + 4*x + 11. Determine -2*h(l) + 3*t(l). -l**2 + l + 5 Let q(f) = 2*f**3 - 2*f**2 + 4*f + 2. Let i = -2599 - -2594. Let d(x) = 2*x**3 - 2*x**2 + 3*x + 1. Calculate i*d(l) + 4*q(l). -2*l**3 + 2*l**2 + l + 3 Let y(t) = -23*t**2 + 13*t - 4. Let k(i) = 11*i**2 - 6*i + 2. Let o = -506 + 493. Give o*k(p) - 6*y(p). -5*p**2 - 2 Let y(z) = -119 + 58 + 60 - z. Let q(w) = 2*w**2 - 4*w - 4. What is q(x) - 4*y(x)? 2*x**2 Let u = -28226 + 28221. Let y(w) = 3*w**2 - w + 3. Let a(q) = -q**2 - 1. What is u*a(t) - 2*y(t)? -t**2 + 2*t - 1 Let d(j) = 6*j - 55. Let k(f) = 14*f - 101. Give -13*d(h) + 6*k(h). 6*h + 109 Let q(l) = -l**3 + l**2 - l + 1. Let p = -28757 + 28758. Let s(t) = t**3 + t**2 - 1. Give p*q(m) - s(m). -2*m**3 - m + 2 Let m(y) = 10*y**2 - 4*y + 1. Let b(q) = -10*q**2 + 3*q - 1. Suppose 120 = -18*h - 18*h + 12*h. What is h*b(k) - 4*m(k)? 10*k**2 + k + 1 Let g(m) = m**3 - m**2 - m + 1. Let n(b) = 9*b**3 - 81 + 87 + 62*b**2 - 68*b**2 - 6*b. Let y be (-2)/6 + 28/21. Determine y*n(f) - 6*g(f). 3*f**3 Let m(s) = -22*s**2 + 9*s + 4816. Let i(l) = -5*l**2 + 2*l + 1204. Give -9*i(p) + 2*m(p). p**2 - 1204 Let w(q) = 37*q + 17 + 15 + 47*q. Let f be 3/3 + (-8)/(-8). Suppose -d - 17 = -3*p, 2*d - 25*p - f = -28*p. Let v(g) = 13*g + 5. Determine d*w(o) + 32*v(o). -4*o Let l(y) = -y - 3. Suppose 6 = -r + 5*o - 27, -16*o + 120 = 4*r. Let x(d) = -3*d + 4. Let w(u) = u - 1. Let q(s) = -7*w(s) - 2*x(s). What is r*l(m) - 5*q(m)? 3*m - 1 Let s(o) = 7*o. Let g(r) = -767*r - 182. Let k(t) = 4 + 1 + 23*t + 3 - 6*t - 4. Let n(b) = -2*g(b) - 91*k(b). Give -3*n(j) - 7*s(j). -10*j Let d(p) = -4*p**3 + 3*p - 1. Let c(l) be the first derivative of -5*l**4/4 + 2*l**2 - 2*l + 151. Suppose 41*z - 169 = -46. Calculate z*c(w) - 4*d(w). w**3 - 2 Let k(n) = 2*n + 5. Suppose 3*i - 4 = 8. Suppose -i*m - 4 = -24. Suppose d + d + m*a - 27 = 0, 0 = -5*d - 2*a + 15. Let v(b) = -1. Calculate d*k(s) + 3*v(s). 2*s + 2 Let u(y) = -y + 5. Suppose -19*j + 4*f = -24*j + 7, 4*f + 20 = 4*j. Let c(z) = -z + 1. Give j*c(p) - u(p). -2*p - 2 Let v(s) = -3056*s + 35. Let p(a) = -9166*a + 112. Calculate -5*p(q) + 16*v(q). -3066*q Let y(v) = 6 - 6*v**2 + 14*v - 80*v + 16*v + 47*v. Let r(q) = 11*q**2 + 5*q - 11. Give 4*r(p) + 7*y(p). 2*p**2 - p - 2 Let t(c) = -5*c**2. Let a be 1*(4 + 4 + 0) + -1 + 8. Let m(p) be the first derivative of 0*p**2 - a - 20/3*p**3 + 0*p. Give -2*m(z) + 9*t(z). -5*z**2 Let v = -1779 + 1198. Let k = 578 + v. Let t(s) = -4*s**3 + 3*s + 1. Let f(p) = 8*p**3 - 5*p - 2. Calculate k*f(b) - 5*t(b). -4*b**3 + 1 Let j(a) = a**3 + a**2 - 4*a - 9. Let q(f) be the second derivative of -f**5/20 + f**3/2 + 4*f**2 - 2416*f - 2. Determine 2*j(i) + 3*q(i). -i**3 + 2*i**2 + i + 6 Let y(w) = -3*w**2 + w. Let k(h) = -9*h**2 + 2*h - 1. Calculate -3*k(b) + 6*y(b). 9*b**2 + 3 Let p = 22 - 31. Suppose 0 = c + 16 - 18. Suppose c*y - 10 = 3*f, 0*y + 6 = 2*y - f. Let w(h) = 2*h**3 + 2. Let b(n) = 8*n**3 + 9. Give p*w(v) + y*b(v). -2*v**3 Let s(g) = -8*g + 11*g - 4*g**3 - 12*g**3 - 3*g**3 + 20*g**3 - 10*g**2. Let i(k) = -k**3 + 11*k**2 - 4*k. Give -3*i(p) - 4*s(p). -p**3 + 7*p**2 Let j(g) = -3921*g - 8. Let h(b) = 23035877*b + 47004. Determine 2*h(x) + 11751*j(x). -3917*x Let t(u) = u**2 - 1. Let z(i) be the third derivative of -i**5/20 + 5*i**4/12 + i**3/3 - 59*i**2 - 5*i. Give -2*t(n) - z(n). n**2 - 10*n Let x(y) = y + 1. Let d(k) = -4021 - 4023 - 4018 + 12063. Suppose -3*n = 2*n - 20. What is n*d(q) - 3*x(q)? -3*q + 1 Let l(n) = 9*n + 2. Suppose -2*g - 22*a + 21*a = 5, 29 = -5*g + 3*a. Let h(d) = 19*d + 5. Determine g*h(j) + 9*l(j). 5*j - 2 Let q(r) = 554*r + 117. Let p(x) = 831*x + 187. What is -5*p(y) + 8*q(y)? 277*y + 1 Let r(v) = -6*v**3 + 70*v**2 + 7*v - 22. Let i(t) = 4*t**3 - 40*t**2 - 5*t + 15. Determine -7*i(o) - 5*r(o). 2*o**3 - 70*o**2 + 5 Let d(s) = 4*s + 542. Let q(i) = -2*i - 49. Calculate d(z) + 4*q(z). -4*z + 346 Let n(d) = -2*d**2 + 211*d - 4. Let m(c) = 2*c**2 - 211*c + 4. Give 4*m(b) + 3*n(b). 2*b**2 - 211*b + 4 Suppose 5*c = 18 + 47. Let b(d) = 0 + 4 + 5*d + 1 - 2. Let f(j) = -16*j - 21. Let w(o) = -5*o - 7. Let l(a) = 6*f(a) - 17*w(a). What is c*b(z) + 6*l(z)? -z - 3 Let v(h) = 570*h**2 + h + 79. Let m(x) = 570*x**2 + x + 66. What is 6*m(i) - 5*v(i)? 570*i**2 + i + 1 Suppose 16*x - x = 540. Suppose 0 = 4*w - 3*q + x, 4*w + 2*q + 12 = -4. Let a(b) = b + 5 - 3*b + 2*b**2 + 2*b + 6*b. Let i(v) = v + 1. What is w*i(o) + a(o)? 2*o**2 - 1 Let c(h) = h + 24. Let q(s) = 129*s + 188. What is 8*c(a) - q(a)? -121*a + 4 Let y(k) = 15*k - 4. Let c(o) = -33 + 1630*o - 792*o - 718*o. Determine 4*c(x) - 33*y(x). -15*x Suppose 7*z + 12 = 13*z. Let t(g) = -g**3 + 5*g + g**3 - g**3 - z*g**3. Let f(l) = 3*l**3 - 4*l. Calculate 5*f(c) + 4*t(c). 3*c**3 Let b = -15 - -11. Let j(n) be the second derivative of n**3/6 + 358*n + 21. Let r(k) = -k - 2. Give b*j(h) - r(h). -3*h + 2 Let n(v) = v**3 + v**2 - v - 1. Let w(c) be the second derivative of -2*c + 1/6*c**3 - 18 + 0*c**2. Give -n(j) - w(j). -j**3 - j**2 + 1 Let u(z) be the first derivative of 7/2*z**2 + 83 - z. Let d(t) = 8*t - 1. Let s be (-34)/10 - 2/(-5). What is s*d(l) + 4*u(l)? 4*l - 1 Let a(f) = -106*f**2 + 29*f - 25. Let z(l) = 22*l**2 - 6*l + 5. Let n(p) = 6*a(p) + 29*z(p). Let v(u) = 3*u**2 + u - 6. What is 4*n(i) - 3*v(i)? -i**2 - 3*i - 2 Let z(s) = -3*s**2 - 6*s - 1. Suppose 8*m - 6*m + 12 = 0. Let v be 2*(1 - (1 - -1))*-1. Let g(f) = v*f**2 - f + 9*f - 3*f + 1. Calculate m*g(b) - 5*z(b). 3*b**2 - 1 Let y(w) = 15*w + 4. Let z(d) = 1774*d - 88. Give 44*y(v) + 2*z(v). 4208*v Let k(t) = -1268*t - 167. Let s(z) = -1269*z - 195. What is -7*k(a) + 6*s(a)? 1262*a - 1 Let l(v) be the second derivative of -v**3/6 - v**2 + 124*v. Let x(t) = 3*t + 5. Let q(u) = -5*l(u) - 2*x(u). Let z(f) = 2*f. Give 11*q(n) + 6*z(n). n Let o(f) = 7*f - 5. Let h(c) = -6*c + 6. Suppose 5*m = -7*m - m + 65. Determine m*h(l) + 6*o(l). 12*l Let d(o) = 9*o - 5. Let g(k) = -782. Let s(u) = -361. Let t(v) = 6*g(v) - 13*s(v). Determine d(f) + 3*t(f). 9*f - 2 Let w(n) = 11*n + 6. Let j be ((-10)/(-35) - (-73)/14) + (-12)/8. Let l(i) = -11*i - 7. What is j*l(a) + 5*w(a)? 11*a + 2 Let k(d) = -71*d + 4995. Let s(o) = -94*o + 4992. Determine 4*k(b) - 3*s(b). -2*b + 5004 Let m(c) = -1. Let y(o) = o + 5. Let d(h) = 2*h + 8. Suppose 5*f - 14*u + 15*u - 25 = 0, 2*f + u - 13 = 0. Let p(r) = f*d(r) - 7*y(r). What is -6*m(j) + 2*p(j)? 2*j Let f(q) = 3*q**2 + 5*q - 1. Suppose -375 = 3*h - 8*h. Let u(w) = w**2 + 75 + h + w - 150. Determine -f(g) + 5*u(g). 2*g**2 + 1 Let d(m) = -7*m**3 - 15*m**2 + 11*m - 23. Let b(f) = -4*f**3 - 8*f**2 + 6*f - 12. Suppose 20
{ "pile_set_name": "DM Mathematics" }
irst derivative of -4*i**2 - 1 + 3*i**2 + 0. Determine d(b(q)). 8*q Let a(z) = 2*z - 7344516. Let f(t) = -14*t**2. Give a(f(q)). -28*q**2 - 7344516 Let i(h) = -64228*h. Let k(x) = -3*x**2 + 8. What is k(i(o))? -12375707952*o**2 + 8 Suppose -29*h - 54 = -38*h. Let y(v) = -10830 - h*v + 10830. Let j(o) = 3*o**2. What is y(j(p))? -18*p**2 Let v(c) = 3*c**2 - 24. Let q(k) = 26*k**2 + 18. Let r(m) = 21*m**2 + 16. Let x(d) = 8*q(d) - 9*r(d). Calculate x(v(i)). 171*i**4 - 2736*i**2 + 10944 Let l(m) = 685*m**2 + 667*m**2 - 1392*m**2. Let o(a) = 14*a. Calculate o(l(h)). -560*h**2 Let k(s) = 5*s. Let i(q) be the second derivative of 0*q**3 + 0*q**2 + 0 + 4/3*q**4 - 27*q. Determine k(i(n)). 80*n**2 Let l(h) be the third derivative of 43*h**5/60 + h**3/6 + h**2 + 11*h. Let k(m) = 1131*m - 2256*m + 1127*m. Calculate l(k(p)). 172*p**2 + 1 Let k(s) = 2*s. Let d = -39 + 40. Let r be (d + ((-100)/6)/(-5))*3. Let z(y) = -14*y - r*y + 3*y - 18*y. Give k(z(j)). -84*j Let k(f) = -7*f. Let h(z) be the third derivative of -z**7/2520 - z**4/12 + 3*z**3/2 + 77*z**2. Let a(o) be the second derivative of h(o). Determine k(a(j)). 7*j**2 Let j(b) = -b**2. Let i(a) = -1587005*a - 7. Determine i(j(v)). 1587005*v**2 - 7 Let d(g) be the first derivative of 1/2*g**2 + 0*g - 9. Let c(k) = -11*k. Let a(m) = -25*m. Let b(p) = 4*a(p) - 9*c(p). Determine b(d(y)). -y Let k(t) = 73*t**2 - 9*t + 4. Let l(a) = 73*a**2 - 11*a + 5. Let w = 304 - 309. Let p(f) = w*k(f) + 4*l(f). Let z(i) = 2*i**2. Give z(p(s)). 10658*s**4 - 292*s**3 + 2*s**2 Let n(k) = -7*k + 4. Let o(y) = -22*y + 11. Let p(h) = -h**2 - 16*h - 19. Let c be p(-15). Let x(d) = c*o(d) + 11*n(d). Let r(g) = -25*g**2. Give r(x(w)). -3025*w**2 Let l(u) = 1344*u + 2088. Let m(x) = -33*x**2. What is l(m(j))? -44352*j**2 + 2088 Let h(m) = -321 + 1165 - 422 - 14*m - 422. Let u(b) be the third derivative of 5*b**4/24 + b**2. What is u(h(l))? -70*l Let n(t) = -4*t. Let g(i) = 25*i**2 + i + 18. Let x(w) = 28*w**2 + w + 15. Let z(j) = -5*g(j) + 6*x(j). Give z(n(f)). 688*f**2 - 4*f Let x(k) = 181*k**2. Let p(r) = 7 + 4 - 8 - 10*r + 11*r. Let m(v) = 4*v + 15. Let a(c) = m(c) - 5*p(c). Give x(a(f)). 181*f**2 Let q(w) = -11*w**2. Let x = 432 + -422. Let v(d) = -5*d**2 + 23*d**2 - 6*d**2 - x*d**2. Calculate v(q(h)). 242*h**4 Let h(v) = -250*v**2 + 77*v**2 + 58*v**2 + 58*v**2 + 55*v**2. Let o(p) = 19020*p. Determine o(h(z)). -38040*z**2 Let g(t) = -254*t. Let i(u) = 3534586*u. Give i(g(f)). -897784844*f Let f(b) = -44*b - 9. Let h(m) = -22*m - 4. Let q(i) = -4*f(i) + 9*h(i). Let l(o) = 5*o. Let k(j) = -6*j. Let u(z) = -3*k(z) - 4*l(z). Calculate u(q(n)). 44*n Let l(t) = 285*t. Let z(p) = -246794*p. Calculate z(l(h)). -70336290*h Let z(j) = -2*j. Let s(i) = -852694*i**2 + 7601. Let w(v) = -673*v**2 + 6. Let x(c) = 6*s(c) - 7601*w(c). Calculate z(x(r)). 1382*r**2 Let k(v) = -v. Let i(f) = 1. Suppose -27 = -4*c + 31*c. Let x(s) = s + 36. Let j(u) = c*x(u) + 5*i(u). Calculate k(j(m)). m + 31 Let b(w) = -12540*w - 2. Let h(m) = 200*m**2. Calculate b(h(j)). -2508000*j**2 - 2 Let s(x) = 620*x**2. Let f(i) = 624*i. Give f(s(k)). 386880*k**2 Let b(m) = 2*m**2. Let p(c) = 277452*c + 4771. Let i(h) = -349*h - 6. Suppose 25*w = 52*w + 128817. Let t(l) = w*i(l) - 6*p(l). What is b(t(r))? 269378*r**2 Let r(a) be the third derivative of -a**4/24 - 18*a**2. Let k(q) = 7 + 11*q**2 + 21*q**2 + 19*q**2 + 4 - 44*q**2. Determine r(k(t)). -7*t**2 - 11 Let l(r) be the second derivative of r**7/126 - 3*r**4/2 + 73*r. Let n(d) be the third derivative of l(d). Let x(a) = 3*a. Give n(x(j)). 180*j**2 Let v(h) = -2*h. Let a(j) = 2*j**2 - 79406715*j - 1. Calculate v(a(r)). -4*r**2 + 158813430*r + 2 Suppose -37 + 19 = -9*b. Let r(z) = -2 + b + 5621*z**2 - 5622*z**2. Let k(s) be the second derivative of 2*s**4/3 + s. Determine r(k(y)). -64*y**4 Let l(w) = -58*w. Let j(k) = 10*k + 8224. Determine l(j(a)). -580*a - 476992 Let w(o) = -356*o + 671*o - 314*o. Let q(c) = -5689*c**2. Determine w(q(g)). -5689*g**2 Let v(a) = 223*a - 2. Let z(q) = -18 - 11 + 3*q - 16 + 45. Determine v(z(g)). 669*g - 2 Let l(k) = -k**2. Let n(u) = 261*u - 4 + 6 - 288*u + 1. Calculate n(l(z)). 27*z**2 + 3 Let n(x) = x**2 + 19*x + 38. Let q be n(-17). Let a(z) = 34 - q + z - 30. Let w(m) = 7*m. What is w(a(t))? 7*t Let i(q) = 293*q - 139 + 292*q + 6 - 55 - 588*q. Let t(m) = -26*m. Give t(i(w)). 78*w + 4888 Let b(f) = 125*f**2 + 265721. Let n(u) = -2*u**2. What is b(n(c))? 500*c**4 + 265721 Let h(c) = -3*c - 1. Let a(z) = 30*z - 2401. What is a(h(g))? -90*g - 2431 Let c(r) = 3*r**2. Let f(v) = 5297513*v. Calculate f(c(q)). 15892539*q**2 Let t(j) = -92099*j**2 + 187779*j**2 - 93661*j**2. Let n(s) = -4*s. Determine t(n(c)). 32304*c**2 Let r(j) = 7*j. Let x(y) = -1950*y - 48. Let a(d) = 104*d + 2. Let u(v) = 72*a(v) + 3*x(v). Calculate u(r(i)). 11466*i Let n(l) = 4*l + 4*l + 12*l + 7*l. Let k(h) = -7*h - 16. Calculate k(n(v)). -189*v - 16 Let s be (-4)/15*-5*33. Let y(r) = -s + 84 - 40 + 67*r**2. Let k(m) = 2*m. What is y(k(p))? 268*p**2 Let v(r) = -7*r**2 - 8. Let y(o) be the second derivative of 7*o**4/12 + 1883*o - 1. Give v(y(t)). -343*t**4 - 8 Let f(d) = 484*d**2 - 2*d. Let y(x) = -x**2 + 3*x - 9. Let s(b) = 2*b**2 - 7*b + 21. Let h(r) = 3*s(r) + 7*y(r). Calculate f(h(j)). 484*j**4 + 2*j**2 Let d(r) = r**3 - 5*r**2 - 3*r + 3. Let c be d(6). Let n(h) = -3*h - c*h + 9*h. Let g(k) = -k**2. What is n(g(z))? 15*z**2 Let w(i) = -942*i + 3. Let n(m) = -31*m + 1. Calculate w(n(q)). 29202*q - 939 Let f(a) = -a. Let b = -24139/30 - -805. Let v(x) be the third derivative of 0*x**4 + 0*x + 4*x**2 + b*x**5 + 0*x**3 + 0. What is f(v(z))? -22*z**2 Let c(i) = 26*i. Let s(d) be the first derivative of 36*d**3 - 1172. Calculate s(c(u)). 73008*u**2 Let g(v) = 2*v. Suppose 0 = 2*c + c - 27. Let q(r) = 3*r. Let o(z) = c*g(z) - 5*q(z). Let n(w) = -105*w. Determine n(o(p)). -315*p Let h(i) = -2*i**2 - 3750*i + 1. Let z(m) = 3*m**2 - 49. Determine h(z(o)). -18*o**4 - 10662*o**2 + 178949 Let k(w) = -3*w + 87. Let v(o) = 14*o + 9. Let c(z) = -32*z - 21. Let i(r) = 3*c(r) + 7*v(r). Give k(i(h)). -6*h + 87 Let y(d) = 1714 + 1667 + 3*d - 3414. Let f(l) = -8*l**2. What is y(f(w))? -24*w**2 - 33 Let a(n) be the second derivative of n**4/6 + n**2 - 3364*n. Let f(w) = -105*w. Give a(f(h)). 22050*h**2 + 2 Let c(t) be the second derivative of -135*t**2 - t**4 + 135*t**2 + 185*t + 2*t**4. Let x(o) = 0*o - 3*o - o + 3*o. Determine c(x(h)). 12*h**2 Let u(i) = -212*i**2. Let s(t) = -4*t**2 + 15*t - 225. Let d(g) = g**2 - 4*g + 60. Let o(r) = -15*d(r) - 4*s(r). Calculate o(u(q)). 44944*q**4 Let v(m) be the first derivative of 11*m**2/2 + 956. Let z(w) = 44*w**2. What is v(z(p))? 484*p**2 Let f(w) = 15*w. Let q(m) = 4951*m**2 + 46. Calculate f(q(p)). 74265*p**2 + 690 Let r(x) = 4*x**2. Let q(s) = -4112811*s**2. Determine q(r(m)). -65804976*m**4 Let f(u) = -u**2. Let n(b) = 406 - 204 - 6*b + 19*b**2 - 201. Let a(k) = -55*k**2 + 17*k - 3. Let c(z) = 6*a(z) + 17*n(z). What is c(f(m))? -7*m**4 - 1 Let s(d) = 8 - 15 + d + 7. Suppose 3*l = 2*m - 3 + 2, -l - 22 = -5*m. Let u(i) = l*i + 6*i + 3 - 3. Calculate u(s(y)). 9*y Let w(t) = 814*t - 847*t + 6 - 9 + 3. Let s(u) = 2*u. Give s(w(i)). -66*i Let d(r) = -r**3 + 7*r**2 - 2*r + 18. Let j be d(6). Let l(i) = -j + 42 + 0 + 3*i. Let y(a) = 13*a**2. Calculate l(y(u)). 39*u**2 Let f(o) = 11*o - 1. Let j(a) = -17*a. Let y(t) = -t + 3. Let i(r) = 5*r - 9. Let m(x) = 2*i(x) + 6*y(x). Let s(w) = -3*j(w) - 12*m(w). Determine f(s(p)). 33*p - 1 Let g(m) = -2*m**2. Let c(j) = -395*j**2 + 7*j - 14. Let a(b) = 131*b**2 - 2*b + 4. Suppose q - 36 = 19*q. Let o(z) = q*c(z) - 7*a(z). Give o(g(u)). -508*u**4 Let w(l) = 2*l - 4. Let r(m) = 21*m**2 - 7304. Give r(w(j)). 84*j**2 - 336*j - 6968 Let t(h) = -h**2. Let v(j) = -217*j + 4. Let g(y) = 36023*y - 663. Let x(p) = 4*g(p) + 663*v(p). What is t(x(f))? -48841*f**2 Let v(c) = -975*c**2. Let r(o) be the second derivative of o**3/6 + 37*o + 3. What is v(r(u))? -975*u**2 Let k(t) = -2*t. Let r(c) = -1528*c + 33260. Give k(r(l)). 3056*l - 66520 Let s(i) = -2*i**2. Let b(z) = 285 + 174 + 136 + 4*z. What is b(s(x))? -8*x**2 + 595 Let m(z) = 81274*z. Let c(y) = 226*y**2. Calculate c(m(g)). 1492834655176*g**2 Let n(b) = -1261*b - 156. Let o(g) = 420*g + 48. Let f(x) = -4*
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 348 is divided by 8? 4 What is the remainder when 109 is divided by 20? 9 Calculate the remainder when 259 is divided by 106. 47 Calculate the remainder when 214 is divided by 25. 14 Calculate the remainder when 1881 is divided by 314. 311 Calculate the remainder when 668 is divided by 126. 38 Calculate the remainder when 85319 is divided by 158. 157 Calculate the remainder when 146 is divided by 111. 35 What is the remainder when 552 is divided by 20? 12 What is the remainder when 202 is divided by 17? 15 Calculate the remainder when 959 is divided by 472. 15 Calculate the remainder when 850 is divided by 429. 421 Calculate the remainder when 1926 is divided by 958. 10 Calculate the remainder when 935 is divided by 302. 29 Calculate the remainder when 2365 is divided by 184. 157 What is the remainder when 102 is divided by 26? 24 Calculate the remainder when 1312 is divided by 1312. 0 What is the remainder when 243 is divided by 51? 39 What is the remainder when 104 is divided by 57? 47 Calculate the remainder when 401 is divided by 205. 196 What is the remainder when 710 is divided by 31? 28 What is the remainder when 103 is divided by 52? 51 What is the remainder when 168 is divided by 34? 32 Calculate the remainder when 232 is divided by 78. 76 What is the remainder when 28 is divided by 25? 3 What is the remainder when 140 is divided by 41? 17 Calculate the remainder when 1449 is divided by 86. 73 What is the remainder when 270 is divided by 39? 36 Calculate the remainder when 213 is divided by 104. 5 Calculate the remainder when 235 is divided by 14. 11 Calculate the remainder when 762 is divided by 15. 12 What is the remainder when 962 is divided by 23? 19 What is the remainder when 52821 is divided by 372? 369 Calculate the remainder when 76 is divided by 26. 24 Calculate the remainder when 2694 is divided by 150. 144 Calculate the remainder when 31 is divided by 1. 0 What is the remainder when 109 is divided by 21? 4 What is the remainder when 884 is divided by 10? 4 What is the remainder when 79 is divided by 18? 7 What is the remainder when 358 is divided by 21? 1 Calculate the remainder when 113 is divided by 51. 11 What is the remainder when 574 is divided by 6? 4 What is the remainder when 1569 is divided by 519? 12 Calculate the remainder when 2517 is divided by 28. 25 What is the remainder when 493 is divided by 45? 43 What is the remainder when 639 is divided by 39? 15 Calculate the remainder when 527 is divided by 16. 15 What is the remainder when 4424 is divided by 246? 242 Calculate the remainder when 181 is divided by 63. 55 Calculate the remainder when 335 is divided by 48. 47 Calculate the remainder when 1079 is divided by 15. 14 Calculate the remainder when 95 is divided by 14. 11 What is the remainder when 55 is divided by 24? 7 Calculate the remainder when 1453 is divided by 97. 95 What is the remainder when 405 is divided by 136? 133 Calculate the remainder when 285 is divided by 137. 11 Calculate the remainder when 1894 is divided by 177. 124 Calculate the remainder when 94 is divided by 14. 10 What is the remainder when 35 is divided by 14? 7 Calculate the remainder when 301 is divided by 8. 5 Calculate the remainder when 1351 is divided by 3. 1 Calculate the remainder when 1650 is divided by 183. 3 What is the remainder when 382 is divided by 8? 6 What is the remainder when 74 is divided by 25? 24 What is the remainder when 1475 is divided by 314? 219 Calculate the remainder when 6992 is divided by 111. 110 What is the remainder when 401 is divided by 153? 95 What is the remainder when 392 is divided by 197? 195 What is the remainder when 1745 is divided by 19? 16 What is the remainder when 1355 is divided by 562? 231 What is the remainder when 10919 is divided by 65? 64 Calculate the remainder when 19 is divided by 4. 3 Calculate the remainder when 160 is divided by 45. 25 Calculate the remainder when 54 is divided by 16. 6 What is the remainder when 476 is divided by 15? 11 What is the remainder when 196 is divided by 4? 0 What is the remainder when 143 is divided by 18? 17 Calculate the remainder when 1017 is divided by 264. 225 What is the remainder when 41 is divided by 7? 6 What is the remainder when 443 is divided by 90? 83 Calculate the remainder when 142 is divided by 36. 34 Calculate the remainder when 729 is divided by 187. 168 Calculate the remainder when 237 is divided by 120. 117 What is the remainder when 923 is divided by 105? 83 What is the remainder when 33 is divided by 17? 16 What is the remainder when 33 is divided by 7? 5 Calculate the remainder when 3758 is divided by 38. 34 What is the remainder when 1952 is divided by 163? 159 What is the remainder when 712 is divided by 1? 0 What is the remainder when 836 is divided by 42? 38 What is the remainder when 243 is divided by 186? 57 What is the remainder when 19787 is divided by 12? 11 What is the remainder when 6915 is divided by 161? 153 Calculate the remainder when 259 is divided by 208. 51 Calculate the remainder when 539 is divided by 54. 53 What is the remainder when 180 is divided by 14? 12 Calculate the remainder when 5 is divided by 2. 1 Calculate the remainder when 703 is divided by 15. 13 What is the remainder when 175 is divided by 49? 28 What is the remainder when 524 is divided by 261? 2 What is the remainder when 1048 is divided by 21? 19 Calculate the remainder when 41 is divided by 23. 18 Calculate the remainder when 331 is divided by 60. 31 What is the remainder when 2043 is divided by 427? 335 Calculate the remainder when 253 is divided by 32. 29 Calculate the remainder when 132 is divided by 40. 12 What is the remainder when 123 is divided by 63? 60 Calculate the remainder when 1079 is divided by 119. 8 Calculate the remainder when 35 is divided by 8. 3 What is the remainder when 27 is divided by 15? 12 What is the remainder when 1043 is divided by 54? 17 Calculate the remainder when 555 is divided by 48. 27 What is the remainder when 123 is divided by 22? 13 Calculate the remainder when 300 is divided by 122. 56 What is the remainder when 867 is divided by 424? 19 What is the remainder when 3656 is divided by 3647? 9 Calculate the remainder when 3291 is divided by 410. 11 Calculate the remainder when 69 is divided by 20. 9 What is the remainder when 106 is divided by 79? 27 Calculate the remainder when 4171 is divided by 14. 13 Calculate the remainder when 298 is divided by 30. 28 What is the remainder when 3714 is divided by 59? 56 What is the remainder when 181 is divided by 14? 13 What is the remainder when 1619 is divided by 90? 89 What is the remainder when 184 is divided by 32? 24 What is the remainder when 2249 is divided by 230? 179 Calculate the remainder when 540 is divided by 68. 64 What is the remainder when 21944 is divided by 209? 208 Calculate the remainder when 2967 is divided by 9. 6 Calculate the remainder when 197 is divided by 182. 15 What is the remainder when 1854 is divided by 459? 18 Calculate the remainder when 109 is divided by 57. 52 What is the remainder when 275 is divided by 88? 11 What is the remainder when 4684 is divided by 55? 9 Calculate the remainder when 146 is divided by 31. 22 What is the remainder when 1016 is divided by 15? 11 Calculate the remainder when 821 is divided by 375. 71 What is the remainder when 10 is divided by 7? 3 What is the remainder when 599 is divided by 59? 9 Calculate the remainder when 168 is divided by 39. 12 What is the remainder when 132 is divided by 7? 6 What is the remainder when 170 is divided by 38? 18 Calculate the remainder when 806 is divided by 30. 26 Calculate the remainder when 2419 is divided by 64. 51 What is the remainder when 7046 is divided by 53? 50 Calculate the remainder when 5065 is divided by 149. 148 Calculate the remainder when 281 is divided by 58. 49 What is the remainder when 82 is divided by 34? 14 What is the remainder when 1054 is divided by 86? 22 What is the remainder when 273 is divided by 67? 5 Calculate the remainder when 25 is divided by 10. 5 What is the remainder when 1726 is divided by 5? 1 Calculate the remainder when 121 is divided by 33. 22 Calculate the remainder when 622 is divided b
{ "pile_set_name": "DM Mathematics" }
te number? False Is 4903 a composite number? False Is 1631 a prime number? False Is 6491 a composite number? False Is 18973 a prime number? True Is 3779 a prime number? True Is 1907 a prime number? True Is 23367 prime? False Is 43823 composite? True Is 35747 a composite number? False Is 59333 a prime number? True Is 17807 prime? True Is 78197 a prime number? False Is 31579 prime? False Is 118189 prime? True Is 123559 prime? False Is 1174829 a composite number? False Is 26833 prime? True Is 859 prime? True Is 1897663 composite? True Is 3803 a composite number? False Is 653 composite? False Is 542053 a prime number? True Is 523 composite? False Is 298021 prime? True Is 27743 a composite number? False Is 427627 prime? False Is 11765135 a composite number? True Is 43481 prime? True Is 288647 prime? True Is 47305 composite? True Is 40961 a prime number? True Is 2722 a composite number? True Is 10301 composite? False Is 196531 a composite number? True Is 28729 a prime number? True Is 1995863 prime? False Is 206059 prime? False Is 354751 a composite number? False Is 1157 a composite number? True Is 130783 composite? False Is 38903 a composite number? False Is 74771 prime? True Is 48239 composite? False Is 68863 composite? False Is 31431 composite? True Is 2633 a prime number? True Is 64271 a prime number? True Is 1902367 prime? True Is 18967 a composite number? True Is 167711 prime? True Is 13033 composite? False Is 287977 composite? False Is 278657 composite? True Is 22861 a prime number? True Is 16943 a composite number? False Is 134818 a prime number? False Is 810989 a composite number? False Is 519349 prime? True Is 585283 a composite number? False Is 58759 prime? False Is 9091 prime? True Is 96631 prime? False Is 96127 a composite number? True Is 118681 composite? False Is 6187 a composite number? True Is 55607 prime? False Is 3937 prime? False Is 69878 a prime number? False Is 844211 prime? False Is 12497 a prime number? True Is 1393451 prime? True Is 7209167 prime? False Is 111577 a composite number? False Is 5062 a prime number? False Is 21971 prime? False Is 37217 prime? True Is 269457 a prime number? False Is 602993 a prime number? False Is 13711 prime? True Is 247297 a composite number? True Is 2163491 prime? False Is 29687 a composite number? True Is 376949 prime? True Is 86401 a prime number? False Is 1559 a composite number? False Is 306265 prime? False Is 34909 composite? True Is 4583 a prime number? True Is 126667 a composite number? True Is 348203 a prime number? False Is 333401 prime? False Is 13469 a prime number? True Is 41269 a composite number? False Is 163729 a composite number? False Is 35566 prime? False Is 1909 composite? True Is 100493 a composite number? False Is 105437 a prime number? True Is 330149 a prime number? True Is 55427 prime? False Is 293611 a composite number? True Is 196967 a prime number? False Is 2439893 a prime number? True Is 1031501 composite? True Is 30071 composite? False Is 67493 prime? True Is 5573731 a composite number? False Is 1321063 composite? False Is 1817 a composite number? True Is 75961 composite? True Is 85633 a composite number? True Is 37579 composite? False Is 11959 a prime number? True Is 3299 composite? False Is 2049 a prime number? False Is 163193 a composite number? False Is 360619 a composite number? True Is 1046797 a prime number? True Is 6801 a composite number? True Is 73774 a prime number? False Is 8117 composite? False Is 885463 composite? True Is 479001 a composite number? True Is 63823 a composite number? False Is 11751 prime? False Is 7799 a composite number? True Is 329 a prime number? False Is 59903 a composite number? True Is 1061 a composite number? False Is 35653 prime? False Is 23207 prime? False Is 72019 a composite number? False Is 2153 prime? True Is 1748993 a prime number? True Is 243895 prime? False Is 9235 a prime number? False Is 2741 a prime number? True Is 188093 a composite number? True Is 84877 a prime number? False Is 29101 prime? True Is 1690883 composite? False Is 9127 composite? False Is 891581 a composite number? True Is 1916509 composite? True Is 13841 a prime number? True Is 18371 a composite number? False Is 27673 prime? True Is 47381 a composite number? False Is 44909 prime? True Is 312563 composite? False Is 54861 prime? False Is 3187037 a composite number? True Is 63647 a composite number? False Is 236337 composite? True Is 430937 composite? True Is 2827 composite? True Is 110089 prime? False Is 797 prime? True Is 256079 a prime number? True Is 95857 composite? False Is 78359 a prime number? False Is 40903 a prime number? True Is 47597 a composite number? True Is 916781 a prime number? True Is 62297 prime? True Is 16649 a composite number? False Is 99547 prime? False Is 236489 prime? False Is 117809 composite? False Is 5129 a prime number? False Is 180733 composite? True Is 294269 a composite number? False Is 1344863 a composite number? True Is 240587 prime? True Is 11057 a prime number? True Is 113279 composite? False Is 251417 prime? True Is 144295 prime? False Is 97233 composite? True Is 46054 a composite number? True Is 22181 a prime number? False Is 2111 prime? True Is 433189 a composite number? True Is 72421 prime? True Is 5911 prime? False Is 198593 composite? False Is 111697 a composite number? False Is 199 a composite number? False Is 69031 composite? False Is 62549 a composite number? False Is 221779 a prime number? False Is 3713 composite? True Is 2546393 a composite number? False Is 35023 prime? True Is 26615 prime? False Is 1138 a prime number? False Is 1073 prime? False Is 9533 prime? True Is 57719 a prime number? True Is 2333 prime? True Is 213713 a composite number? False Is 769 composite? False Is 63997 composite? False Is 96797 composite? False Is 1511 a composite number? False Is 704479 prime? False Is 1883 composite? True Is 351179 composite? False Is 3763 a composite number? True Is 463553 prime? False Is 3683 prime? False Is 5347 a prime number? True Is 13171 a prime number? True Is 1979 a composite number? False Is 29593 composite? True Is 3409 a composite number? True Is 183387 a prime number? False Is 80846 prime? False Is 25523 composite? False Is 15077 a prime number? True Is 720326 a prime number? False Is 220447 prime? True Is 3377 composite? True Is 5833 a prime number? False Is 50671 a prime number? True Is 11717 prime? True Is 29905 a composite number? True Is 847221 composite? True Is 4373 a composite number? False Is 67679 a prime number? True Is 63031 prime? True Is 172934 a composite number? True Is 140197 composite? False Is 347199 a prime number? False Is 421591 a prime number? False Is 2466557 composite? True Is 135887 prime? True Is 119611 a prime number? True Is 11422 a composite number? True Is 3899 prime? False Is 211283 a composite number? False Is 42587 a prime number? False Is 5557 composite? False Is 52985 composite? True Is 424187 prime? True Is 13765 composite? True Is 1703437 composite? False Is 698171 a prime number? True Is 1423579 a composite number? False Is 418121 prime? False Is 583 prime? False Is 187046 prime? False Is 9094 prime? False Is 188501 a prime number? False Is 19103 a prime number? False Is 5297 composite? False Is 869819 composite? False Is 12007 prime? True Is 1247 prime? False Is 5701 composite? False Is 307973 composite? True Is 27221 prime? False Is 20073 prime? False Is 191621 prime? True Is 18419 composite? True Is 790127 a composite number? True Is 65057 prime? False Is 370193 prime? True Is 19715 prime? False Is 30269 a prime number? True Is 16817 a prime number? False Is 1730839 prime? False Is 20465 a prime number? False Is 42115 prime? False Is 12689 a prime number? True Is 303395 a prime number? False Is 73742 composite? True Is 85171 prime? False Is 5473 prime? False Is 11962 composite? True Is 77021 prime? False Is 127883 a prime number? False Is 70985 composite? True Is 98281 composite? True Is 11759 a prime number? False Is 703 prime? False Is 566 a prime number? False Is 19813 composite? False Is 6563 prime? True Is 24293 a composite number? True Is 702951 a prime number? False Is 10466 composite? True Is 42118 a composite number? True Is 232741 prime? True
{ "pile_set_name": "DM Mathematics" }
is the first derivative of k(o) wrt o? 4 Let k(m) be the third derivative of 7*m**4/24 + 4*m**3/3 + 10*m**2. Differentiate k(z) with respect to z. 7 Let f(v) = 2*v**2 + 2*v + 1. Let w be f(-2). Let g(n) = n + 1. Let a be g(w). What is the first derivative of 3*t**2 + 3*t**2 - 3*t**2 - a*t**2 + 3 wrt t? -6*t Let w(v) = v**2 - v. Let f(b) = 2*b**3 + 10*b**2 - 14*b. Let c(l) = 2*f(l) - 20*w(l). Find the second derivative of c(s) wrt s. 24*s Let g(p) be the first derivative of 4*p**3 - 5*p - 9. What is the derivative of g(i) wrt i? 24*i Let n(s) = 4*s**5 - 2*s**4 - 9*s**2 + 2*s. Let x(z) = 21*z**5 - 11*z**4 - 46*z**2 + 11*z. Let c(w) = 11*n(w) - 2*x(w). Find the third derivative of c(p) wrt p. 120*p**2 Let b = 1 - 3. Let n be (b - 1) + 5 + 0. Find the second derivative of -n*d + d**5 - d**5 + d**5 - 3*d**5 wrt d. -40*d**3 Let y = 10 - 4. Find the third derivative of -t**2 + 2*t**6 + 0*t**y - 2*t**2 wrt t. 240*t**3 Suppose -10 = -4*h + 2*z, 17 = -5*z + 42. Find the third derivative of v**6 + 25*v**5 - 25*v**5 - h*v**2 wrt v. 120*v**3 Let g(c) = -7*c**2 - c - 5. Let o(q) = 11*q**2 + q + 8. Let p(a) = 8*g(a) + 5*o(a). What is the second derivative of p(i) wrt i? -2 Find the third derivative of -5*h**6 - 9*h**6 + 17*h**6 - 7*h**2 wrt h. 360*h**3 Let v(s) = -13 - s - 14 + 26. Let o(b) = 3*b - 4 + 3 - 4*b. Let m(q) = 3*o(q) - 2*v(q). What is the derivative of m(l) wrt l? -1 Let i(j) = j**2 + 2*j - 5. Suppose -3*t - 5 = x + 9, -8 = t + 2*x. Let y be i(t). Find the second derivative of o**3 - 10*o + o**y + 6*o wrt o. 12*o Let k(s) be the first derivative of -2/5*s**5 + 5 + 0*s**3 + 0*s**4 + 0*s + s**2. What is the second derivative of k(f) wrt f? -24*f**2 Find the third derivative of -41*a + 41*a + 3*a**4 + 6*a**2 wrt a. 72*a Let l(y) be the first derivative of 0*y**5 + 1/3*y**6 + 0*y**4 + 1 + 0*y**3 - 5/2*y**2 + 0*y. Find the second derivative of l(a) wrt a. 40*a**3 Let g(h) = h**2 - 1. Let r(m) = 8*m**2 + 4*m - 2. Let o(z) = -2*g(z) + r(z). Find the second derivative of o(j) wrt j. 12 Find the third derivative of 2*w**2 + 12*w**2 - 5*w**2 + 7*w**6 wrt w. 840*w**3 Let m(z) = -z**2 + 6*z + 4. Let g be m(6). What is the second derivative of -1 + 1 + 2*j + j**g wrt j? 12*j**2 Let s(y) be the first derivative of 9*y**5/5 - 7*y + 8. What is the derivative of s(h) wrt h? 36*h**3 Let i(h) = -46*h**3 + 7*h**2 - 183*h - 7. Let v(u) = -31*u**3 + 5*u**2 - 122*u - 5. Let y(q) = 5*i(q) - 7*v(q). What is the second derivative of y(g) wrt g? -78*g Let v(n) be the second derivative of -n**6/72 + n**4/12 - n**3/2 - n. Let m(d) be the second derivative of v(d). Differentiate m(z) wrt z. -10*z Let r(t) be the first derivative of -10*t**5 - 8*t - 8. Find the first derivative of r(w) wrt w. -200*w**3 Let z(v) = 10*v**2 + v - 1. Let h be z(1). What is the derivative of 8 - 3*l**4 + 2*l**4 - h wrt l? -4*l**3 Let j(g) = 46*g**4 + 3*g**3 + 3*g - 6. Let x(m) = -93*m**4 - 7*m**3 - 7*m + 13. Let n(f) = -7*j(f) - 3*x(f). Find the first derivative of n(d) wrt d. -172*d**3 Let p be (-1)/4 - (-27)/12. Find the third derivative of 3*q**2 + 0*q**3 + p*q**6 + 0*q**3 wrt q. 240*q**3 Suppose 2 = -4*d + 5*d. Suppose 4 = x - g - g, -d*x + 9 = -5*g. Find the third derivative of 4*t**x - t**5 - 2*t**2 + 0*t**5 wrt t. -60*t**2 Let a be ((-16)/(-12))/(1/6). Find the first derivative of -6*b**4 + 2 - a*b**3 + 8*b**3 wrt b. -24*b**3 Let c = -26 - -32. Let f(b) be the third derivative of -b**2 + 0*b + 0*b**3 + 0 + 0*b**5 - 1/120*b**c - 1/24*b**4. Find the second derivative of f(j) wrt j. -6*j Let h(t) = t**2 + 8*t - 5. Let p be h(-9). Find the third derivative of -a**2 + a**4 - a**6 + a**p - 2*a**4 wrt a. -120*a**3 Let b be ((-2)/3)/((-2)/6). Suppose 3*f - 4*f = -2. Find the second derivative of 0*g**2 + g**b + 3*g**2 - 2*g - f*g wrt g. 8 What is the third derivative of -4*t**2 - 3*t**2 + 5*t**6 - 4*t**6 + 5*t**6 wrt t? 720*t**3 Find the second derivative of 1304 - 15*n - 1304 - 4*n**2 wrt n. -8 Let u(d) = -d**2 - 7*d - 2. Let j be u(-6). Find the second derivative of a**4 - 7*a**4 + 9*a - j*a wrt a. -72*a**2 Suppose -s = p - 15, 3*s - 15 = -p + 4*p. What is the first derivative of 10*u - u**2 + 2*u**2 + 4 - s*u wrt u? 2*u Let x = 0 - -3. What is the third derivative of -x*j**2 - j**2 - j**3 + 0*j**3 wrt j? -6 Suppose -v + 0*v = 3*a - 2, -v = 4. What is the first derivative of -d**3 + a*d**3 + 2*d**3 - 2 wrt d? 9*d**2 Let u(t) be the first derivative of -t**3/6 + 3*t**2/2 - 2*t + 1. Let c(k) be the first derivative of u(k). Differentiate c(q) wrt q. -1 Let b(o) be the second derivative of o**6/30 - 17*o**4/12 - o**3/3 + o**2/2 + 2*o - 8. What is the second derivative of b(k) wrt k? 12*k**2 - 34 Let d(r) be the first derivative of 8*r**3/3 + 4*r - 1. Find the first derivative of d(m) wrt m. 16*m Suppose -5*i - 12 = -2*x - 111, -x = i - 24. Let z be 6/i + (-38)/(-14). What is the derivative of q - q - q**z - 3 + 2*q**3 wrt q? 3*q**2 Let v(j) be the second derivative of 0*j**5 + 0 + 0*j**2 + 1/12*j**4 - 1/14*j**7 - 6*j + 0*j**3 + 0*j**6. Find the third derivative of v(i) wrt i. -180*i**2 Suppose y = 2 + 1. Find the second derivative of -3*v**2 + 7*v - 2*v**2 - y*v + v wrt v. -10 Suppose -4*o = o - 5. Let n be (-10)/(-4) + (-2)/4. Differentiate n + t + 5 - 3 - o wrt t. 1 Let m(n) be the first derivative of n**5/10 - 5*n**2/2 + 4*n - 1. Let v(i) be the first derivative of m(i). What is the first derivative of v(y) wrt y? 6*y**2 Let j(r) = -3*r**2 - 3*r - 5. Suppose -7*x + 20 = -3*x. Let i(c) = c + 1. Let p(l) = x*i(l) + j(l). Find the second derivative of p(m) wrt m. -6 Let m(y) = -8*y + 20. Let s(l) = -8*l + 2. Let f(b) = -9*b + 1. Let t(g) = -5*f(g) + 6*s(g). Let u(n) = -5*m(n) + 14*t(n). Differentiate u(a) wrt a. -2 Suppose 2*w + 3*w = 0. What is the first derivative of 2 - 2*o + o - o + w*o wrt o? -2 Let w(i) = -i**2. Let a(s) = -5*s**2 + 1. Let k be (-8)/28 - 6/(-21). Suppose -n = -k*n - 11. Let x(m) = n*w(m) - 2*a(m). Differentiate x(z) with respect to z. -2*z Let f(w) be the first derivative of w**8/560 + w**4/24 + w**3 - 3. Let z(t) be the third derivative of f(t). Differentiate z(h) wrt h. 12*h**3 Let g(p) be the second derivative of p**6/6 - 7*p**3/6 - 7*p. Find the second derivative of g(c) wrt c. 60*c**2 Let o(z) = z**2 - 2*z - 5. Let l(p) = p + 1. Let h = 5 + -6. Let g(u) = h*o(u) - 2*l(u). Differentiate g(c) with respect to c. -2*c Let f(n) be the third derivative of -17*n**4/12 + 3*n**3/2 - 2*n**2 - n. Differentiate f(b) with respect to b. -34 Let h(v) be the second derivative of v**4/4 + 2*v**3/3 - 4*v. What is the second derivative of h(n) wrt n? 6 Suppose -6 = 2*i - 16. What is the second derivative of 3*v**5 - 5*v**5 + v**i + 2*v**5 + 4*v wrt v? 20*v**3 Let t(c) = -c**3 + c**2 + 1. Let y(q) = 2*q**4 - 5*q**3 + 5*q**2 - 19*q + 5. Let v(i) = -5*t(i) + y(i). Find the second derivative of v(o) wrt o. 24*o**2 Find the second derivative of 4*d**5 - d**5 + 2*d**5 - d**5 - 6*d wrt d. 80*d**3 Let q(x) be the second derivative of 7*x**3/3 + x**2 - 14*x. What is the derivative of q(v) wrt v? 14 Let t(g) be the second derivative of -19*g**6/30 - 29*g**2/2 + 56*g. What is the derivative of t(a) wrt a? -76*a**3 Let f(d) = 6*d**2 - 7*d + 3. Let u(w) = -6*w**2 + 7*w - 4. Let q(v) = 4*f(v) + 3*u(v). What is the second derivative of q(j) wrt j? 12 What is the first derivative of -4 + 5*y - 3 + 2 wrt y? 5 Let k(r) be the third derivative of -1/24*r**4 + 3*r**2 + 0*r + 1/30*r**5 + 0*r**3 + 0. What is the second derivative of k(m) wrt m? 4 Let p(h) be the third derivative of 11*h**5/12 + h**4/24 - 30*h**2 - 2*h. What is the second derivative of p(w) wrt w? 110 Let v(g) be the second derivative of -2*g**2 - 1/6*g**4 + 0 + 2*g + 1/2*g**3. Let j(t) be the first derivative of v(t). Differentiate j(b) with respect to b. -4 Find the first derivative of 8*b + 8*b - 2 + 3 wrt b. 16 Let y(r) be the third derivative of -r**8/28 - r**5/60 + 8*r**2. What is the third derivative of y(h) wrt h? -720*h**2 Let v = 0 + 0. Find the second derivative of -1 + 3*j**4 + 1 + v*j - j wrt j. 36*j**2 Let d(j) be the first derivative of -j**2 - 3*j + 1. Differentiate d(u) wrt u. -2 Let b = -4 + 7. What is the second derivative of d**b + 3*d**5 - d**3 + 0*d**3 - d wrt d? 60*d**3 Let l be -3 - (-2)/1*2. Let t = 1 + l. Find the s
{ "pile_set_name": "DM Mathematics" }
n(g) = -2*g**3 + 2*g**2. Let v = -64 - -65. Let p(w) = -1. What is v*n(m) - p(m)? -2*m**3 + 2*m**2 + 1 Let g(o) = 7*o**2 + 2 - 8*o**2 - 3 + 3. Let m(y) = y**2 - 1. Calculate g(r) + 3*m(r). 2*r**2 - 1 Let s(f) = 1 - 8 + 10*f - 7*f. Let t(u) = u - 1. Calculate s(p) - 2*t(p). p - 5 Let a(p) = -166*p + 11. Let s(m) = -33*m + 2. Give -4*a(h) + 22*s(h). -62*h Let u(d) = -2*d. Suppose 4*g - 2 = -2. Let p(o) be the third derivative of 0 + 1/12*o**4 + g*o + 2*o**2 + 0*o**3. What is -5*p(t) - 6*u(t)? 2*t Let j(y) = y + 8. Let o(f) = f + 5. Calculate -5*j(h) + 8*o(h). 3*h Let q(h) = -h**3 - 2. Let g(x) = 2*x**3 + 5. Give 2*g(j) + 5*q(j). -j**3 Let w(z) = -7*z - 25. Let d(n) = -3*n - 13. What is 5*d(j) - 2*w(j)? -j - 15 Let i(m) = -34*m - 4. Let o(s) = -68*s - 9. Determine 13*i(z) - 6*o(z). -34*z + 2 Let f = 67 - 66. Let w(d) = d**3 - 4. Let b(c) = -1. Calculate f*w(h) - 4*b(h). h**3 Let j(m) = -11*m**2 + 4*m + 41. Let d(w) = 5*w**2 - 2*w - 20. Determine 13*d(y) + 6*j(y). -y**2 - 2*y - 14 Let v(a) = 2*a**2 - 5*a + 5. Suppose o - 4*o + 15 = 0. Suppose -3*i = -0*i + 18. Let h(j) = 2*j**2 - 6*j + 6. Calculate i*v(k) + o*h(k). -2*k**2 Let c(a) = -7*a**3 - 5*a**2 - 5*a. Let s(g) = 4*g**3 + 3*g**2 + 3*g. Let m(r) = r - 5. Let t be m(2). Suppose -3 - 7 = 2*o. Give o*s(i) + t*c(i). i**3 Let h(m) = -2*m**3 + 5*m**2 + 2*m + 1. Let y(a) = a**3 - 2*a**2 - a. Let c = -8 - -13. What is c*y(n) + 2*h(n)? n**3 - n + 2 Let w(g) = -5*g**2 + 11*g. Let h be 14*((-1)/1 - -3). Let k(o) = -h*o**2 + 17*o**2 + 14*o**2 - 7*o. Determine 8*k(c) + 5*w(c). -c**2 - c Let v(z) = 21*z**3 + 15*z**2 + 15*z - 15. Let p(l) be the second derivative of 3*l**5/20 + l**4/6 + l**3/3 - l**2 - 21*l. Determine 15*p(q) - 2*v(q). 3*q**3 Let c(p) = 2*p. Let g(t) = -4*t. Suppose -10 - 8 = 5*k - 2*o, k - 14 = -4*o. Determine k*g(q) - 5*c(q). -2*q Let f(n) be the first derivative of 5*n**4/12 + 3*n**2/2 - n + 1. Let g(v) be the first derivative of f(v). Let m(r) = 6*r**2 + 4. Give 4*g(t) - 3*m(t). 2*t**2 Let s(z) = -3 - 6*z + 0*z + 3*z. Let d(h) = -2*h - 2. Let q = -10 + 14. Let j = 1 + q. Determine j*d(v) - 4*s(v). 2*v + 2 Let f(z) be the first derivative of -9*z**2/2 - 2*z + 18. Let c(k) = 5*k + 1. Let w = -1 + 1. Let p = w + -3. Determine p*f(t) - 5*c(t). 2*t + 1 Let h(v) = -8*v**3 + 6*v - 7. Let k(c) = c**3 - c + 1. Suppose -11*s + 72 = -82. Calculate s*k(u) + 2*h(u). -2*u**3 - 2*u Let s(y) = -40*y**2 - 3*y - 3. Let g(i) = 41*i**2 + 4*i + 4. What is -3*g(f) - 4*s(f)? 37*f**2 Let h(u) be the second derivative of -5*u**4/12 - u**3/3 + 2*u**2 + u. Let f(l) = -4*l**2 - 2*l + 3. Calculate -4*f(o) + 3*h(o). o**2 + 2*o Let z(a) = -21*a**2 + 7. Let p(h) = 14*h**2 - 5. Let u(x) = -8*p(x) - 5*z(x). Suppose -4*r - 5 - 11 = 0. Let w(c) = -6*c**2 + 4. Give r*u(n) + 5*w(n). -2*n**2 Let p(o) be the second derivative of o**5/20 - 2*o**2 + 4*o. Let q(x) = 2. Determine -2*p(j) - 5*q(j). -2*j**3 - 2 Let k(v) = -v**2 - 17*v - 33. Let a be k(-15). Let q(o) = -2*o + 11. Let b(r) = r - 6. Determine a*q(t) - 5*b(t). t - 3 Let a(x) = 3*x. Suppose 3*h - 2*h = 15. Suppose v = -2*v - h. Let z(t) = -6*t. Calculate v*a(l) - 3*z(l). 3*l Suppose -4*r - 23 = 1. Let l(m) = 2*m**3 + 6*m**2 - 2*m + 6. Let d(h) = -4*h**3 - 13*h**2 + 4*h - 13. Calculate r*d(z) - 13*l(z). -2*z**3 + 2*z Let s(o) = 5*o**2 - 4*o - 5. Let w(m) = m**2 - 8*m - 6. Let t be w(9). Suppose t*h + 1 = 13. Let j(r) = -6*r**2 + 5*r + 6. Give h*j(l) + 5*s(l). l**2 - 1 Let g(z) be the first derivative of 17*z**4/4 - 2*z**2 + 17*z - 15. Let p(c) = 4*c**3 - c + 4. Determine 2*g(f) - 9*p(f). -2*f**3 + f - 2 Let r(j) = -j**2 - j. Let f(i) be the third derivative of -7*i**5/30 - i**4/2 + 3*i**2. Give -f(y) + 12*r(y). 2*y**2 Let m(o) = -14*o - 20. Let h(a) be the second derivative of -3*a**3/2 - 13*a**2/2 - 22*a. What is 8*h(d) - 5*m(d)? -2*d - 4 Let w(q) = -q**3 - 2*q**2 + 2*q. Let v(l) = 3*l**3 + 7*l**2 - 7*l - 1. Let m = -20 + 33. Let a = 10 - m. Let h = -1 - a. Calculate h*v(z) + 7*w(z). -z**3 - 2 Let g(i) = -4*i - 2. Let b(o) = -2 - 4 + 5 + 0. Let y(u) = -u + 2. Let r(c) = 2*b(c) + y(c). What is g(f) - 5*r(f)? f - 2 Let c(h) = 9*h + 9. Let d(u) = -4*u - 4. Suppose 2 + 2 = 2*x, -4*r + 4*x = 36. What is r*d(z) - 3*c(z)? z + 1 Let o(a) = -13*a**3 + 5*a - 5. Let w(d) = -72*d**3 + 27*d - 27. Calculate 27*o(m) - 5*w(m). 9*m**3 Let k(f) = 9*f - 4. Suppose 0 = -0*h + 2*h - 34. Suppose -3*u - 2 + h = 0. Suppose u*p + 20 = p. Let i(b) = 14*b - 6. Calculate p*i(j) + 8*k(j). 2*j - 2 Let g(v) be the first derivative of -v**3/6 + v**2/2 - v - 1. Let f(x) be the first derivative of g(x). Let j(t) = -3 - 2 + 4*t - t. Determine -5*f(z) - j(z). 2*z Let r(z) = z - 1. Let j(m) = -2. Let p(w) = w + 6. Let d be p(6). Let q(g) = -3 + d + 3. Let i(o) = -34*j(o) - 6*q(o). Give i(b) - 2*r(b). -2*b - 2 Let u be (-1)/3 - (-48)/9. Let r(v) be the third derivative of 11*v**5/60 - v**4/3 + 4*v**3/3 + 3*v**2. Let n(x) = -7*x**2 + 5*x - 5. What is u*r(b) + 8*n(b)? -b**2 Let w(i) = -4*i - 1. Let l(h) be the second derivative of h**3/6 + 46*h. Let f(n) = n**3 - 6*n**2 - 8*n + 10. Let y be f(7). Calculate y*l(x) + w(x). -x - 1 Let z(r) = -3*r**3 + 4*r**2 - 4*r + 4. Let u(g) = -2*g**3 + 3*g**2 - 3*g + 4. What is -4*u(h) + 3*z(h)? -h**3 - 4 Let h(k) = k - 4. Let q(p) = -3*p + 8. What is -5*h(z) - 2*q(z)? z + 4 Let n(b) = 6*b**2 - 4*b - 5. Let m(r) = -5*r**2 + 3*r + 4. Let o = 5 - 3. Let j = -2 - o. Suppose 0*i + 3*t = 4*i + 23, 3*t = -i - 2. Determine i*m(d) + j*n(d). d**2 + d Let s = -27 - -40. Let j(o) = -2*o**2 - 13*o - 13. Let b be (-6)/(-36) + 17/6. Suppose b*t + 2*t + 30 = 0. Let y(v) = -v**2 - 6*v - 6. Give s*y(a) + t*j(a). -a**2 Let p(d) = -3*d**3 + 4*d - 4. Let c(k) = -28*k**3 + 35*k - 35. Let q(j) = -4*c(j) + 35*p(j). Let x(s) = s**3. What is q(y) - 6*x(y)? y**3 Let r(l) = -l**2 - 4*l + 4. Let y(c) = c**2 + 4*c - 3. Let u(g) = 4*r(g) + 3*y(g). Let q be 1/4 + 28/16. Let b(n) = -2 - 3 + q*n + 2. Give -5*b(p) - 2*u(p). 2*p**2 - 2*p + 1 Let k(p) = -7*p**2 + 3*p + 1. Let b(x) = 4*x**2 - 2*x - 1. Let w = 119 + -116. Calculate w*k(u) + 5*b(u). -u**2 - u - 2 Let d = 5 + -3. Let z(i) = i - 4*i**3 + 3*i**3 - 4*i - 308 + 305. Let n(k) = -k - 1. Calculate d*z(o) - 6*n(o). -2*o**3 Let a(s) = -s**2 + s - 1. Let t(x) = 9*x**2 - 2*x + 6. Let o(w) = 17*w**2 - 5*w + 12. Let g(r) = -3*o(r) + 5*t(r). Determine 5*a(q) - g(q). q**2 + 1 Let q(z) be the second derivative of -z**3 - 3*z**2/2 - z + 5. Let d(x) = 7*x + 3. What is -4*d(l) - 5*q(l)? 2*l + 3 Let o(h) = -h**3 + h + 1. Let x(c) = 2*c**3 + 5*c + 5. Give -5*o(m) + x(m). 7*m**3 Let f(c) = 7*c**2 - 3*c - 4. Let i(n) = -4*n**2 + 2*n + 2. Give -3*f(w) - 5*i(w). -w**2 - w + 2 Let j(z) = z - 2. Let w(c) = -c**3 - 2*c**2 + 2*c - 2. Let l be w(-3). Let y(m) = -m. What is l*j(a) + 2*y(a)? -a - 2 Let h(q) = -5*q**2 + 4*q + 7. Let b(c) = 2*c**2 - 2*c - 3. What is 9*b(u) + 4*h(u)? -2*u**2 - 2*u + 1 Let t = -8 - -5. Let r = 5 + t. Let b(m) = -7*m - 8 - 9*m - 14 + 1. Let n(o) = -3*o - 4. Give r*b(v) - 11*n(v). v + 2 Suppose -c = 5*u + 8, c = -0*c - 2*u - 2. Let m(w) = 6*w - c - 9*w + 0*w. Let a(x) = x + 1. Suppose -2*g = -4*g + 8. Give g*a(f) + m(f). f + 2 Let w = 19 + -42. Let t be (-4)/14 + w/(-7). Let n(g) = -5*g**3. Let o(m) = 9*m**3. What is t*o(b) + 5*n(b)? 2*b**3 Let p(d) = 0*d**2 + 1 - 2 + 5*d**2. Let o be p(-1). Suppose -v + 27 = -o*v. Let u(z) = 7*z - 13. Let j(m) = 3*m - 6. Determine v*j(f) + 4*u(f). f + 2 Let a(u) = -19*u**2 - 6*u. Let i(f) = -28*f**2 - 9*f. Give -7*a(j) + 5*i(j). -7*j**2 - 3*j Let g(d) be the third derivative of -d**6/120 + 5*d**2. Let f be (0 + 2/4)*12. Let q(p) = 8*p**3 + 2*p**2 + 2. Give f*g(s) + q(s). 2*s**3 + 2*s**2 + 2 Let x(o) = 6*o**3 + 17*o**2 + 17*o - 17. Let l(n) be the first derivative of -2*n**3 + 4 - 3*n**2 + 6*n - 1/2*n**4. Calculate 17*l(c) + 6*x(c). 2*c**3 Let v(r) = -14*r - 19. Let g(q) = 7*q + 9. What is -9*g(h) - 4*v(h)? -7*h - 5 Let u(n) be the second derivative of -n**3/2 - 5*n**2/2 + 6*n. Suppose 2*r - 14 + 6 = 0. Let a(v) = 8*v + 14. What is r*a(i) + 11*u(i)? -i + 1 Let i(q) = -2*q**2 + 5*q + 7. Let o(w) = -w**2 + 2*w + 3. Let l(a) = -3*i(a) + 7*o(a). Let h(z) = -5*z**2 - 3*z - 3. Give h(c) - 3*l(c). -2*c**2 - 3 Let a(o) = 4*o**2 - 7*o + 7. Suppose 0 = 3*b - 2*w + 3, 0*w + 2*w = 2*b. Let u(l) = -2*l**2 + 3*l - 3. Determine
{ "pile_set_name": "DM Mathematics" }
24? 2, 11 Let l(i) = i**3 + 7*i**2 + 7*i + 14. Let h be l(-6). Suppose -c + 193 = 3*y, -h = -c - c. List the prime factors of y. 3, 7 Let j(w) = -w**3 + 53*w**2 + 44*w - 164. List the prime factors of j(53). 2, 271 Suppose 0 = 80*b - 82*b. List the prime factors of 14 - (b/(-4 - -3))/2. 2, 7 Let s(o) = -o**2 + 5*o + 11. Let q = 27 + -19. Let f be s(q). Let c = 15 + f. What are the prime factors of c? 2 Suppose -2*x = -5*s + 13291 - 1434, x = -5*s + 11869. What are the prime factors of s? 3, 7, 113 Suppose 2*f - 90 = 7*f. Let c be 1*23 - f/(-9). List the prime factors of 18/(c/6 + -3). 2, 3 Suppose 2 = -2*f + 4*f. Let o = -19 + 18. List the prime factors of (o - f - 0) + 27. 5 Let l(v) be the first derivative of -v**3/3 + v**2/2 + 7*v - 2. Let q(u) = -u**2 - 23*u - 22. Let s be q(-22). What are the prime factors of l(s)? 7 Let y(k) = -k**2 + 2 + 21*k - 8 - 15*k. Let c be y(4). List the prime factors of (-2)/(-3)*(5 - c). 2 What are the prime factors of 256/(-24)*15*-5? 2, 5 Let t = -19 - -16. Let z be 1*(t - -2) - 0. Let l(c) = -c + 2. List the prime factors of l(z). 3 Let x = 29 - 29. Let n be (-4)/(x + (-4)/358). List the prime factors of n/7 - 5/35. 3, 17 Let s(x) = -x**2 + 17*x - 12. Suppose -40 - 4 = -w. Suppose d = -4*d + 25, -w = -2*u - 4*d. What are the prime factors of s(u)? 2, 3 Suppose -3*s + 2*t = -5, 6*s - 3*t = 3*s + 6. Let k = -33 + s. Let w = 30 - k. List the prime factors of w. 2, 31 Let p = 2665 + -626. List the prime factors of p. 2039 Suppose -3*q = 5*z - 40, 4*z = 5*q - 5 - 0. Let v = 8 - z. Suppose 0 = -v*p - p - l + 129, 5*p - 165 = -2*l. List the prime factors of p. 31 Let z(o) = -3*o**2 - 6*o - 1. Let t(h) = h**2 + 3*h + 1. Let v(l) = -5*t(l) - 2*z(l). Let x be v(3). What are the prime factors of (-13)/x + 5/(-15)? 2 Let l = 6 - -864. List the prime factors of l. 2, 3, 5, 29 Let y(b) = b - 14. Let i be y(-16). Let x = i + 100. List the prime factors of x. 2, 5, 7 Let t = -207 + 109. Let u = 11 - t. List the prime factors of u. 109 Let h(d) be the first derivative of -d**2 + 11*d + 5. Let t be h(5). What are the prime factors of 2/(-4)*(-50)/t? 5 Let u(b) = 14*b + 22. Let p be u(6). Suppose 2*o - 152 - p = 0. List the prime factors of o. 3, 43 Let u = -626 - -1387. List the prime factors of u. 761 Suppose 6*i - 257 = 2359. List the prime factors of i. 2, 109 Let d(s) = s - 4*s**2 + s**3 - 66 - 4*s + 54. List the prime factors of d(6). 2, 3, 7 Let s = 781 + -385. List the prime factors of s. 2, 3, 11 Let q(u) = u**2 - 5*u + 1. Let d be q(4). Let j be 3 - 0*d/6. What are the prime factors of 12/18 + 151/j? 3, 17 Let f(v) = -v - 1. Let i be f(-3). Suppose 3*h - 205 + 69 = -w, 0 = -i*w + 3*h + 263. What are the prime factors of w? 7, 19 Suppose -z - 6*v + 135 = -v, -z + 5*v = -85. Let d be -3 - (-4)/(-8)*-6. Suppose -2*j - 4*t + z = -d*j, -2*t = -j + 63. What are the prime factors of j? 59 Let i = 1906 + 342. What are the prime factors of i? 2, 281 Let q(y) = -4*y + 8*y - 2 + 3 + 6*y. Let o be q(5). Let w = o + -24. What are the prime factors of w? 3 Suppose 190*v - 182*v = 12296. What are the prime factors of v? 29, 53 Let y(v) be the first derivative of 14*v**3/3 - 3*v**2/2 + 5*v + 8. What are the prime factors of y(2)? 5, 11 Suppose -11*j = -53 - 2. Suppose j*q = 3*b - 326, -5*b - 2*q + 0*q = -502. What are the prime factors of b? 2, 3, 17 Suppose 38*a - 32340 = -11*a. What are the prime factors of a? 2, 3, 5, 11 Suppose 19 - 49 = 3*z. List the prime factors of (-35)/((-4)/(-3) - z/(-6)). 3, 5, 7 List the prime factors of (192/40)/((-9)/(-780)). 2, 13 Let i = 15 + 7. Let u be (-2)/4 + i/4. What are the prime factors of u - (-3 - (0 + -5))? 3 Suppose 10*j - 3*j - 6944 = 0. List the prime factors of j. 2, 31 Let q = -23 - -44. What are the prime factors of 3/q - (-328)/7? 47 Let h(t) = -523*t + 7. Let g be h(11). What are the prime factors of 2/(-11) + g/(-143)? 2, 5 Let k = 16 - 16. Suppose 3*c + 260 = d, 240 = -3*c - k*c - 3*d. Let a = -55 - c. List the prime factors of a. 2, 3, 5 Let y(p) = p**3 + 16*p**2 + 26*p - 5. List the prime factors of y(-12). 7, 37 Suppose 0 = 2*w - 24 + 8. Suppose 53 = 5*y + w. Suppose -m + y = -22. What are the prime factors of m? 31 What are the prime factors of (-45087)/(-49) + 6/7? 3, 307 Let v be (-1)/(5*(-2)/(-10)). Let g(h) = -h. Let f(k) = 9*k - 11. Let p(n) = v*f(n) - 2*g(n). What are the prime factors of p(-8)? 67 Suppose -5*v = -15*v + 300. What are the prime factors of v? 2, 3, 5 Suppose -2*t + 5*v = -3*t - 90, -235 = 4*t - 5*v. What are the prime factors of 4/10 + (-3874)/t? 2, 3, 5 Let v = 5335 - 3792. What are the prime factors of v? 1543 Let o(y) = -y**3 + 19*y**2 - 25*y + 36. Let w be o(18). Let z = 48 - w. List the prime factors of z. 2, 3, 23 Let s = 402 + -264. Suppose 240 = 4*z - 5*b, 2*z + 2*b = -36 + s. Let h = z - 26. List the prime factors of h. 29 Let h = 2297 - 1215. List the prime factors of h. 2, 541 Let v(t) = -30*t + 19. List the prime factors of v(-3). 109 Let x be (6/(-4))/(4/(-8)). Suppose -u + p = -3*p + 12, 5*u - x*p = 25. Let t(h) = -h**2 + 11*h - 7. List the prime factors of t(u). 17 Suppose -89 - 311 = 5*x. List the prime factors of (x/(-25))/((-4)/(-40)). 2 Let k(h) = 2*h**3 + h**2 - 4*h + 15. What are the prime factors of k(7)? 2, 19 Suppose -4*f + 3255 = -3*g, -5*f = 27*g - 23*g - 4061. List the prime factors of f. 3, 271 Let w = 7 + -3. Suppose -v - w*y - 986 = 2*v, 3*v = 5*y - 995. List the prime factors of (8/(-10))/(12/v). 2, 11 Suppose -391 = -3*m + 242. List the prime factors of (-12)/(-3 - 1) + m. 2, 107 Let b(y) be the second derivative of y**4/12 + 4*y**3/3 - 4*y**2 + 5*y. Let u be b(-9). Let v(h) = 6*h - 1. What are the prime factors of v(u)? 5 Let l(w) = w**3 + 20 + 6*w**2 - 5*w - 16 + 0*w**3 - 9. Let c be l(-4). What are the prime factors of c - -6*5/10? 2, 5 Let u = 1744 + -1143. List the prime factors of u. 601 Let l(d) = -2*d - 16. Let p be l(-9). Suppose 0 = 3*o + 6 + 3, p*o + 496 = 5*u. Suppose 0 = -2*w + 10 + u. What are the prime factors of w? 2, 3 Let i be (-230)/(-6) + ((-2)/(-3))/(-2). Let c(m) = -11*m - 1. Let o be c(2). Let z = i + o. What are the prime factors of z? 3, 5 Let h(k) = 5*k**2 - 5*k + 62. List the prime factors of h(7). 2, 17 Let h be (15/2)/(1/2). Suppose 0 = 3*v - 4*f - h, 5*f + 17 = v + v. Let n(r) = 13*r. What are the prime factors of n(v)? 13 Suppose 19 = 7*o + 75. Let x = 144 + o. What are the prime factors of x? 2, 17 What are the prime factors of ((-168)/(-140))/((-2)/(-10)) + 1647? 3, 19, 29 Let x(c) be the third derivative of -c**6/120 + c**5/10 + c**4/8 - 2*c**3/3 + c**2. Let t be x(5). Let g = t + -22. What are the prime factors of g? 2, 7 Let z = 46 + -14. Let x = 116 - z. List the prime factors of x. 2, 3, 7 Let a(f) = -f**3 + 9*f**2 - 8*f + 3. Let h be a(8). Suppose -g = -0*g - 4*i - 91, -4*i = h*g - 193. List the prime factors of g. 71 Suppose 7*n - 5*n + 5*p = 533, 268 = n + 4*p. What are the prime factors of n? 2, 3, 11 Suppose -5*r - 3777 = -12157. What are the prime factors of r? 2, 419 Suppose -3*g = 2*t - 2268, -4*g - 614 = 2*t - 2882. Suppose -7*b + 770 = -t. What are the prime factors of b? 2, 17 Suppose -10*g = -12*g + 10. Suppose -17 = -5*q - 4*w, -2*w - 5 = g*q - 26. Let k = 37 - q. What are the prime factors of k? 2 Let g be (-20)/50 + 51/15. Suppose f = 104 + g. List the prime factors of f. 107 Let p(c) = -c + 31. Let t be p(0). Suppose -t*h + 20*h + 649 = 0. What are the prime factors of h? 59 Let j = -28 - -32. What are the prime factors of (-730)/(-22) + ((-32)/44)/j? 3, 11 Suppose -5*u = 60 - 160. Let s be ((-48)/20)/(9/(-15)). Suppose -s*h + 104 = -u. What are the prime factors of h? 31 Let x = -284 + 712. What are the prime factors of x? 2, 107 Suppose 0 = -2*n + 4*c + 4, n + n + 4 = -4*c. Suppose n = -5*f + 2 + 493. List the prime factors of f. 3, 11 Let k(h) = -h**3 + 0*h + h**2 - 7*h**2 + 0 + 4*h + 3. List the prime factors of k(-7). 2, 3 Let h = -4826 - -6869. What are the prime factors of h? 3, 227 Suppose 3*q = -3*s - q - 83, 5*q - 15 = s. Let z = s + 37. Suppose z = -m + 49. List the prime factors of m. 37 Let x = 93 + -88. Suppose -x*h = -4*h - 158. List the prime factors of h. 2, 79 Suppose 202876 = 58*u + 31776. What are the prime factors of u? 2, 5, 59 List the prime
{ "pile_set_name": "DM Mathematics" }
Let t(a) = -a**2 - 4*a + 4. Let d be t(-4). Suppose 4*g = j - 29 - 1, 0 = -4*j + d*g + 60. What is the second derivative of v - 2*v**4 + 10 - j wrt v? -24*v**2 Let j be ((-1)/4)/(51/(-34)). Let l(h) be the third derivative of 0*h**4 + 0*h + 0 + j*h**3 + 1/60*h**5 + h**2. Differentiate l(y) wrt y. 2*y Let v(q) be the second derivative of 0*q**2 + 1/10*q**6 + 0 + 0*q**5 - 2*q + 0*q**4 + 2/3*q**3. Find the second derivative of v(j) wrt j. 36*j**2 Let a(r) be the first derivative of 0*r**4 - 8 - 1/5*r**5 - 10/3*r**3 + 0*r + 0*r**2. What is the third derivative of a(l) wrt l? -24*l Let f(i) = -68*i**3 - 7*i - 14. Let o(c) = 69*c**3 + 8*c + 14. Let u(s) = 6*f(s) + 5*o(s). Find the second derivative of u(n) wrt n. -378*n Let u(s) = -s - 1. Let f(p) = 7*p**4 - 3*p**4 + 2 + 2*p + 0*p**4 - 3*p**4 - p**2. Let w(c) = -3*f(c) - 6*u(c). What is the third derivative of w(h) wrt h? -72*h Suppose 0 = -7*h + 3*h. Let x be 1 + (-1 - -2 - h). What is the second derivative of -w + x*w**5 + 2*w**5 - 2*w**5 wrt w? 40*w**3 Let j(a) be the first derivative of 15*a**7/7 - 5*a**3 - 28. What is the third derivative of j(i) wrt i? 1800*i**3 Suppose 2*r + 0 = -4*w + 14, 3*r - 16 = -w. What is the derivative of 2 + 2*t**3 + 4 - r + 2 wrt t? 6*t**2 Let y(l) be the first derivative of 3*l**5/5 + 4*l**2 + 2. Find the second derivative of y(p) wrt p. 36*p**2 Suppose 5*j - 2*h + 57 = -3*h, h = 3. Let a be (8/(-6))/(j/54). Find the third derivative of -6*z + 2*z**2 + z**4 + a*z wrt z. 24*z Let a(k) = -8*k**2 - 2*k - 4. Let b(l) = l**2 + 1 - 5 + 5. Let j(n) = -a(n) - 4*b(n). What is the second derivative of j(c) wrt c? 8 What is the third derivative of 2*k**2 - 2*k**2 + 3*k**6 - 4*k**6 - 11*k**2 wrt k? -120*k**3 Find the third derivative of -9*a**3 + 19*a**2 + 23*a**3 + 6*a**2 - 17*a**3 + a wrt a. -18 Let k(l) be the second derivative of l**7/21 + 3*l**5/10 - 10*l**4/3 - 6*l. Find the third derivative of k(g) wrt g. 120*g**2 + 36 Suppose -26*z - 28 = -30*z. What is the second derivative of 3*w + 0*w - 2*w + z*w**3 wrt w? 42*w Let h(y) be the third derivative of 3*y**7/70 + y**3/6 + 6*y**2. Differentiate h(k) wrt k. 36*k**3 Let f(a) be the third derivative of a**8/840 - a**5/40 - a**3/6 - 2*a**2. Let g(v) be the first derivative of f(v). What is the second derivative of g(n) wrt n? 24*n**2 Let c be 3/(-9) - (-21)/9. What is the second derivative of -c*p**3 + 0*p - 2*p - p - 4*p**3 wrt p? -36*p Let a be ((-3)/2)/(6/(-8)). Let w(x) be the first derivative of -1/3*x**3 + x + 1 + 0*x**a. Differentiate w(j) wrt j. -2*j Let z(x) be the third derivative of -3*x**7/70 - x**6/60 - 19*x**5/60 + x**3/3 + 2*x**2 - 8*x. Find the third derivative of z(f) wrt f. -216*f - 12 Let x(s) be the third derivative of 3*s**2 + 0 + 0*s**4 - 1/60*s**6 - 1/2*s**3 + 0*s**5 + 0*s. What is the first derivative of x(m) wrt m? -6*m**2 Find the third derivative of -9*v**5 - 10*v**2 + 73 - 17*v**2 - 74 wrt v. -540*v**2 Let z(q) be the second derivative of 11*q**8/56 + 3*q**4/2 + 18*q. Find the third derivative of z(b) wrt b. 1320*b**3 Find the second derivative of 26*w**5 - 78 + 151 - 96*w**5 - 74 + 7*w wrt w. -1400*w**3 Let l = 14 - 34. Let z be ((-16)/l)/((-2)/(-5)). Find the third derivative of 5*d**z + 2*d**3 - 4*d**2 - d**3 + d**2 wrt d. 6 Let k be 22*(-1)/(4 - 2). Let y = k - -15. What is the third derivative of 0*t**2 - 3*t**2 + t**4 + 2*t**y wrt t? 72*t Let o(j) be the first derivative of 0*j + 0*j**2 + 0*j**4 - 1/6*j**6 - 2 + 0*j**5 + 1/3*j**3. What is the third derivative of o(f) wrt f? -60*f**2 Find the third derivative of 113*q**2 + 5*q**3 + 123*q**2 - 213*q**2 wrt q. 30 Let d(h) be the first derivative of h**6/120 - h**5/60 + 3*h**2/2 + 1. Let g(t) be the second derivative of d(t). What is the third derivative of g(v) wrt v? 6 Let r = -79 + 79. Let c(v) be the third derivative of 0*v + 2*v**2 + r + 1/60*v**5 + 0*v**3 + 1/40*v**6 + 0*v**4. What is the third derivative of c(n) wrt n? 18 Suppose -f + 10 = 4*f. What is the derivative of x - x - 2*x + 0 + f wrt x? -2 Let k(x) be the third derivative of -17*x**5/60 + x**4/12 - 9*x**2. What is the second derivative of k(z) wrt z? -34 Find the second derivative of 109*i**3 + 4*i**5 - 109*i**3 + 24*i wrt i. 80*i**3 Find the second derivative of -30*q - 4*q**4 + 42*q - 11*q**4 wrt q. -180*q**2 Let s(i) = i**3 - 4*i**2 + 2*i - 6. Let f be s(4). Let r = 17 - 13. Find the second derivative of -f*v**r - 3*v - v**4 + 0*v**4 wrt v. -36*v**2 Let d = -29 - -9. Let s be 5/d + 18/8. Differentiate -2*i + 0*i - 6 + 5 + s wrt i. -2 Let q(i) be the first derivative of 47*i**5/5 + 5*i**2 - 5. Find the second derivative of q(w) wrt w. 564*w**2 Let z = 7 - 6. Let p = z + 0. What is the derivative of -2*x**2 - 2 - p + 4*x**2 wrt x? 4*x Let g(z) be the second derivative of -19*z**4/12 - z**3/3 + 6*z. What is the second derivative of g(h) wrt h? -38 Let w(y) = -2*y + 4*y - 9 + 6. Let n(i) = -i + 3. Let m(b) = 4*n(b) + 3*w(b). What is the derivative of m(a) wrt a? 2 Let i(s) = s**2 + 7*s + 4. Suppose 7*q = 2*q - 35. Let p be i(q). What is the second derivative of -1 - y - y**p + 1 wrt y? -12*y**2 Find the first derivative of 0*p**3 - 11 + 23 + 7*p**3 - 11 wrt p. 21*p**2 Let u(x) be the third derivative of -x**7/30 + x**4/3 - 12*x**2. What is the second derivative of u(v) wrt v? -84*v**2 Let t(v) be the first derivative of 6*v**7/7 - 4*v**3/3 - 7. Find the third derivative of t(n) wrt n. 720*n**3 Let a(c) = -5*c**2 - 6. Let h(p) = -11*p**2 - 13. Let g(o) = 10*a(o) - 4*h(o). Find the first derivative of g(k) wrt k. -12*k Let b(s) be the second derivative of -s**4/3 + 9*s**3/2 - 4*s. What is the second derivative of b(p) wrt p? -8 Let c(h) be the first derivative of 0*h**2 + 0*h**5 + 1 - 1/3*h**6 + 0*h**4 - 2/3*h**3 + 0*h. Find the third derivative of c(p) wrt p. -120*p**2 Let l(p) be the first derivative of -4*p**5/5 - 12*p - 10. Find the first derivative of l(d) wrt d. -16*d**3 Let w(a) = -9*a**3 + 17*a - 8. Suppose -69 - 135 = 4*g. Let p(x) = -x**3 + 2*x - 1. Let l(z) = g*p(z) + 6*w(z). Differentiate l(i) wrt i. -9*i**2 Suppose 21 + 3 = 3*i. Find the second derivative of 4*g**5 - i*g + 22*g**4 - 22*g**4 wrt g. 80*g**3 What is the third derivative of 23*h**5 - 3*h**2 + 14*h - 27*h + 13*h wrt h? 1380*h**2 Let w(v) = 2*v**2 - v. Let y(l) = -35*l**2 - 4*l + 10. Let t(g) = 4*w(g) - y(g). What is the derivative of t(i) wrt i? 86*i Let n(m) = -5*m**2 - 4*m - 6. Let y be 9 + ((-3)/(-3) - 1). Let i(o) = 11*o**2 + 9*o + 12. Let s(d) = y*n(d) + 4*i(d). Differentiate s(c) wrt c. -2*c Let s(k) be the third derivative of -k**7/120 - 3*k**4/8 - k**3 - 9*k**2. Let a(c) be the first derivative of s(c). Differentiate a(w) with respect to w. -21*w**2 Let n(z) be the third derivative of 7*z**6/120 - z**5/15 + 6*z**2. Find the third derivative of n(l) wrt l. 42 Let q = 35 - 35. Let k(g) be the third derivative of 0*g**3 - g**2 + 1/30*g**5 + q - 1/40*g**6 + 0*g**4 + 0*g. What is the third derivative of k(m) wrt m? -18 Let w = 24 + -17. Find the third derivative of w*b**2 + 35 + 7*b**5 - 35 wrt b. 420*b**2 Suppose -3*t - 1 = 14. Let m(a) = 6*a**4 + 3*a. Let n(f) = 4*f + f + f**4 - 4*f. Let h(l) = t*n(l) + m(l). Find the second derivative of h(o) wrt o. 12*o**2 What is the second derivative of 4*n + 0*n**5 - 25*n**5 - 2*n**5 + 2*n wrt n? -540*n**3 Let z(r) = -29*r**3 + 29*r**2 - 3*r. Let v(t) = -58*t**3 + 59*t**2 - 5*t. Let b(k) = 4*v(k) - 7*z(k). Find the third derivative of b(h) wrt h. -174 Let g(i) = -29*i**4 + 11*i - 50. Let q(b) = -14*b**4 + 6*b - 25. Let t(n) = 6*g(n) - 11*q(n). What is the first derivative of t(w) wrt w? -80*w**3 Suppose 16 = 5*b + 4*c, 3*c + 2 + 1 = 0. Suppose 7*j = b*j + 3. What is the derivative of 2*h**4 - j - 1 + 5 wrt h? 8*h**3 Let l(i) be the first derivative of i**7/420 - i**6/120 - 4*i**3/3 + 2. Let q(p) be the third derivative of l(p). What is the third derivative of q(h) wrt h? 12 Let m(z) be the second derivative of -z**6/40 - z**4/12 - z**2 + z. Let n(l) be the first derivative of m(l). What is the second derivative of n(g) wrt g? -18*g Find the second derivative of 6*c + 7*c**3 + c**3 - 2*c wrt c. 48*c Let l(r) be the second derivative of 14*r**6/15 + 7*r**3/3 + 7*r. What is the second derivative of l(j) wrt j? 336*j**2 What is the derivative of -46 + 13*s**2 - 1
{ "pile_set_name": "DM Mathematics" }
(d) -5 b Let u = -34.6 + 31. Let g = 1.6 + u. Let m = 421/9 + -47. What is the closest to m in -2/11, g, -1/5? -1/5 Suppose 3*k = 2*l - 20, -4*l + 3 = 2*k - 5. Suppose -3*m - 4*w - 20 = -m, 4 = -l*m + w. What is the nearest to -0.1 in -0.6, m, 0? 0 Let h = -25/62 + -3/31. Let f = 4.6 - 8. Let b = f - -4.4. What is the closest to b in -1, 0.1, h? 0.1 Let l = -54 - -52. Suppose 3 = -q - k + 2, k = -5*q + 7. Suppose q = -4*p + 2*p. What is the closest to -2 in l, p, 2/15? l Let h = 24 + -21. Let r = 0.182 - -0.018. Which is the closest to r? (a) 0 (b) h (c) 5 a Let t = 0.07 - 3.07. Let g = -2.7 - t. Let b be 336/18 - 12 - 8. What is the closest to 0.1 in g, 1, b? g Let o = 379/2 + -189. Let j(u) = -2*u**2 + 3*u - 2. Let p be j(2). What is the closest to 0.2 in -2, p, o? o Let z = 1217 + -1216. Which is the closest to -1? (a) z (b) 1/3 (c) -2 (d) -9 c Let p(a) = -4*a + 26. Let s be p(6). Let t be s/((-3)/(2/2)). What is the nearest to -0.1 in t, 2/5, 0? 0 Let s = -49.6 - -50.1. Which is the nearest to -0.1? (a) -4 (b) 3 (c) 0.29 (d) s c Suppose 0 = -61*h + 53*h + 16. Let d = 25 + -17. Let j = 7 - d. Which is the closest to 0? (a) j (b) 5 (c) h a Let u = -22 + 17. Let m = u + 5.5. Which is the closest to -3? (a) m (b) -0.09 (c) -1 c Let z = -0.07 + -2.93. Let c = -2 - z. Let f = -976 + 978. What is the closest to f in -3, -1/5, c? c Let g = -61 + 61. Which is the nearest to g? (a) -0.9 (b) 0.1 (c) -5/4 (d) 10 b Let g = -4.6 + 0.8. Let y = g - -4. Let w = -3.95 - -3.75. What is the closest to -2/11 in w, y, -2/7? w Let f be -2 - 1*33/(-12). Let j = -81 + 84. Which is the closest to 0.2? (a) -0.05 (b) f (c) j a Let s = -0.1 - -1.1. Let k = -35 - -34.55. Let z = 0.05 - k. Which is the nearest to 0? (a) 0.2 (b) s (c) z a Let o = -4.51 + 4.21. What is the nearest to 0.1 in -1/4, 1/5, 5, o? 1/5 Let i = 0.3089 - 0.6089. What is the closest to -0.1 in 3, 1/17, i, -1? 1/17 Let l be (535/75 - 7) + 146/30. Let j be ((-44)/(-3))/(-4) - 4/(-6). What is the closest to 0 in l, 0.5, j? 0.5 Let i(f) = -6*f**2 - 36*f + 9. Let u be i(-6). What is the closest to -0.1 in 4, 1, u? 1 Let d = -45991 + 45993. Let z be 1*(-5)/2*-2. Suppose -z*l = -4*l. Which is the nearest to l? (a) -1 (b) d (c) 0.4 c Let k = 602 + -8427/14. What is the nearest to -8/7 in -0.2, k, 1/9? -0.2 Let z be (-3)/14 - 2/(-4). Suppose -2*n - 3 = -1. Suppose 0 = -3*h - 3 - 12. Which is the nearest to n? (a) h (b) z (c) 0 c Let y = 366 - 364. What is the nearest to -14 in y, 1/2, -2, -0.03? -2 Let f = 31/21 + -25/21. Which is the nearest to f? (a) 3 (b) -0.1 (c) -1/2 b Let r = 12 - 13.2. Let v = 1.4 + r. Let g = -0.06 - -1.06. What is the nearest to g in -4, -0.2, v? v Let k = 3.889 - -0.111. Which is the closest to 2/3? (a) -2/9 (b) k (c) -2/7 a Let z = 0.0604 + -0.0604. What is the nearest to 1 in -4, z, -2/7, 7? z Let c = -0.537 + 0.137. What is the closest to 67 in 0.3, c, 0.4? 0.4 Let p = 0.2 - 0.1. Let t = -3.8 + 4. Let f = 191 + -190. Which is the closest to p? (a) f (b) 0.3 (c) t c Let p = -54 - -54. Let i = 2.1 - 2. Which is the closest to 3? (a) p (b) -0.2 (c) i c Let s = 5.6 + -0.6. Let v be 4776/(-728) - (-4)/(-14). Let h = -7 - v. What is the nearest to 1 in h, -0.5, s? h Let f(n) be the second derivative of -n**5/20 - 5*n**4/12 - n**3/2 + n**2 - 2*n. Let w = 95 + -99. Let a be f(w). What is the nearest to a in 4, -1, -0.4? -1 Let h be 2 + (-2 - 72/3). Let w(t) = -2*t + 11. Let c be w(6). Let b be (4 + c)*(-40)/h. What is the nearest to 1 in b, -3/2, -4? -3/2 Let i = -0.04 + 0.01. Let d = i - -0.13. Suppose -55*r = -59*r. What is the closest to d in r, -2, -3? r Let y = -0.31 + 0.01. Let f = -5 + 21/4. Which is the nearest to f? (a) y (b) -1 (c) 2/3 c Let t = -41 - -38. Let f = -0.47 + 0.27. Which is the closest to -0.2? (a) f (b) t (c) -1/2 a Let l = -9.18 - -0.18. Let x = l + 10. Let b = -766/11 - -70. What is the nearest to x in -2, -0.1, b? b Let r = -990/7 - -141. Suppose -9 = -0*m - 3*m. Which is the closest to -6/7? (a) 1 (b) m (c) r c Suppose 3*v + 2*m - 13 = -1, 2*v - 15 = m. Let f be (v/(-45))/((-4)/6). Let r be 8/15 + 6/(-40 - -10). What is the nearest to -1 in r, 5, f? f Let i = 0.097 + 0.003. Which is the closest to i? (a) 9 (b) -4 (c) -2/7 (d) -5 c Let f = -0.1 - 1. Let r = f - -2.1. Let g = 6 - 3. What is the nearest to 1 in g, r, 0.4? r Let s = 0 - 1. Let x be (1 + 4)/((2 + s)/1). Let o = 3 + -1. Which is the closest to o? (a) 2 (b) 0 (c) x a Let l = -0.13 + 0.025. Let h = -0.005 - l. Which is the nearest to 4? (a) -1 (b) 1 (c) h b Let z = 606.2 + -607. What is the nearest to -3 in -0.2, z, 5? z Let z be 8/(-2) - 0 - 102/(-27). Let r = 4 + 0. Let o = r - 4.3. Which is the closest to 0.2? (a) 0.5 (b) z (c) o a Let o = 244/9 + -1690/63. What is the nearest to -31 in 2, o, 0.2, -0.5? -0.5 Let u = -2495/183 + -2/61. Let r = u + 14. Let s be 0 + 2 + (-14)/4. Which is the closest to r? (a) s (b) 0 (c) 0.8 b Let g = 0.894 + -1.064. What is the closest to -2 in -0.5, g, 2/15? -0.5 Let u = -0.5 - -1. Which is the nearest to 0.1? (a) -0.01 (b) 3 (c) u a Let d = -127 - -158.5. Let z = 4.5 + d. Let i = z + -36.3. Which is the closest to -1/4? (a) i (b) 1.1 (c) 1 a Let c be 15/(-5) - 2 - (-24)/6. What is the nearest to c in -0.1, -0.3, 1, -1? -1 Let g = -34 + -4. Let s = g + 54. Let k = s - 16. What is the nearest to 0.1 in 1, k, 2/7? k Let u = 290 - 1157/4. Which is the nearest to 1/28? (a) 3 (b) u (c) 2 b Let d be (-63)/45 + (-44)/(-10). What is the closest to -0.04 in 1/4, d, -0.1, -3/4? -0.1 Let m = 1280 - 1280. Which is the closest to -1/4? (a) -17 (b) -4 (c) m (d) 1 c Let b = 16 + -16. Let i = -2 + 3. What is the closest to 2/7 in 1/4, i, b? 1/4 Let o = 0.9 + -0.5. Let h = 0 + -5. Let v = -1410.5 + 1411. Which is the nearest to o? (a) 0.1 (b) v (c) h b Let d = -1281.9 + 1282. Let s = 75 - 227/3. What is the nearest to d in -4, s, -0.01? -0.01 Let b = 0.1 + -2.1. Let x = b - -3. Let j = -504 - -504.5. What is the closest to 0.1 in x, -3, j? j Let g = 0.04 + -0.14. Let d = -10 + 6. Which is the nearest to d? (a) g (b) -1 (c) -3 c Let a be ((-1)/(-9))/((-24)/54 - (-65)/234). Let x = -4.08 + 0.08. What is the closest to a in x, -5, 0? 0 Let z be (2/4)/(6 + (-161)/28). Let f be ((-1)/(-14))/(1/(-4)). Let d = -31/10 - -7/2. What is the nearest to f in z, 1/2, d? d Let t = -31 - -65/2. Which is the nearest to 1? (a) t (b) -2 (c) 29/6 a Let i = -0.5 - -0.3. Let x = -1.2 - i. Let k = -1.005 - -0.005. What is the closest to x in -4, 0.3, k? k Suppose 2*o + 53 = 51. Which is the closest to 3? (a) 2 (b) -4 (c) o a Let f = -0.068 + -0.032. Suppose -4*z = -5*c + 3*c - 10, c = -4*z - 17. Let h be (2 - (-30)/c)*3. What is the nearest to f in 2, 4, h? 2 Let q = 35 + -42. Let w = q - -7.05. Let k = -0.15 + w. Which is the closest to k? (a) 2 (b) -4 (c) -5 a Let l be (87/12 + 1)/(60/32). Let u = l - 19/5. What is the closest to 0.1 in 4, -0.5, u? u Let q = -19 + 21. Let s = -114 - -119. Which is the closest to q? (a) -3/8 (b) s (c) -2 a Let j = -251 + 144. Let n = -98 - j. What is the closest to n in -0.3, -0.6, 0.5? 0.5 Let s = 13.14 + -10.14. Let q be (2/4)/((-14)/(-20)). What is the nearest to 1 in q, 2/5, s? q Let s = 379 + -376. What is the closest to -0.1 in s, 4, -1? -1 Let t be 77/(-220) + 3/4. Which is the nearest to -0.5? (a) -2/17 (b) t (c) 33 a Let n = -387 + 384. Which is the nearest to -1? (a) n (b) -1/2 (c) 0.44 b Let p = -0.71 - -9.11. Let t = 8 - p. Suppose 6*g + 11 = -19. What is the closest to 0.1 in t, g, -4? t Suppose -5*n = 3*m - 23, n + 8 = 4*m + 2*n. Let c = 17 - 25. Let k = 5 + c. What is the closest to m in -2/7, k, 0? 0 Let n = -0.1 + 0.2. Let q = 1146 + -1146. What is the closest to 2/5 in -2, n, q? n Let r = 36 + -17. Let o = r + -18.8. Let j = 70 - 72. What is the nearest to 0.07 in 0.3, j, o? o Let o = 0.29 - -1.21. Let k = 1.5 - o. Let r = -2.1 + 1.6. Which is the nearest to k? (a) -0.3 (b) r (c) 3 a Suppose 0 = -4*j + 14 + 98. Suppose -3*s - 5 = 2*p - p, 4*s = 4*p - j. Let d = 5 + -5.4. What is the closest to 1/3 in p, 3, d? d Let p = -22 + 22.4. What is the closest to 0 in p, -3/4, -0.2? -0.2 Let m be (-5)/((-80)/(-12)) + (-25)/(-60). What is the closes
{ "pile_set_name": "DM Mathematics" }
1 w. 5/84 Calculate prob of picking 1 b and 1 m when two letters picked without replacement from {m: 3, b: 2, p: 1, w: 7, e: 1}. 6/91 Three letters picked without replacement from uuggugrguur. What is prob of picking 3 g? 4/165 Two letters picked without replacement from bciymcmcym. Give prob of picking 2 y. 1/45 Two letters picked without replacement from {l: 3, q: 3}. Give prob of picking 2 l. 1/5 Calculate prob of picking 1 a and 3 f when four letters picked without replacement from {a: 5, p: 4, f: 8}. 2/17 Calculate prob of picking 1 o and 3 d when four letters picked without replacement from odddoddooddddddodod. 143/323 Four letters picked without replacement from {n: 5, o: 3}. What is prob of picking 3 n and 1 o? 3/7 Two letters picked without replacement from {h: 1, r: 5, o: 11}. What is prob of picking 2 o? 55/136 Two letters picked without replacement from vug. Give prob of picking 1 g and 1 u. 1/3 Four letters picked without replacement from chdllhddld. What is prob of picking 2 d, 1 c, and 1 l? 3/35 Three letters picked without replacement from rfabdba. What is prob of picking 1 b, 1 a, and 1 d? 4/35 Two letters picked without replacement from {w: 3, k: 11}. Give prob of picking 2 w. 3/91 Two letters picked without replacement from ccxcxqxcqtcc. What is prob of picking 1 c and 1 t? 1/11 Two letters picked without replacement from rrcccrrccr. What is prob of picking 2 c? 2/9 Calculate prob of picking 1 z and 2 t when three letters picked without replacement from {t: 2, z: 13, x: 5}. 13/1140 What is prob of picking 1 v and 3 p when four letters picked without replacement from {v: 2, x: 2, p: 9, l: 3, y: 1}? 6/85 What is prob of picking 2 f and 2 a when four letters picked without replacement from afaaakfazffaakkzfak? 70/969 What is prob of picking 3 t when three letters picked without replacement from rrrtrrrrrtrt? 1/220 Two letters picked without replacement from crlkjccggggklc. Give prob of picking 1 c and 1 j. 4/91 Calculate prob of picking 1 h and 2 k when three letters picked without replacement from {p: 2, s: 4, h: 6, g: 1, k: 2}. 6/455 Three letters picked without replacement from kszzksgkzsskmsssgk. What is prob of picking 2 z and 1 m? 1/272 Two letters picked without replacement from {o: 15, z: 4}. Give prob of picking 2 z. 2/57 Four letters picked without replacement from {c: 5, n: 2, l: 2}. Give prob of picking 2 l and 2 n. 1/126 Two letters picked without replacement from {u: 2, e: 5}. What is prob of picking 2 e? 10/21 Calculate prob of picking 2 w and 2 z when four letters picked without replacement from hjwwhjjwhwhzhjwhhzz. 5/646 What is prob of picking 2 m and 1 f when three letters picked without replacement from {m: 11, f: 5}? 55/112 Calculate prob of picking 2 m when two letters picked without replacement from {i: 1, m: 3, n: 1}. 3/10 What is prob of picking 1 p and 1 n when two letters picked without replacement from pnng? 1/3 Four letters picked without replacement from {w: 4, c: 2, l: 7, h: 5}. Give prob of picking 3 l and 1 c. 7/306 What is prob of picking 1 w, 1 j, and 1 n when three letters picked without replacement from wnwljjjjjjjjjljjwwj? 16/323 What is prob of picking 1 e and 2 l when three letters picked without replacement from ellbbglzejgjeb? 9/364 Three letters picked without replacement from jjfbpbfbkbppbb. Give prob of picking 1 b, 1 j, and 1 k. 3/91 Three letters picked without replacement from {b: 3, l: 2}. Give prob of picking 1 l and 2 b. 3/5 What is prob of picking 3 o and 1 b when four letters picked without replacement from {o: 7, b: 3, t: 4, n: 2, l: 1, x: 1}? 7/204 Four letters picked without replacement from gmmmgmmggom. Give prob of picking 3 m and 1 g. 8/33 What is prob of picking 3 g when three letters picked without replacement from {h: 3, i: 3, e: 1, g: 3, q: 2, t: 1}? 1/286 Four letters picked without replacement from {f: 2, n: 2, d: 5}. What is prob of picking 3 d and 1 f? 10/63 What is prob of picking 1 i and 3 t when four letters picked without replacement from {i: 6, v: 6, t: 7}? 35/646 Calculate prob of picking 1 b and 1 x when two letters picked without replacement from xbboxdxbbooboobx. 1/5 Four letters picked without replacement from accaccaaccaa. What is prob of picking 4 c? 1/33 Calculate prob of picking 4 q when four letters picked without replacement from {w: 1, q: 18}. 15/19 What is prob of picking 2 q, 1 o, and 1 z when four letters picked without replacement from qqqqqqyqyqjqqzoooyo? 15/323 What is prob of picking 2 t and 2 e when four letters picked without replacement from {e: 4, a: 3, t: 2, x: 1, m: 1}? 1/55 What is prob of picking 1 a and 3 b when four letters picked without replacement from {b: 6, a: 6}? 8/33 What is prob of picking 1 z, 1 a, and 1 e when three letters picked without replacement from zooqedaz? 1/28 Calculate prob of picking 1 y, 1 t, 1 f, and 1 x when four letters picked without replacement from xfccyexecytc. 4/495 Calculate prob of picking 1 v, 2 o, and 1 e when four letters picked without replacement from ooeoeevueeeuu. 18/715 Two letters picked without replacement from pupppupupu. Give prob of picking 2 u. 2/15 What is prob of picking 2 s when two letters picked without replacement from {s: 12, u: 7}? 22/57 Calculate prob of picking 3 x and 1 a when four letters picked without replacement from aaxaxaxxarxxarax. 7/52 Four letters picked without replacement from eeehnnnh. What is prob of picking 1 e, 1 h, and 2 n? 9/35 Two letters picked without replacement from xlvlw. Give prob of picking 1 l and 1 w. 1/5 Two letters picked without replacement from {l: 8, w: 5, q: 2, v: 2}. Give prob of picking 1 l and 1 q. 2/17 Two letters picked without replacement from ekkggnb. Give prob of picking 2 g. 1/21 Calculate prob of picking 3 h when three letters picked without replacement from {h: 3, l: 1, b: 11}. 1/455 Two letters picked without replacement from yyytytttttyy. What is prob of picking 1 y and 1 t? 6/11 What is prob of picking 1 f and 3 l when four letters picked without replacement from {l: 15, f: 4}? 455/969 What is prob of picking 3 x when three letters picked without replacement from {u: 7, x: 3}? 1/120 Calculate prob of picking 1 w, 1 b, and 1 r when three letters picked without replacement from bwbhhr. 1/10 Two letters picked without replacement from {s: 1, k: 1, j: 8, q: 1, u: 1}. Give prob of picking 1 u and 1 k. 1/66 Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {t: 1, w: 2, q: 1, n: 4, z: 3}. 4/55 What is prob of picking 1 m and 1 a when two letters picked without replacement from {a: 7, j: 2, m: 4}? 14/39 Four letters picked without replacement from {z: 4, o: 15}. What is prob of picking 2 z and 2 o? 105/646 Two letters picked without replacement from {u: 10, z: 4}. What is prob of picking 2 z? 6/91 What is prob of picking 2 r and 1 k when three letters picked without replacement from {r: 3, k: 4, s: 1}? 3/14 Calculate prob of picking 2 l when two letters picked without replacement from {l: 6, k: 11, y: 1}. 5/51 Four letters picked without replacement from {x: 5, m: 3}. Give prob of picking 1 m and 3 x. 3/7 Calculate prob of picking 1 n and 2 w when three letters picked without replacement from {d: 1, w: 2, n: 1, p: 1}. 1/10 Calculate prob of picking 3 s when three letters picked without replacement from bbbbbbbsssbbbbbb. 1/560 What is prob of picking 4 w when four letters picked without replacement from {w: 2, i: 17}? 0 Two letters picked without replacement from rciskciikkk. Give prob of picking 2 k. 6/55 Three letters picked without replacement from hhhuamuuuubuuhmmhamh. What is prob of picking 1 h and 2 m? 3/95 Three letters picked without replacement from {w: 1, g: 5, q: 1, t: 1, z: 1, c: 5}. Give prob of picking 1 g and 2 w. 0 Calculate prob of picking 2 i when two letters picked without replacement from isiiiixriiipisirpsii. 33/95 Calculate prob of picking 1 q and 1 o when two letters picked without replacement from nunxnnonoqnqnq. 6/91 Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {q: 11, z: 3, t: 4}. 4/51 What is prob of picking 1 b and 1 i when two letters picked without replacement from bheewiiwhtewwie? 1/35 What is prob of picking 2 l when tw
{ "pile_set_name": "DM Mathematics" }
-86)). -38 Evaluate -25 - (-35 + -14 + -20). 44 What is the value of 271 + -237 + 5 + -3 + 2 + 1? 39 Calculate -1 + ((-8 - -11) + -8 - -18) + 2 + -15. -1 What is the value of (790 - 723) + 24 + 12? 103 -55 + (8 - (-2 + (0 + 4 - -7))) -56 What is the value of 6 - (16 + 87 + -36)? -61 Calculate 0 - (15 - 7) - (529 + -526). -11 What is the value of -10 - (-11 + 8 + -25) - (-6 - 0)? 24 What is the value of 7 + (2 - 1 - 33) + (-2 - -9)? -18 What is the value of 17 - (60 + (21 - (5 + 4)))? -55 What is -1 + ((-13 - ((-1 - 10) + 1)) + -1 - -43)? 38 What is (9 - (-1 + (5 - 3))) + (9 - -43) + 1? 61 -4 + -7 - (-35 + 5) - 5 14 -50 - -14 - (-7 + (0 - 7)) -22 Evaluate -177 - (-153 - (-183 - -127)). -80 (0 - 5) + (-8 - -24) + 0 + 31 42 Calculate (37 - (7 + 23) - (-1 + 13)) + (-3 - -33). 25 Calculate 24 + 5 - (-60 - (-46 - -23)). 66 What is the value of 12 - 0 - (-15 - -73)? -46 -14 + (7 - 5) + -3 -15 What is -39 + -7 + 215 + -81? 88 42 - (45 + 26 - 87 - (1 + 1 - 8)) 52 -27 + (-25 + 44 - -15) - (96 + 2) -91 55 + (8 - (-2 + (-2 - 0 - -21))) 46 What is the value of 11 - ((22 + -25 - -73) + -9)? -50 (1 - 8) + 0 + 50 + -47 + -16 -20 What is -45 + (-57 - -59) + (6 - -1)? -36 Calculate -27 + 38 - 15 - (18 + -2) - 36. -56 Evaluate 5 + -63 + (80 - (99 - 30)). -47 What is 1 - (2 + 1) - (8 + (-12 - (9 - 42)))? -31 What is the value of (-10 - 5) + 1 + 6 + -1 + -10? -19 Calculate 7 + (-192 - -189 - (1 + 83)) - 3. -83 -55 - (-229 - -87) - (-4 + 40) 51 5 + -71 - (93 + -104) -55 51 + -60 + -88 + 39 + (0 - (-1 - -3)) -60 Calculate (131 - 131 - (21 - (-1 + 0))) + 11 + 36. 25 Evaluate -4 + -22 + 31 - (35 + -4 + 9). -35 Calculate -12 + (-11 - (-6 + 6 - (-6 - (8 - 36)))). -1 What is the value of -14 + (-70 - (44 - 8))? -120 What is 3 + (-19 - (6 - -14) - 1)? -37 What is the value of (26 + 10 + -10 - 122) + 40? -56 -36 - (4 - (3 + -13 + 16 + -7)) -41 What is -128 + 10 - (-614 + 376)? 120 -4 - (7 - (-4 - -42) - (7 - 26)) 8 Evaluate -15 - -3 - (-2 - -37 - (-41 + 46)). -42 Evaluate 17 + -3 + (-2 - 15) + 5 + 0. 2 -13 + (-11 - -7) + (-54 - (-1 + -8)) -62 Evaluate -8 + (-3 + 37 - (-1 - (2 - (-4 - -12)))). 21 Calculate -28 + (9 - (-71 - -56) - (-1 - -16)). -19 Evaluate -32 - (-1 - (6 - (-27 + 27))). -25 Evaluate 2 + -77 + -1 + 58 + -43. -61 What is -2 + 0 + 693 + -693 + -28? -30 What is the value of (19 + -10 - 5) + 38 - (8 + -1 + 1)? 34 What is -8 - (-1 - 3) - 3 - (321 - 306)? -22 What is the value of 79 + (-13 - 52) - (-1 + (-9 - 1))? 25 Calculate -3 - (-26 + (-4 - 0)) - (562 - 554) - -13. 32 Evaluate -253 + 199 + 8 + -69 + -2. -117 0 + 67 - (50 + -48 + 12) 53 What is -24 + 1 + (43 - 94 - -13 - -36)? -25 What is the value of -4 + (-9 - -11) + (13 - (5 - 19))? 25 Evaluate -33 - (-89 + -69 + 101). 24 Calculate 38 + -81 + (43 - 37). -37 What is the value of -45 + (13 - (-20 + 15)) + -11? -38 Evaluate 20 - (-41 + 27) - (-9 + 3). 40 What is (5 - (-9 - (-3 - 1))) + -64 + 4 + -4? -54 What is -3 - -65 - (540 - 500)? 22 Calculate -1 + 26 + (427 - 140) + -237. 75 What is 64 - 81 - (-3 - 30) - (3 - 31)? 44 Evaluate -11 + (39 - 15 - (9 + 1)). 3 -39 + 1 + 18 + (-13 + 1 - (181 - 186)) -27 What is (87 - 90) + (-25 - 67) + 1 + 2 + 1? -91 Evaluate 2139 + -2125 - ((0 - 0) + (9 - 2)). 7 What is -3 + (71 - (36 + -40 + 31))? 41 What is the value of -54 + 74 + -38 + 52? 34 What is (1 - -22) + 122 + -54 + -80? 11 What is 15 + -45 + 30 + -1 + 18 - 12? 5 Evaluate 41 - 1 - (5 - (1 - -10)). 46 What is -32 + (-57 - (-19 + (-32 - -84)))? -122 What is the value of 15 + -4 + (7 - (0 - 3 - -3))? 18 Calculate (23 + (-31 - -14) - 5) + 4 + (-32 - 0). -27 What is the value of (0 - 96) + (289 + -277 - 9)? -93 -24 + (24 - 0) - (13 + 12) -25 -32 + -57 + 93 - -47 51 -33 + (-5 - -33) - (69 - -11) -85 -100 - (10 - 56 - 2) -52 Calculate (-23 - -33) + (4 - 6). 8 1 + 1 + 0 + 107 + (396 - 386) 119 Calculate 15 + -9 + (-1 - -3) + (-452 - -408). -36 Evaluate (2 - (1 + -3)) + -2 + -75 + (57 - 33). -49 What is the value of 37 + 1 - (-4 + 12 - (38 - 22))? 46 -133 + -15 + 18 + 20 + 11 - 8 -107 What is (-2 - 14) + (-3 + 0 - (11 - 12)) + -4? -22 Evaluate 29 + 28 + -49 - -27 - 31. 4 1 + (-5 - 23) + (-12 - -56) 17 Evaluate 32 + -113 - (-108 - -7). 20 What is -21 - (-50 + (-51 - -30))? 50 Evaluate -121 - (-216 + -81 - -133). 43 What is the value of 84 - (22 - (-22 - -5))? 45 18 + 6 + 4 + (-17 - -3) + -25 -11 Calculate (-21 - 0) + -88 + 38. -71 What is 112 - 0 - (-79 + 183)? 8 What is the value of 80 + (29 - (100 + -5))? 14 What is -19 + (-12 + 18 - -10) + 18 - -32? 47 10 + -54 + (-103 - -171) 24 What is (0 - (-18 + 28) - (18 + 4)) + -5? -37 Calculate (-140 - -127) + (-1 + 67 - 7 - (-1 + 9)). 38 -32 - (-6 + 48 + -98) 24 What is 51808 + -51712 + 2 + -32 + -1? 65 What is the value of -214 + -54 + 149 + (2 - -19)? -98 Calculate 6 + (11 + 1 - 11) + -14. -7 What is (-1 - -22) + -11 + -20 + 4? -6 What is the value of -6 + -69 + 81 + -86? -80 Evaluate (2 - (2 - -8) - -2) + (-129 - (9 + -27)). -117 Evaluate (18 - -15 - 45 - 6) + 66. 48 Calculate -67 + (54 - -29) + -1. 15 Calculate -4 + 1 + 1 + 9 + -17 + -1 - 81. -92 What is 41 - (-58 - -146) - -41? -6 (-12 - -10 - -14) + (-94 - (22 + -7)) -97 Evaluate -10 - (-8 - 2 - (-58 - -58)). 0 Calculate -5 - ((-17 - -2) + (-70 - -68)). 12 Calculate 43 + -54 - (4 - (-6 - -7 - 3)). -17 29 - (-5 + 31) - (-6 + 6 + 148) -145 What is the value of 37 + -6 + -2 + -7 + 18 + 6 + -1? 45 What is the value of (18 - 63) + (-3 - -22 - 14)? -40 What is (10 - 6) + (18 - (-7 + -2))? 31 Calculate 23 - (3 + -26 + 14) - 11. 21 What is the value of (-45 - -10) + 48 - (0 - -73 - 1)? -59 Evaluate -108 + 25 + 47 - (0 - 23). -13 Calculate (729 - 660) + (2 - 2). 69 Evaluate 17 + -200 + 214 + (-3 - 47). -19 -1 + 10 + -20 + 9 - 47 -49 (-14 - (86 - 89)) + (59 - (-2 + 2)) 48 Evaluate (4 - 3) + -17 + (3 + 2 - -7). -4 What is the value of -2 + 2 + (-10 + -1 - 11 - -14)? -8 Evaluate (14 - -26 - -34) + -89. -15 What is the value of 26 + -34 + -43 + 90? 39 What is -12 + -28 - (-7 + (-9 - -4) + -1)? -27 3 + -4 - (-29 - (14 - 53)) -11 What is (2343 - 2387) + (-72 - 5)? -121 What is -25 - -83 - (3 + -7 - -4) - 2? 56 What is -60 + 13 + 18 + 11? -18 What is -9249 + 9223 - (1 + -17 - 2)? -8 Evaluate 41 - (32 - 9) - 70 - (-1 + -13). -38 What is (-25 - -9) + (-189 - -193)? -12 Calculate 37 - (115 + -81 - 154). 157 15 + -7 + 51 + -30 29 -151 - (-146 + 125 + -40) -90 Calculate -22 + 61 + -5 + -147. -113 Evaluate -15 + (20 - (73 + 6) - -25). -49 What is the value of -73 + ((17 - 15) + -49 - -31)? -89 34 + 22 + (147 - 257) -54 Evaluate 8 + (-26 + 5 - -4 - -6) + 2 - 1. -2 Evaluate (-10 - 15) + -15 - (45 + -42). -43 (1 - 8) + (-31 - -6) + 0 + 12 -20 (-96 - -49) + -1 + 155 + 0 + 12 119 (-10 - ((-3 - -6 - -5) + -9)) + 58 49 What is (10 - (16 + 1 - 8)) + (-7 - -2) - 12? -16 Evaluate -8 - (-88 - 12) - (-6 - (5 + -26)). 77 Calculate (1 - -67) + -10730 + 10537. -125 What is the value of (6 - 21) + (8 - -134 - (18 + -8)) - -7? 124 What is 0 - -55 - (-284 - (22 + -353))? 8 Evaluate 5 + (41 + -50 - (3 + -2)) + 25. 20 Calculate (-65 - -106) + 33 + -69. 5 Evaluate 0 + 7 - ((109 - -4) + -3 + (-6 - -26)). -123 Calculate 120 - (34 + -21) - (34 + -3). 76 What is (-97 + -8 - (14 + -26)) + (-9 - -10) + -2? -94 Evaluate 3 - ((45 - (84 + -18)) + (0 - -127)). -103 (-71 - -4) + 1233 + -1168 -2 Evaluate 74 + (-10 - 35) - ((3 - 4) + -14). 44 -602 + 579 - (20 + 0 + -5) -38 What is the value of -32 - -43 - (3 + -2 + -27)? 37 Calculate -21 + 46 + -1 - 30. -6 What is 62 + (-284 - -146) - -20? -56 Calculate 18 + -31 + 6 - ((10 - 6) + (2 - 126)). 113 -19 + (-12 - -29) + 1 - 19 -20 Calculate 50 + -2 + (-4 - 0) + 1 - (5 + 3). 37 Calculate (48 - (123 - 75)) + 2 + 0 - (1 - 4). 5 Evaluate -124 + 35 + (201 - 58). 54 What is 1 - -54 - (-14 - (-16 + 12 + 5 + -5))? 65 What is the value of -77 - ((-3 - (32 + -7 + -17)) + -6)? -60 Calculate (6 - (-3 + 6 + 5)) + -4 + 41. 35 What is the value of (-3 - -77 - 13) + 0 + -11 + -1? 49 What is -16 + -5 + (14 - ((12 - 6) + 12))? -25 What is the value of -20 + (-34 - (48 + -87))? -15 What is -165 - -177 - (-26 - 2) - 78? -38 What is the value of 1 + (20 - 1) - (428 + -172 - 159)? -77 (0 - 0) + (-163 - (30 - 167)) -26 What is the value of (4 - -1 - 26) + -1 + (11 - 1) + 9? -3 What is (-28 + 100 - 72) + -23? -23 What is the value of 7 + 24 + -29 - (-10 -
{ "pile_set_name": "DM Mathematics" }
-1289*w**3 - 27*w - 296. Let d(i) = -2*k(i) - 11*x(i). What is the second derivative of d(q) wrt q? -1560*q Let p(v) be the first derivative of 0*v**3 + 11/5*v**5 + 5 + 0*v**2 + 0*v**4 + 10*v. Differentiate p(f) with respect to f. 44*f**3 Find the first derivative of 3*j**2 + 12*j**3 + 5*j**2 + 10 - 8*j**2 wrt j. 36*j**2 Let r(q) be the third derivative of -7/6*q**3 + 9*q**2 + 0*q - 3/8*q**4 + 0. Differentiate r(k) wrt k. -9 Let h(w) be the second derivative of -2*w**6/5 + 75*w**2/2 + 26*w - 1. Differentiate h(c) with respect to c. -48*c**3 Let c(a) be the third derivative of -a**6/90 - 11*a**4/24 + a**3/6 + 14*a**2. Let u(i) be the first derivative of c(i). Differentiate u(f) with respect to f. -8*f Let b = 3 - -1. Suppose -3*d + 5*t + 17 = -2, -d = 4*t - 12. What is the third derivative of -d*u**2 + u**4 - 2*u**b + 4*u**4 wrt u? 72*u Let v be (-1)/(-3) - 4023/(-81). What is the second derivative of -v*b + 3*b**2 - 2*b**2 - 2*b**2 - 11*b**3 - b**3 wrt b? -72*b - 2 Let k(u) be the first derivative of -3*u**8/14 + 3*u**4 + 27*u + 46. Let x(m) be the first derivative of k(m). What is the third derivative of x(g) wrt g? -1440*g**3 Find the second derivative of -140*v + 9*v - 14*v + 2 - 2 + 43*v**2 wrt v. 86 Let u(g) be the third derivative of -47*g**9/252 - 71*g**5/60 + 79*g**2. Find the third derivative of u(y) wrt y. -11280*y**3 Let n(t) = 2*t + 14. Let a be n(-6). Suppose 4*i - 5*z = 21, -a*z = -2*i + 2*z + 12. What is the third derivative of -5*o**2 + 16*o**4 - 7*o**i + 0*o**2 wrt o? 216*o Let m(t) = -6*t**3 - 9*t**2 + 20*t - 2. Let s(b) = b**3 - 2*b**2 + b + 1. Let p(y) = -m(y) - 3*s(y). Find the second derivative of p(j) wrt j. 18*j + 30 Find the third derivative of 47*z**2 + 10*z**2 + 68*z**3 - 95*z**3 wrt z. -162 What is the second derivative of -110*o + 254*o**2 - 91*o + 61*o wrt o? 508 Let g = -128 - -144. Find the third derivative of -g*j**2 + j**5 - 22*j**5 + j**5 wrt j. -1200*j**2 Let h(x) be the first derivative of -112*x**3/3 + 46*x**2 - 57. Find the second derivative of h(u) wrt u. -224 Let p(d) = 2*d + 10. Let u be p(-9). Let h be ((-6)/u)/((-2)/(-8)). What is the second derivative of z**h + 7*z - z + 0*z**3 wrt z? 6*z Suppose 165 = -b + 2*b. What is the second derivative of -22*w**3 + 13*w + b - 165 wrt w? -132*w Suppose 5*d + 3*g - 13 = 35, d - 28 = 4*g. Suppose 2*p - d = -p. Find the second derivative of 2*t - 4*t**3 + 4*t**3 + t**4 + 2*t**p wrt t. 36*t**2 Let a(w) be the first derivative of 80*w**5 - 277*w**3/3 + 449. Find the third derivative of a(h) wrt h. 9600*h Find the third derivative of -2*s**6 - 16*s**2 + 16*s**3 - 20*s**2 - 10*s**2 + 26*s**3 wrt s. -240*s**3 + 252 Let v(y) be the second derivative of 2*y + 0*y**2 + 8/3*y**3 - 23/12*y**4 + 0. Find the second derivative of v(l) wrt l. -46 Let y(o) = 11*o**2 + 3*o + o**2 - 2 - o + 0 + 19*o**4. Let l(w) = w**4 - w**2 - w + 1. Let z(u) = 2*l(u) + y(u). Find the third derivative of z(f) wrt f. 504*f What is the first derivative of 37 - 2 + 117*r - 11 + 33 wrt r? 117 Suppose -4*a + t = -10 - 27, 3*a - 2*t - 29 = 0. Differentiate -7 - a*j + 8 - 7 - 7 wrt j. -9 Let d(b) = 426*b - 103. Let a(k) = 422*k - 102. Let p(t) = 3*a(t) - 2*d(t). Differentiate p(h) wrt h. 414 Let l(c) = 17*c**3 - 4*c**2 + 4. Suppose -12*w - 12 = -15*w. Let n(k) = k**2 + 1. Let g(o) = w*n(o) - l(o). Find the third derivative of g(z) wrt z. -102 Let g(x) be the third derivative of 173*x**5/30 - 193*x**4/24 + 222*x**2. What is the second derivative of g(n) wrt n? 692 Let l(r) = -3*r**2 - 6*r + 1. Let k be l(-2). Differentiate 8 + k - 2 - 4*i + 1 with respect to i. -4 Let n = 1 + -1. Suppose n*d = -4*d. What is the first derivative of -5 + 0*u**3 + d + u**3 wrt u? 3*u**2 Suppose -2*v = 3*t - 0*v + 10, 2*v + 10 = -4*t. Suppose 3*l = -t - 3, 0 = -5*p - 5*l + 15. What is the second derivative of -9*i**4 - 2*i + i + 16*i**p wrt i? 84*i**2 Let t(b) = 227*b**4 + 4*b**2 - 5*b + 55. Let n(f) = -224*f**4 - 3*f**2 + 4*f - 55. Let l(h) = -5*n(h) - 4*t(h). Differentiate l(q) wrt q. 848*q**3 - 2*q Let n(j) be the third derivative of -95*j**4/24 - 77*j**3/6 + 53*j**2. Find the first derivative of n(c) wrt c. -95 Let d(n) be the first derivative of 148*n**3 - n**2/2 + 437*n + 505. What is the second derivative of d(y) wrt y? 888 Let l(x) be the first derivative of 73*x**6/6 - 13*x**3/3 + 2*x**2 + 2. What is the third derivative of l(r) wrt r? 4380*r**2 Let a = 93 - 66. Differentiate -8*x**4 - 27*x + a*x - 21 with respect to x. -32*x**3 Let l(k) = -16*k**2 - 16*k. Let h be (-4)/8*(-1 - -1) - -1. Let n(a) = -a**2 + a. Let f(i) = h*l(i) - 6*n(i). Find the second derivative of f(w) wrt w. -20 Let y(x) be the first derivative of -7*x**4/4 + 5*x**3 + x**2 - 20*x + 11. Find the second derivative of y(q) wrt q. -42*q + 30 Suppose -4*q - 2*k = 3*k - 4, -2*k = 2*q - 4. What is the third derivative of 9*f + 15*f + q*f**2 - 24*f + 6*f**4 wrt f? 144*f Let j(x) = 43*x + 5. Let f be j(5). Find the third derivative of 174*z**3 + 2*z**2 - 4*z**2 - f*z**3 + 12*z wrt z. -276 Let m be (-11)/(-5) + (-5)/25. Suppose -a = -4*n + 11, -n - 3*a - m*a + 8 = 0. What is the third derivative of n*v**3 + 10*v**2 - v**3 - 9*v**2 wrt v? 12 Let m(p) be the second derivative of 43*p**5/20 - 113*p**4/12 - 3*p - 4. What is the third derivative of m(v) wrt v? 258 Let v(c) = -220*c**2 - 7*c - 17. Let b(m) = -73*m**2 - 2*m - 6. Let f(d) = 17*b(d) - 6*v(d). Find the second derivative of f(k) wrt k. 158 Suppose -7*w + 22 + 48 = 0. Differentiate w + 10 + 16*y**4 + 7*y**4 - 1 with respect to y. 92*y**3 Let q(s) be the first derivative of 0*s - 18/5*s**5 + 0*s**3 + 15 - 5/2*s**2 + 0*s**4. What is the second derivative of q(n) wrt n? -216*n**2 Let x(z) = -119*z**3 + 293*z**2 - 9. Let d(s) = s**3 + 3. Let l(j) = -3*d(j) - x(j). Find the third derivative of l(k) wrt k. 696 Let a(b) be the second derivative of 0*b**2 - 17*b - 4/3*b**3 - 1/2*b**4 + 0. Find the second derivative of a(k) wrt k. -12 Suppose -4*k = 2*h - 14, 6*h = 2*h - 4. Let t(x) = x**2 - x - 9. Let g be t(k). What is the first derivative of g - 7 - 3*l - 7 wrt l? -3 Let b(v) = -v**2 - 10*v - 5. Let g be b(-4). Suppose 2*c + 5*w = 5*c - g, -6 = 3*w. Differentiate -2 + c + 2*x + 4*x + 5 wrt x. 6 Suppose -5*s = -b - 10*s - 3, 2*b + 1 = -5*s. Let g be -3*2/3*-1. What is the derivative of 3*c**2 - c**b - 8 + 3*c**g wrt c? 10*c Let l be (1 - (1 + 0)) + 7. Let j = -113 - -114. Find the third derivative of -j + l*k**5 + 4 + 2*k**2 - 3 wrt k. 420*k**2 Let n(v) = 32*v**2 + 404*v - 8. Let c(y) = 21*y**2 + 269*y - 5. Let q(s) = 8*c(s) - 5*n(s). What is the second derivative of q(x) wrt x? 16 What is the second derivative of 348*h**2 - 72 - h - 24 - 93 - 2*h + 60*h**2 wrt h? 816 Let t(o) = 154*o**4 + 3*o**3 + 171*o**2 - 2*o. Let r(n) = -n**4 + n**3. Let c(q) = 3*r(q) - t(q). Find the third derivative of c(b) wrt b. -3768*b Let x(j) be the second derivative of 10*j**2 + 0*j + 4*j**3 + 34*j + 3*j**4 - 4*j**3. What is the derivative of x(v) wrt v? 72*v Let a = -334 + 339. Let f(d) be the first derivative of 0*d**4 + 3*d + 0*d**2 + 0*d**3 + a + 3/5*d**5. Differentiate f(c) with respect to c. 12*c**3 Find the third derivative of 76 - 155 + 79 - 142*a**2 - 28*a**3 wrt a. -168 Differentiate -2*b**2 - 2*b**2 - 7*b**2 - 44 - 23 + 5*b with respect to b. -22*b + 5 Let m(l) be the second derivative of 7*l**3/2 + 47*l**2/2 + 20*l. Let t(o) = -2*o - 1. Let s(j) = -m(j) - 5*t(j). Differentiate s(c) with respect to c. -11 Differentiate 3*n - n + 39 - 2*n**2 - 441 + 2*n**2 - 234*n**4 with respect to n. -936*n**3 + 2 Find the third derivative of 4*n**2 + 3 + 53456*n**4 + 5*n**5 - 4*n**5 - 53521*n**4 wrt n. 60*n**2 - 1560*n Let b(t) be the third derivative of -t**6/30 - 11*t**5/10 - t**4/12 + 127*t**3/2 - 72*t**2 - 2. Find the second derivative of b(i) wrt i. -24*i - 132 Let v(z) = 423*z**3 + 8*z**2 + 8*z - 637. Let a(s) = 141*s**3 + 3*s**2 + 3*s - 212. Let h(f) = -8*a(f) + 3*v(f). Find the first derivative of h(o) wrt o. 423*o**2 Suppose 0 = 3*a - 22 - 59. Let t = -21 + a. Find the third derivative of 6*h**t + 14*h**2 - 26*h**2 + 16*h**2 wrt h. 720*h**3 Let n = 2116 + -2107. Let k(g) be the second derivative of -2/5*g**5 - n*g + 0*g**2 - 13/12*g**4 + 0*g**3 + 0. What is the third derivative of k(h) wrt h? -48 Let t(a) = a**4 + a**
{ "pile_set_name": "DM Mathematics" }
e the second derivative of 5*g**3/6 + 45*g**2/2 + 14*g. What is the common denominator of c(0) and -54/17? 17 Let a = -1057/6 + 176. Find the common denominator of 73/120 and a. 120 Calculate the least common multiple of ((-24)/(-9))/(-7*6/(-189)) and 60. 60 Let n be (2/(-40))/((-104)/(-38544)). Let u = n - -201/26. Calculate the common denominator of u and 83/4. 20 Let d(n) = 32*n + 146. Calculate the lowest common multiple of d(-3) and 20. 100 Let g = -1613729/1275918 + 2/37527. Find the common denominator of g and (-20)/(-16)*172/(-20). 68 Let w = -1252/9 + 5257/36. Let r = -2/7577 + -431881/30308. Calculate the common denominator of r and w. 12 Let d = 9199/500 - -44/125. Let n(q) = 1545*q**2 + q - 2. Let g be n(1). Let m = g - 6099/4. Find the common denominator of d and m. 4 What is the common denominator of 24/(-5) + 16/(-4) and -1 + (135/46)/(-9)? 230 Suppose b + m - 72 = 0, 2*b - 160 = -4*m - 10. Let o = -65 + b. What is the lowest common multiple of 11 and o? 44 What is the common denominator of (51/297)/((-19)/57) and -97/42? 462 Let u(p) = -p**3 + 15*p**2 - 16*p + 21. Let z be u(15). Let s = z + -65. Find the common denominator of (-1)/(-4) + s/96 and 31/10. 120 Let j be 0/(-3) + 160/(-4). Let v be 0 + (-3)/(6/j). What is the lowest common multiple of 16 and 204/v + (-1)/5? 80 Suppose 5*u - 98 = -2*b, 0*u - 3*u - 12 = 0. What is the smallest common multiple of 42 and 12/60 - b/(-5)? 84 Let r = 118 + -66. Suppose r = 2*k + x, 6*k - 152 = k + 3*x. What is the smallest common multiple of 28 and k? 28 Let n(y) be the first derivative of y**3/3 + 4*y + 2. What is the least common multiple of n(2) and 11? 88 Let g = 37343 + -4107801/110. Find the common denominator of -47/10 and g. 110 Let c = 1643/75 - -44/25. Calculate the common denominator of -43/7 and c. 21 Let g(n) = 14*n**2 + 10*n - 18. What is the smallest common multiple of 4 and g(3)? 276 Find the common denominator of 197/(-130) + 42/105 and 273/(-55) - (13/(-5) + 2). 286 What is the common denominator of -27/32 and 1703/(-936)*-6 - (-2)/(-3)? 32 Let f(d) = -d**3 - d**2 + 30. Let z = 837 + -834. Calculate the smallest common multiple of z and f(0). 30 Suppose -b + 7*u + 13 = 3*u, 3*u = 0. Let x = -9 + b. What is the least common multiple of 4 and ((-40)/15)/(x/(-6))? 4 Find the common denominator of 23/40 and 146/192 + 54/(-324). 160 Let r be 1 + 6 + (0 - 1). Suppose r = 3*d + 3. What is the common denominator of -2 + 274*d/44 and 119/6? 66 Let c(h) = h + 5. Calculate the lowest common multiple of 14*(8 + 208/(-28)) and c(0). 40 Let c(i) = -i**3 - 4*i**2 + 16*i + 15. Calculate the least common multiple of c(-8) and 99. 1287 Suppose 3*m + 36 = 6*m. Suppose 8 + m = 5*z. What is the lowest common multiple of z and 9? 36 Let y = -31136 + 3456119/111. What is the common denominator of 151/12 and y? 444 Let c = -23094670 + 40300203396/1745. Let k = 1/10470 + c. What is the common denominator of 113/30 and k? 30 Suppose 0 = -t + 4*a + 620, 504*t + 1785 = 507*t + 3*a. What is the least common multiple of t and 270? 5400 Let p = 2719/63 - 257/7. What is the common denominator of -29/63 and p? 63 Let s = -585 - -595. What is the least common multiple of 8 and s? 40 Let q be -27*((-70)/150 - 2/10). Suppose -4*p + 2*t = -t - q, -5*t - 4 = 2*p. What is the least common multiple of p and 18? 18 Let k(u) = -u**3 - 8*u**2 - 8*u + 1. Let p = 7 + 0. Let o(d) = -d**3 + 7*d**2 + 2*d + 4. What is the least common multiple of k(-7) and o(p)? 72 Find the common denominator of -59*(-3 + (-66)/(-21)) and (-56)/(-84) - 2*(-22)/240. 140 Let t be 0/(-3 + 5/5). Let n(f) = -f**3 + f**2 + f - 187. Let z be n(t). Find the common denominator of 61/20 and z/272 - 1*3. 80 Let x = 3/2372 + 62849/7116. What is the common denominator of -4 - (6 - 2 - (-150)/(-24)) and x? 12 Let s = -269311/56310 + 30/1877. What is the common denominator of s and -5/2? 30 Find the common denominator of 300/(-140)*(-21)/(-246) and -3/22. 902 Suppose -28 = -4*u + 3*w + 70, -3*u + w = -76. Suppose -a = -u + 237. Find the common denominator of 1/12 and a/(-66) + 1/(-3). 132 Let i(g) = g**2 - 4. Suppose -8*r - r = -27. Suppose 0 = 4*q + 4*s + 3 - 11, 2*q - 5*s - 39 = 0. Calculate the lowest common multiple of i(r) and q. 35 What is the least common multiple of 3 - (-1 - 1)*(-69)/(-2) and 90? 360 Suppose 3*t - 722 = 115. Calculate the smallest common multiple of t and 87. 8091 What is the least common multiple of 24/(6 + 668/(-112)) and 5? 3360 Calculate the least common multiple of 56/4*11*4/8 and 77. 77 Let b be (-3 + 6)/(-3 + 2). Suppose 0 = -2*z - 0*z + 32. Calculate the least common multiple of 1/b*-9*6 and z. 144 Suppose 52 = 6*z + 28. Calculate the least common multiple of z and 54. 108 Let u(r) = r**3 + 7*r**2 - 7*r + 6. Let z be u(-8). What is the common denominator of (-297)/(-12) + -4 - z and 1/2 - 57/5? 20 Let l = 12/5695 + 266657/478380. Calculate the common denominator of -127/140 and l. 420 Let a = -106 - -116. Calculate the least common multiple of a and 5. 10 What is the common denominator of 15/3 - (-6 + (-650)/(-45)) and 29/12? 36 Suppose 61*d - 111 - 438 = 0. Calculate the lowest common multiple of d and 132. 396 Let j(k) = -177 - 3*k**3 - 9*k + 183 + 6*k**2 + 4*k**3. What is the smallest common multiple of j(-7) and 2? 20 Let t = -1314 + 10569/8. Calculate the common denominator of t and 8/11. 88 Let b = 5588354/9 + -621530. Let i = b - -599. Find the common denominator of 53/11 and i. 99 Find the common denominator of 41/9 and 150/9*3/(-4). 18 Let k = -47698/9 + 5539. Suppose d + 3*v + 285 - 38 = 0, 3*v - 467 = 2*d. Let z = k + d. Find the common denominator of -17/11 and z. 99 Suppose 2*d - 2 = -6. Let j be d/(-4 - 8/(-4)). Calculate the lowest common multiple of 1 and -2*(0 - j) - -3. 5 Let v = -31 + 19. Let d be ((-3069)/v)/(10/(-7)). Let j = d - -887/5. What is the common denominator of j and -39? 8 Let x = -53 + 98. Suppose 49*q = x*q + 24. Suppose 2*c + 2 = 8. What is the lowest common multiple of c and q? 6 Let l = 1057/97 - 336905/29876. Find the common denominator of l and 93/16. 1232 Suppose -z = 4*b - 40, 6*z - 5*z = 4. Calculate the lowest common multiple of (3/(-4))/(3/(-108)) and b. 27 Let c = -116/15 - -839/60. Calculate the common denominator of c and 29/52. 52 Suppose -25*a + 28*a - 6 = 0. Suppose z + r = a*r + 5, -3*r - 10 = -2*z. What is the lowest common multiple of 4 and z? 20 Suppose 0 = k + 6 + 2. Suppose -8 + 12 = u, -5*u - 16 = -4*b. What is the least common multiple of ((-15)/4)/(3/k) and b? 90 Suppose 2*p + 0 = -8. Let v = p + 6. What is the common denominator of 79/64 and ((-1410)/(-80))/(9/v)? 192 Let l(w) = 13*w**2 - 2*w + 1. Let c be 0*(-5 + 3 - -3). Suppose c*d - 8 = -j - 2*d, d + 36 = 2*j. What is the least common multiple of j and l(1)? 48 Let y be -2 + (3756/(-3))/4. Let p be (-4628)/y + 2/7. Let w = -76/5 + p. Find the common denominator of 91/6 and w. 18 Let n = -3015/4 - -226181/300. Calculate the common denominator of n and 47/27. 675 Suppose -c = -3*c - 4*i + 12, -3*c + 2*i = -10. Suppose 5*h - 87 = c*m, 59 = 3*h + 2*m - m. Calculate the common denominator of -9/2 and h. 2 Suppose 0 = -4*k - w - 21, -4*k + 5*w + 6 = -3. Let x be -1*(3 - k/(-2)). Calculate the common denominator of -91/4 and (3 - (-316)/(-48))/x. 12 Let k be 4/(-20) + (-461881)/1020. Let s = k - -453. Let i = 6073/2244 + s. Find the common denominator of 59/8 and i. 88 Let q(i) = i**3 + 5*i**2 - 5*i - 7. Let m be q(-6). Let t = 4 + m. Let o = 21 + t. Calculate the lowest common multiple of 18 and o. 36 Let m(r) = r**2 - 10*r + 42. Let z be (-7)/((-5)/15*3). What is the lowest common multiple of 21 and m(z)? 21 Let x = 897 - 843. What is the smallest common multiple of 162 and x? 162 Let k = -158 - -160. Calculate the smallest common multiple of k and 134. 134 Suppose 0*i = -3*i + 171. Suppose c = 4*k - 21 - i, -k - 3*c = -26. Suppose -k = -3*l + 4. What is the lowest common multiple of 4 and l? 8 What is the common denominator of (6/(-288))/(0 - 2/148) and -79/12? 24 Suppose -7*u + 57 = 8. Suppose 7*j - 42 = -u. What is the least common multiple of j and 4? 20 Let x = 1597/246 + 14/41. Calculate the common denominator of x and 4/(-6) - 349/(-60). 60 Let x = 24587 - 2212889/90. Find the common denominator o
{ "pile_set_name": "DM Mathematics" }
rue Is 295211327 composite? False Is 9821237 composite? True Is 34622033 a composite number? True Is 2224429 composite? False Is 114307841 a composite number? False Is 70362359 prime? False Is 22115347 a prime number? False Is 11040163 prime? True Is 36801647 prime? True Is 5094181 composite? False Is 432121 composite? False Is 35691833 prime? True Is 390997729 a prime number? False Is 460606409 prime? False Is 7347211 a composite number? True Is 2285897 prime? False Is 29094878 a prime number? False Is 536489 composite? True Is 170392297 a composite number? True Is 2859169 prime? False Is 9955819 prime? True Is 687885241 a prime number? False Is 1928231 prime? False Is 59885729 composite? True Is 509451757 prime? True Is 12913123 prime? True Is 17957237 a prime number? True Is 255368317 prime? True Is 49829503 composite? True Is 266739695 composite? True Is 6662527 a prime number? False Is 1302991 prime? True Is 349052897 composite? False Is 1042557 a composite number? 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{ "pile_set_name": "DM Mathematics" }
0 + 1 - (-1 + c). Suppose -2*b + 4 = l*q, -3*q - 9 = -0*b - 2*b. What is the units digit of b? 3 Let x(m) = -6 - 2 - 3*m**2 + 3 + 0 + m**3 - 2*m. Let v be x(4). Let d(y) = y**2 - 2*y - 1. What is the units digit of d(v)? 2 Suppose 0 = 5*t - 59 - 231. What is the units digit of t? 8 Let j = -48 - -33. Let s be (-15)/(-4) - j/(-20). Suppose 23 - 5 = s*v. What is the units digit of v? 6 Let g(h) = -h**2 - 16*h + 14. What is the units digit of g(-10)? 4 Suppose -3*n = -5*r + 58, -20 + 0 = -5*n. Suppose -r = 10*t - 12*t. What is the units digit of t? 7 Suppose 3 + 9 = -3*q. Let z be (-20)/15*(-18)/q. What is the units digit of 28/(-6)*(3 + z)? 4 Let s = 85 - -162. What is the tens digit of s? 4 Suppose 3*c = -5*p - 212, -237 = 4*p - c - 64. What is the units digit of p/(-9) - 4/(-18)? 5 Let a be (4/(-10))/(11/(-385)). Suppose -3*w + 53 = 4*y, 3*y - 1 = a. What is the tens digit of w? 1 Let f(c) = -5*c - 1. Let v = 0 - -1. Let q(t) = t + 1. Let z(a) = v*f(a) + 6*q(a). What is the units digit of z(-3)? 2 Let h(j) = -j**3 + 8*j**2 + 5*j - 10. What is the tens digit of h(8)? 3 Suppose 2*z = -2*z. Suppose -3*u - 2 = 4*t - 3, -4*t + 2*u + 6 = z. Suppose 0 = 3*s - 2*s - t. What is the units digit of s? 1 Let y = -112 + 234. What is the hundreds digit of y? 1 Let m(r) = 6*r + 0 + 1 + 1 + 3*r. What is the tens digit of m(3)? 2 Let a be 2/(-4)*(-48)/8. Suppose 14 = a*m + 2. What is the units digit of m? 4 Suppose -5*x = -2*x - 18. Suppose -79 = -4*k - w + 43, 3*w - 66 = -2*k. Suppose 4*f = -x + k. What is the units digit of f? 6 What is the tens digit of ((-5)/(-15) - 125/(-3)) + 3? 4 What is the units digit of (-8 - -9)*(1 + 43)? 4 Suppose -3*g - 2*v = 2*g - 450, -4*v = 0. Suppose 5*k + 4*w - 108 = 0, 5*w = 3*k + 2*k - g. What is the tens digit of k? 2 Suppose -k + 3*k + h - 28 = 0, 5*k - 4*h = 83. Suppose -k - 15 = -5*g. Let d = 2 + g. What is the units digit of d? 8 Let j(t) = t + 14. Let f be j(0). Suppose -10 = 3*o + f. Let q = o + 11. What is the units digit of q? 3 Let s = 6 + 6. Suppose -s = a - 3*a. What is the units digit of a? 6 Suppose -n - 18 = 2*k - 4*k, -4*n + 36 = 4*k. What is the units digit of k? 9 Suppose 63 = -4*k - 41. What is the tens digit of (1 - -1)*k/(-4)? 1 Suppose 2*a + 8 = 3*i, 6*i - 3*i + 2*a - 16 = 0. What is the units digit of i? 4 Let o(i) be the first derivative of -i**4/2 - i**2/2 - 1. Let f be o(-1). Suppose -2*v + 5 = -f*v, 4*n = 4*v + 52. What is the units digit of n? 8 Suppose 216 = 17*g - 8*g. What is the units digit of g? 4 Let i = -1 - -1. Let a = i - -4. What is the units digit of a? 4 Let o be 1 - (-29 - 0/(-3)). Suppose -2 = 4*a - o. What is the units digit of a? 7 Let r(c) = c**2 + 12. Let m be r(0). Let j = -139 - -81. What is the units digit of j/(-7) + m/(-42)? 8 Suppose -515 = -3*g + 49. What is the hundreds digit of g? 1 Suppose -3*g + 5*v - 21 = 0, -5*v + 8*v - 3 = -3*g. What is the units digit of g - -1*15/1? 3 Let y(f) = -3*f + 3*f - 6*f. Let q be y(2). What is the units digit of 4/q*3/(-1)? 1 Suppose 6*i - 64 = 2*i. What is the tens digit of i? 1 Suppose 63 = 2*m - m - 4*u, 5*m + 5*u = 265. What is the tens digit of m? 5 Let i = 21 - 19. Suppose 0 = 2*m - 0*m - 5*f - 32, i*m - 32 = -2*f. What is the tens digit of m? 1 Let s(n) = -n**2 - 7*n - 5. Suppose -2*t = 2*t - 12. Let u = t + -8. What is the units digit of s(u)? 5 Let m(c) = -c**2 + 8*c - 6. Suppose -k + 6*k - 25 = 0. What is the units digit of m(k)? 9 Let s = 4 + -3. What is the tens digit of s + 0 - -1*10? 1 Let h(n) = -n**3 + 3*n**2 - 2. Let y be h(3). What is the tens digit of 4/(-8) - 21/y? 1 Suppose -f - 311 = -3*y, -5*y - f = -3*f - 518. What is the hundreds digit of y? 1 Let r be (2/(-1))/((-2)/3). Suppose -2*x - 6 = r*k - 6*x, -4*k + x = -5. Suppose 0 = -2*h - 0*h + k. What is the units digit of h? 1 Suppose -3*w + 343 + 521 = 0. What is the units digit of w? 8 Suppose 0 = -0*g - 5*g. Suppose n - 3*n + 92 = g. What is the units digit of n? 6 Suppose y - 200 = -3*y. What is the units digit of y? 0 Suppose -6 - 1 = t. Let x(q) = q**2 + 5*q - 4. What is the units digit of x(t)? 0 What is the tens digit of 1/2*24*2? 2 Let s be 56/(-20) - (-3)/(-15). Let j(t) = 2*t + 4. Let m be j(4). Let h = s + m. What is the units digit of h? 9 Suppose -5*u - 4*j + 47 = 0, 4*j - j = u - 17. Let i(k) = k**2 - 6*k - 12. What is the units digit of i(u)? 3 Suppose 3*d + 32 + 53 = 2*w, -3*d + 79 = 2*w. Let n = -19 + w. What is the units digit of n? 2 Let g = -24 - -28. Suppose -2*z + 25 = 5*r - 3, -g*r + 49 = 3*z. What is the tens digit of z? 1 Suppose 4*z - 14 = 2. Let y = z + -1. Suppose 52 = 4*l + 4*t, -y*l + 15 = -t - 2*t. What is the units digit of l? 9 Let i be ((-6)/(-4))/((-24)/64). Let p = 28 + i. What is the tens digit of p? 2 What is the units digit of (-21 - 0)*(-2)/6? 7 Let b(h) = h - 6. Let a(q) = -q**2 - q. Let g(s) = 5*s**2 + 6*s - 8. Let o(u) = -6*a(u) - g(u). Let n be o(0). What is the units digit of b(n)? 2 Let r(m) = 2*m**3 + m**2 - 2*m - 1. Let b(n) = n**2 - 10*n + 2. Let x be b(10). Let c be 5 + (-3 - 0/x). What is the tens digit of r(c)? 1 Let l = 6 + -2. What is the units digit of l? 4 Let j = -4 - -26. What is the units digit of j? 2 Let n = -1 + -1. Let r = 1 - n. Suppose -5*i = -5*z + 60, 0 = -4*z - r*i + 21 + 13. What is the tens digit of z? 1 Let c(m) = -m**3 - 11*m**2 + 6*m + 2. What is the units digit of c(-12)? 4 Suppose -2*v = 3*v - 65. What is the tens digit of v? 1 Let k = 2 + 0. Let c be (-4)/(-8)*(-6)/(-1). Suppose c*t = -k*t + 50. What is the tens digit of t? 1 Let f = 17 + -14. Suppose -c = -f*c + 4*y + 40, -c - 3*y + 30 = 0. What is the tens digit of c? 2 What is the units digit of 3/2*(-8)/(-6)? 2 Let d = 72 - 39. What is the tens digit of d? 3 Let v = 2 + 55. What is the tens digit of v? 5 Let h(s) = -s**2 + 3*s + 5. Let i be h(10). Suppose -9 = -3*g, -3*g + 147 = -3*r - 0*g. Let l = r - i. What is the tens digit of l? 1 Let v(r) = -44*r**3 - r**2 + r + 1. What is the tens digit of v(-1)? 4 Let a(c) = -c**2 + 14*c + 4. What is the tens digit of a(11)? 3 Let g = 23 - 4. What is the units digit of g? 9 Let n(t) be the second derivative of t**5/60 + t**4/8 + 2*t**3/3 - t**2/2 - 2*t. Let r(u) be the first derivative of n(u). What is the units digit of r(-4)? 8 Suppose -12 = -2*l - 2*l. Suppose 0 = 3*w + 3*j - 21 - 36, l*j = -5*w + 85. What is the tens digit of w? 1 Let c be 1*-2*12/8. Let y be -3*((-2 - -4) + c). Suppose -2*m + l = y*m - 33, -24 = -3*m + 2*l. What is the units digit of m? 6 Let i(a) = 5*a**2 + a + 1. Let m be i(-1). Let z be 2/11 + 430/55. Suppose -m*r + z = -32. What is the units digit of r? 8 Suppose 5*y + 2*z = -3 + 5, y + 5*z + 18 = 0. Suppose -y*q = 2*q - 20. What is the units digit of q? 5 Let u = -12 + 17. Suppose -6*b + 2*b + 4*k + 44 = 0, -u*b - k = -61. Let w = -7 + b. What is the units digit of w? 5 Suppose 4 + 0 = -v, -5*v - 10 = 2*r. What is the units digit of r? 5 Let z = -6 - -9. Suppose 5*b = z + 7. Suppose 2 = 5*r + b*t - 24, 0 = 3*r - 3*t - 3. What is the units digit of r? 4 What is the units digit of 73 + 16/(-4) - 4? 5 Let i(n) = -2*n**2 - 6 - 2*n**2 + 5*n**2. What is the tens digit of i(6)? 3 Let w = -17 + 25. Let m be 3/12 - 74/w. Let h(f) = -f + 2. What is the units digit of h(m)? 1 Let z(m) = 4*m**2 - 3*m**2 + 12 - 2*m**2 + 7*m - 18*m. Let h be (-1 - (-15)/4)*-4. What is the tens digit of z(h)? 1 Let a be (1/(-1))/(2/4). Let q(u) be the second derivative of -u**3/2 - u**2 - 2*u. What is the units digit of q(a)? 4 Let r(h) = 4 + h**3 - 3 - 5 - 2*h + 7*h**2 + 1. What is the units digit of r(-3)? 9 Suppose -5*j + 92 = -4*m + 12, -3*j + 48 = 2*m. What is the tens digit of j? 1 Let i(c) = -c + 2. Let f(b) = 5*b - 9. Let w(r) = -2*f(r) - 9*i(r). What is the units digit of w(-6)? 6 Let g(d) = -2*d - 1. Let q = -5 - -1. What is the units digit of g(q)? 7 Let d = 180 - -68. What is the tens digit of d? 4 Suppose 0 = -5*z - 7 + 142. What is the units digit of z? 7 Suppose -4*o = -12, 4*k - 3*o - o - 76 = 0. Let g = -10 + k. What is the units digit of g? 2 Let u(q) = q**3 + 4*q**2 + q - 2. Let f(y) = 4*y**3 + 13*y**2 + 2*y - 7. Let i(m) = -2*f(m) + 7*u(m). What is the units digit of i(-2)? 0 Suppose 5*u = 5*d + 205, 3*d = 5*u - u - 160. What is the tens digit of u? 3 Let r be -1*((-16)/(-2)
{ "pile_set_name": "DM Mathematics" }
nd ((-b + 2*b - 3*b)*(1 + 0 + 0) + 8 - 8 - 4*b - 3*b - 2*b + 6*b)*(-b + 4*b - b). -10*b**2 Expand (0*w + w + 2*w + 0*w + w + 7*w + (1 - 5 + 2)*(2*w + w - w))*(2*w**4 - 54*w - 2 + 54*w). 14*w**5 - 14*w Expand (6 + 5*a - 6)*(6 - 4 - 2*a**2 + 8). -10*a**3 + 50*a Expand (2*y**2 + 3*y - 3*y)*(3*y + 3*y**3 - 3*y) + y**5 + 3*y**5 - 7*y**5. 3*y**5 Expand (1 - 5 + 3)*(3*d - 1 + 1) + (7*d - 6*d - 6*d)*(-3 + 0 + 1). 7*d Expand -2*j + 0*j + j + 1 - 1 + j + (2*j - 2 + 2)*(5 + 1 - 1). 10*j Expand -2*s**5 - 2*s**5 + 3*s**5 + (4*s - 3*s**2 - 4*s)*(4 - 4 + 2*s**3). -7*s**5 Expand (6 - 7*z - 2 - 3)*(8*z - 8*z + 5*z**2). -35*z**3 + 5*z**2 Expand 3*k**3 - 6*k**3 + k**3 + (-2 + 0 + 4)*(2*k**3 + 2*k**3 - 5*k**3) - 9*k**3 + 5*k - 5*k + 4*k**3 - k**3 - k**3. -11*k**3 Expand (-3*k**2 + 3*k**2 - 2*k**2 + (-1 - 2*k**2 + 1)*(-2 + 1 - 1))*(-4*k + 2*k + 4*k) + 0*k**3 + 0*k**3 + k**3 + (1 + k**2 - 1)*(k + 0*k - 3*k). 3*k**3 Expand (-2 - 2 + 3)*(0*x + 4*x - 2*x + (1 + 0 + 0)*(0*x + 0*x + 2*x)). -4*x Expand (-1 - 4 + 3 + (1 + 0 + 0)*(-6 + 0 + 3))*(-5*h**2 + 2*h**2 + 4*h**2). -5*h**2 Expand 4*c**4 - 4*c**4 + 2*c**4 + (5*c**3 - c**3 - 10*c**3)*(-c - 4*c + 6*c). -4*c**4 Expand -2*q**2 + 2*q**2 - 3*q**2 + 0 + q**2 + 0 + 0 + 0 + 3*q**2 + (-1 - 2*q + 1)*(-2*q + 0 + 0). 5*q**2 Expand (-2*b**2 + 3*b**2 + 7*b**2)*(5*b - 2*b + 3 - 4). 24*b**3 - 8*b**2 Expand s - 2*s - s + (0 - 3 + 4)*(0*s + 5*s - 2*s) + s - 2*s - 3*s. -3*s Expand (2*q - q + q)*(2*q - 6*q + 5*q + (4*q - 2*q + 0*q)*(-1 + 2 - 3) + 1 - 2*q - 1 - 3*q + q + 6*q). -2*q**2 Expand (1 - 1 + 2*b)*(30*b**2 + 16*b**2 + 38*b**2)*(3*b - b - b). 168*b**4 Expand (k - 4*k - k)*(-25 + 25 + 8*k). -32*k**2 Expand (-3*x + 3*x + x)*(5 + 27 - 69*x**2 - 31). -69*x**3 + x Expand 4*f**4 - f**4 - 2*f**4 + (-3*f + 3*f + 2*f**3)*(f + 9*f + 2*f). 25*f**4 Expand q**5 - 4*q**5 + 5*q**5 + (-2*q**5 + 0*q**3 + 0*q**3)*(3 - 1 + 0) + (0 + 5 - 3)*(-q**5 + 0*q**5 - q**5) - 2*q**5 - 4*q**5 - q**5. -13*q**5 Expand (-1 - 4 + 1)*(1 - 2 + 0)*(-4*c - 2*c + c)*(-c**2 + 0*c + 0*c) + (2 + 1 - 2)*(2*c**3 + 3 - 3). 22*c**3 Expand (5*c + 2*c - 3*c)*(5*c**2 - 4*c**2 + 5*c**2 + (-c - c + 0*c)*(-2*c + 6*c - 2*c)). 8*c**3 Expand 4*w**2 - 4*w**2 + w**4 - 23*w**2 + 23*w**2 - 8*w**4 + (2*w**4 - w**4 - 2*w**4)*(2 + 1 - 1). -9*w**4 Expand (-3 + 3 + 13*i - 2)*(0 - 1 - 1). -26*i + 4 Expand (1 + 3 - 5)*(-z**5 + 2 - 2) + z**5 + 2*z**5 - z**5. 3*z**5 Expand (-5*k + 0*k + 2*k)*(-5*k + k + 2*k) + k**2 - 4*k**2 + 2*k**2 + 0*k**2 + k**2 - 3*k**2 + (2 + k - 2)*(-2*k + 1 - 1) + 7*k**2 + 0*k**2 - 2*k**2. 6*k**2 Expand (1 + 1 - 3)*(-2*n + n - n) - n + 4 - 4 - n + 0*n + 2*n + (1 - 4 + 4)*(-n + 2*n + n). 4*n Expand (-4*f**2 + 2*f**2 + 0*f**2)*(14*f - 3*f - 6*f)*(0*f**2 - 3*f**2 + 2*f + f**2). 20*f**5 - 20*f**4 Expand 5*h**4 - 2*h**4 - h**4 + (2*h - 2*h + 2*h**2)*(0*h**2 + 12*h**2 + 0*h**2). 26*h**4 Expand (0*u**2 + 3*u**2 - 2*u**2)*(-3 + 1 + 4)*(1 - 2 + 0)*(2*u - 5*u - 7*u). 20*u**3 Expand (-2*y**2 - 3*y + 3*y)*(-8*y**2 + 2*y - y**2 + 5*y**2). 8*y**4 - 4*y**3 Expand (-2*v + 2*v - v)*(4 - 1 - 2)*(4 - 2 - 3) - 5*v + 5*v + 4*v. 5*v Expand 0*c**4 - 2*c**5 + 4*c**4 - 2*c**4 + (c - 5*c + 2*c)*(2*c - 3*c + 2*c)*(-3*c**3 + 2 - 2). 4*c**5 + 2*c**4 Expand (2 + m**4 - 2)*(3*m - 6*m + 4*m) - 4*m**5 + 13*m**5 + 2*m**5. 12*m**5 Expand 5*b**3 - 2*b**3 - b**3 - 3 + 17*b**3 + 14*b**3 - 40*b**3 + (b**2 + b - b)*(b + 0 + 0). -6*b**3 - 3 Expand (-2*r + 2 + 4*r - 4*r)*(3*r**3 + 0*r**3 - r**3 - 2*r**3 + 2 - 2 + (-r - 7*r + 4*r)*(-r + r + 2*r**2) + 5*r - 5*r + r**3). 14*r**4 - 14*r**3 Expand (s**2 + 0 + 0 + (4 - 2*s - 4)*(-2*s + 2*s - 2*s))*(s**2 - s**2 + 2*s**2). 10*s**4 Expand (-4*u**2 + 4*u**2 - u**3)*(-2 + 0 + 1 - 2 + 2 + 1 + (3 + 4 - 5)*(1 - 1 - 1) + 4 + 3 - 3). -2*u**3 Expand (4 - 4 - p**2 + (-4*p + 3*p - p)*(3 - 2*p - 3) + 0*p**2 + 4*p**2 - 3*p**2)*(-21*p**3 - 2247*p + 2247*p). -84*p**5 Expand (2*u - 88 + 88)*(4 - 1 - 5). -4*u Expand (0 - 1 + 0)*(2*y**2 - 3 + 3) + 9 + 4*y**2 - 20 + 13 - y**2 - 2*y**2 + 5*y**2 + (-2*y + 3*y - 2*y)*(y + 2*y - 4*y) + 3*y**2 + 0*y**2 - y**2. 7*y**2 + 2 Expand (-12*t**2 + t**2 - t**2)*(-t**3 + t**3 + 3*t**3 + (0*t**2 + 3*t**2 - 5*t**2)*(0*t + t - 3*t)). -84*t**5 Expand (3 - 4 + l - 1)*(-3*l**3 - l**3 + 2*l**3). -2*l**4 + 4*l**3 Expand (-3 + 2 + 2)*(3*l - 2*l - 2*l) + (-7 + 2 + 1)*(-2*l - l + 5*l). -9*l Expand (-2 - 1 + 2)*(-1 + 4 - 4)*(-2 - 7*q - 1 + 32*q). 25*q - 3 Expand (5*t - 4*t + 4*t)*(-2*t + 2*t + t**3) + 5*t**4 - 2*t**4 - t**4. 7*t**4 Expand (w - 2 + 2)*(64 + 5 - 18)*(-w - 2 + 6*w - 3*w). 102*w**2 - 102*w Expand 0*p + 0*p + 3*p + (p - p - p)*(1 - 3 + 1) - 3 - p + 3 + (2 + 1 - 2)*(2*p + 2*p - 2*p) + 0*p + 3*p - 4*p + 0 + 2*p + 0. 6*p Expand (7 + 6 + 6)*(-4*p + 5*p - 3*p)*(-2 - 3 + 4). 38*p Expand (3 - 5 + 1)*(20*v**4 + 195 - 195) - v**4 - 2*v + 2*v. -21*v**4 Expand (4*t - 5*t + 3*t)*(-2*t + 0*t + t) - 9 - 6 + 3*t**2 + 8. t**2 - 7 Expand (2 + 3*x - 1 - 2*x)*(-10*x + 11*x + 4*x). 5*x**2 + 5*x Expand (-4*p + 2*p + p)*(1 - 1 + 1)*(-25 + 24 - 9). 10*p Expand (-t + 5*t - 2*t)*(-56*t**3 - t**4 + 56*t**3). -2*t**5 Expand (-3*a**2 + 3*a**2 + 2*a**2)*(-56 + 56 + 70*a**2). 140*a**4 Expand (-5 + 7*j**2 - j**2 + 3)*(2 + 0 + 0)*(4 - j - 4). -12*j**3 + 4*j Expand (0 - 2*o + 0)*(3 - 4 + 8)*(-1 - 2 + 1)*(4 + 2 - 5). 28*o Expand (-2*u - 4 + 4)*(u - 3*u + 3*u) + (u + 3*u - 2*u)*(7 + 10*u - 7). 18*u**2 Expand (3*p**3 - 2*p**3 + p**3)*(-10 - 19 - 12). -82*p**3 Expand (f**4 + 2*f**4 - f**4)*(-2 + 2 - 2*f) + f**4 - f**5 - f**4 + f**5 - f**3 + f**3 - 2*f**2 - 3*f**5 + 0*f**5 + 0*f**2. -7*f**5 - 2*f**2 Expand (-32*g - 51 + 51)*(-2*g**2 - 3*g + 3*g). 64*g**3 Expand (0*k + 7*k + k)*(0 + 2*k + 0). 16*k**2 Expand -g**3 + 0*g**2 + 0*g**2 + (g**2 - 4*g**2 + 4*g**2)*(-2*g - g + g) + (7*g**2 - 11 + 11)*(-3*g - 2*g + 3*g) - g**3 + 6*g**3 - 4*g**3. -16*g**3 Expand h**3 - h**4 - h**3 + (-3*h - 6*h + 3*h)*(-2*h**3 + 0*h**3 + 0*h**3) - 2*h**4 + 2*h - 2*h. 9*h**4 Expand ((-1 + 1 - 2*p**2)*(-20 + 20 + 8*p**2) + 0*p**4 - p**4 + 0*p**4)*(-1 + 1 - 2*p). 34*p**5 Expand (-3 + 1 + 0)*(3 - 3*k**4 - 3) + (4*k**3 - k**3 - 5*k**3)*(-k + 2 - 2) - 5*k**4 - 2*k**4 + 3*k**4. 4*k**4 Expand (-6 - 12 + 5)*(4*k - 5*k + 3*k)*(k**2 - k**2 + 3*k**3). -78*k**4 Expand p**3 + 0*p**2 + 0*p**2 + (-2*p**2 - 2 + 2)*(1 + p - 1) + 0*p + 6*p - 2*p + 2*p**3. p**3 + 4*p Expand (-2*g**4 - 3*g**4 + 7*g**4)*(-24 + 7*g + 24). 14*g**5 Expand (10*x**2 + 2*x**4 - 10*x**2 - 3)*(-6 - 9*x + 6). -18*x**5 + 27*x Expand 5*x**4 - 5*x**4 - 12*x**4 + (x**3 + x**3 - 4*x**3)*(-2*x - 5 + 5). -8*x**4 Expand -2*s**4 - 5 + 5 + (4*s - 5*s - s)*(2*s**3 + 3*s**2 - 3*s**2) + (-s**3 + 3*s**3 + 0*s**3)*(-6*s + 4*s - 3*s). -16*s**4 Expand (-2*c - 3*c + 3*c)*(2*c + 1 - 1) - 2*c**2 + 3*c**2 + 0*c**2 - 4*c + c**2 + 4*c. -2*c**2 Expand -b**2 - 3*b + 3*b + (b**2 + 0*b**2 + b**2)*(2 + 2 - 6) + 0*b**2 - b**2 + 2*b**2 - 2*b**2 + 4*b**2 - b**2 + (b - b + b)*(b - 3 + 3) - 25 + 25 + 6*b**2. 4*b**2 Expand (-2*i**3 + 0*i**3 - i**3 - 2*i**3 + 0 + 0 + (0*i**2 - 2*i**2 + i**2)*(-4*i + 2*i + i) + 3*i**3 - 1 + 1)*(-1 + 3 + 0). -2*i**3 Expand (-1 - 9*m + 1)*(-m + 3*m - m) + 4 - 4 + m**2. -8*m**2 Expand (3 - 3 - 2*p)*(1 - p - 1)*(-2 + p + 2)*(1 + 2 + 0). 6*p**3 Expand (p - 2*p + 1 - 2)*(2*p**2 + p**2 - 2*p**2)*(-p + 3 - 3). p**4 + p**3 Expand (2*b + 0 + 0)*(-41*b**4 - 7*b**4 - 10*b**4). -116*b**5 Expand (0 + 1 + 4)*(-3 + 1 + 1)*(-w - w - w). 15*w Expand (0*o - o + 2*o)*(-3 + 2*o + 3) + 4*o**2 + 7*o**2 - 3*o**2. 10*o**2 Expand -9*y**2 + 9*y**2 + 4*y**5 + 3*y**5 + y**5 + 4*y**5 + (-6*y**4 + 3*y**4 + 2*y**4)*(y - 3 + 3). 11*y**5 Expand (-5 + 5 - 2*k)*(-k - 4*k**2 + k) - 3*k**2 + 3*k**2 - k**3. 7*k**3 Expand (2*k - 4*k + 0*k)*(-6*k**3 - k**4 + 0*k**3 + 3*k**4). -4*k**5 + 12*k**4 Expand (-f + f - f)*(f**2 - 4 + 4) + (-24*f**2 + 6*f**2 - 6*f**2)*(-3*f - 2*f + 7*f). -49*f**3 Expand (-2*j - 2*j + 2*j)*(-5*j**3 + j**3 + 3*j + 5*j**3). -2*j**4 - 6*j**2 Expand (2 - 5 + 2 + 9*a)*(-3 + 3 - 1)*(-2*a + a - 2 + 3). 9*a**2 - 10*a + 1 Expand (-6 + 6 - 6*t)*(-2*t + 6*t**3 - t**3 - 3*t**3). -12*t**4 + 12*t**2 Expand (2*t - 4*t**2 - 6 - 6*t**2 + 12*t**2)*(-3*t**3 - 2*t**3 + 3*t**3). -4*t**5 - 4*t**4 + 12*t**3 Expand (1 + a - 5*a + 2*a)*(2 - 1 - 4*a + 6*a). -4*a**2 + 1 Expand (3*m**3 - m**3 - m**3)*(-1 + 4*m**2 - 9*m + 9*m). 4*m**5 - m**3 Expand (2 - 2 - 2*x**3 + (-3*x**3 - 3*x**3 + 5*x**3)*(-3 + 0 + 4))*(-5 +
{ "pile_set_name": "DM Mathematics" }
49136121445242275/1287472. Let w = v - 27/80467. Let i = w + 5874. Find the common denominator of 75/22 and i. 176 Let p = 2/101 - 7793/808. Let o = -287870/406771 - 6/5149. Let i = -8045/316 - o. What is the common denominator of i and p? 8 Let d be 3 + (-4 - (0 + -3)). Let h(c) = 4*c + 1. Calculate the lowest common multiple of h(d) and 9. 9 Let z be (1 + 3)/(2/269). Let d = -17/24696 - -67062073/123480. Let n = d - z. What is the common denominator of -23/12 and n? 60 Suppose -f + 2*f = 16. Let d be (2/f)/((-12)/(-222)). Let g = 1151/176 - d. Find the common denominator of g and 39/22. 22 Suppose 0 = 4*t + 5*c + 15, t - c + 2 = 5. Suppose t = -5*y + 2 + 18. Suppose 2*w + 5 = 13. Calculate the lowest common multiple of w and y. 4 Let r be (-68)/(-10)*(3 + -8). Let n = -20 - r. What is the smallest common multiple of n and 8? 56 Let f = -7587999/16 + 474411. Suppose 4*a + 149 + 495 = 0. Let g = f + a. What is the common denominator of g and 3/8? 16 Suppose -4*p + 5*o + 98 = 0, -3*o - 8 = -5*p + 108. Calculate the smallest common multiple of p and 14. 154 Suppose -424 = 3*h - h. Let l be 2/6 + h/(-12). Suppose -2*b + l = b. Calculate the least common multiple of 2 and b. 6 Let s be ((-4)/(-5))/(1/20). Suppose -s*x = -11*x - 90. Calculate the lowest common multiple of x and 14. 126 Suppose -11 + 0 = a - 4*p, -3 = 3*a + 3*p. Let d = 0 - a. Suppose 0 = d*h + 5*g - 48, 5*h + g = -2*g + 80. Calculate the lowest common multiple of h and 12. 48 Suppose u = -4*s - 3 + 10, -u + 4 = 3*s. Suppose -s*f + 20 = -f. Calculate the lowest common multiple of 18 and f. 90 What is the common denominator of 312/18 - (-3 - 6)/(-3) and -1 - (-2)/4*31? 6 Let m be (4 - 2)*(-4097)/(-2). Let x = m + -41013/10. Calculate the common denominator of 7/(-4)*1/3 and x. 60 Let l = 2/101 + 699/404. Suppose 0*r - 9 = -3*r. Calculate the common denominator of l and 578/(-120) + r/(-9). 20 Find the common denominator of 2/14*-2*-24 and 19/228*104/3. 63 Suppose 2*m - 3*m + 6 = 0. Let w = m + -4. What is the lowest common multiple of 10 and w? 10 Suppose -2*c - 4 = m - 5*m, -c + 4 = m. Calculate the least common multiple of 25 and c. 50 Let k = -4 + 7. Let i = -9851 - -98403/10. What is the common denominator of (-254)/(-48) + 1/k and i? 40 Let r be -1 + 0 - (-470973)/(-48). Let j = 9818 + r. Find the common denominator of 97/4 and j. 16 Suppose 11*x - 16 = 3*x. Calculate the least common multiple of x and 8. 8 Let o = 8 + -1. Let l = o + -13. What is the common denominator of l/4*(-118)/6 and -17/8? 8 Let c = 2 + 2. Calculate the smallest common multiple of 48 and c. 48 Let o = -21/184 + -10199/920. What is the common denominator of (-2)/8 + (-70)/24 and o? 30 Let g be (-67486)/14*1/2. Let f = -2403 - g. What is the common denominator of 37/8 and f? 56 Suppose -4*f + 3*o + 17 = 0, -3 - 6 = 3*o. What is the smallest common multiple of (f/(-5))/((-4)/80) and 14? 56 Let k(g) = g**2 - 10*g - 117. Suppose -5 - 4 = -x. What is the lowest common multiple of x and k(17)? 18 What is the common denominator of (-2)/(-4)*10/4 and (-6)/8 - 1*(-245)/(-40)? 8 Suppose 24 - 69 = -3*x. Calculate the smallest common multiple of 3 and x. 15 Let z(m) = -2*m + 5. Let u be z(4). Let y = u - -3. Suppose -5*p - 2*o = 82 - 202, 5*p - 3*o - 95 = y. Calculate the least common multiple of 16 and p. 176 Suppose 5*k - 3*u - 56 = -6*u, -4*u = -8. Suppose -5*r + 2*r = -18. What is the lowest common multiple of 0 - r*3/(-3) and k? 30 Let u = -58929/284 - -124/71. Let a = -425/2 - u. What is the common denominator of a and -9/10? 20 Let f = -6038/3 - -2030. What is the common denominator of 10/15 + 245/6 and f? 6 Let l(f) = f + 6. Let b(z) = 2*z**2. Suppose 2*v + 3*v = -3*u + 7, -3*u + 5*v = 13. Calculate the lowest common multiple of b(u) and l(-3). 6 Calculate the common denominator of -2 - (-1 - 22/40) and (4/(32/12))/(-12). 40 Let p(k) = -k**3 + 5*k**2. What is the lowest common multiple of 18 and p(4)? 144 Let l(i) be the second derivative of i**3/6 + 9*i**2/2 - i. Let k be l(-6). Suppose -k = -4*z + z. Calculate the smallest common multiple of z and 5. 5 Let s(i) = -32809*i + 1. Let h be s(1). Let c = h - -42158268/1285. Let o = c + -60251/15420. What is the common denominator of -9/4 and o? 12 Let k(h) = -25*h**3 - h**2 + 1. Let v be k(-1). Suppose -v = 2*u + 33. Find the common denominator of u and 15. 1 Find the common denominator of 1 - (-6)/(-4) - 71/12 and (2 + (-103)/1)/2. 12 Let l = 10 - 7. Suppose g - l*i - 10 = 4, 20 = -5*i. Calculate the least common multiple of 11 and g. 22 Let k(d) = d**2 + 4*d - 7. Let j be k(-5). Let w = j - -12. Calculate the least common multiple of (-4)/w + (-312)/(-30) and 3. 30 Calculate the lowest common multiple of 3/(-4)*(1 + -9) and ((-21)/(-4))/(21/56). 42 Let s be (-4)/10*10/1. What is the common denominator of (11/(-3))/((-10)/33) and -30*(s - 32/(-9))? 30 Let y(p) = -p**3 - 3*p**2 - 2*p. Let v be y(-3). Calculate the common denominator of -29/3 and (29/3)/(8/v). 12 Let t = -20887/10 - -2096. What is the common denominator of -31/11 and t? 110 Suppose -5*t + 1 = -14. Suppose -t*p + 11 = -2*d, 2*d = -p - 0*d - 7. Calculate the smallest common multiple of 10/25*(p + 29) and 22. 132 Suppose 12*l + 26 - 98 = 0. Suppose 13 = v + 3*f - 24, 4*v = -3*f + 103. Calculate the smallest common multiple of v and l. 66 Calculate the common denominator of (-1548)/(-405) + (-2)/(-18) and 1346/(-180) - (-6)/(-27). 30 Suppose 2*g - 7 = -1. Suppose -24 = -g*a + 3*h, h + 8 = 4*a + 3*h. Calculate the lowest common multiple of 6 and a. 12 Let n = 5453153/16 - 355710. Let t = n + 14883. Calculate the common denominator of -53/8 and t. 16 Let g = -26 + 30. Suppose 0 = -4*p + 9*p - 20. Calculate the least common multiple of g and p. 4 Let d = 2169 + -12905/6. Calculate the common denominator of -89/15 and d. 30 Let d = -40223/16 + 2513. Calculate the common denominator of d and ((-2)/(-11))/((-8)/182). 176 Find the common denominator of -4 - (30/(-22) - -2) and 23/4. 44 Suppose -3*w = w. Suppose 6 = 4*l - l. Calculate the smallest common multiple of (0 - (w - -2)) + 4 and l. 2 Suppose w = -3*w + 440. Calculate the common denominator of 10/25 + 316/w and -58/3. 33 What is the common denominator of (43/(-7))/((-24)/(-28)) + -1 and -22/15? 30 Suppose 2*q - 2*v = 26, 4*v + 44 = 4*q + 2*v. What is the least common multiple of 1 and q? 9 Suppose -q - 5829 = -w - 3*w, 0 = 3*q - 4*w + 17487. Let i be 641403/110 - 2/(-10). Let a = q + i. Find the common denominator of a and 133/12. 132 Suppose -5 = -2*p + 3. Let g = 3 - p. What is the least common multiple of 6 and 2/(g/(-5) - 0)? 30 Suppose -2*a = -8, -2*a + 7 = 2*x - 3. What is the least common multiple of 41 and x? 41 What is the smallest common multiple of (-3 - (-5)/2)*-44 and 10? 110 Let o be (-15)/50*8761/(-487). Let b = o - -3/974. What is the common denominator of b and (0 - -3)*(-2 + 0)? 5 Let p be (-9 + 0)*16/(-12). What is the least common multiple of p/10*(10 - 0) and 8? 24 Suppose 5*f - 10 = 10. What is the least common multiple of f and 9? 36 What is the least common multiple of 1*(1 - 1) + -17 + 41 and 21? 168 Let m be 17736/(-249)*1/11. Let d = m + 130/83. Find the common denominator of -29/2 and d. 22 Let a(r) = r + 7. What is the least common multiple of a(-4) and 11? 33 Let i be 20/6 + (-2)/6. Suppose -i*g + 12 - 3 = 0. Suppose -g*v + 43 = -17. What is the smallest common multiple of v and 4? 20 Let d = 37513/6 - 6230. Find the common denominator of d and -18/11. 66 Let b be 3/5 + 2308947/330. Suppose -3*r + 0*r = -o - 20984, 13984 = 2*r + 2*o. Let p = b - r. Calculate the common denominator of p and 85/2. 22 What is the lowest common multiple of 21 and 2*(4 + 33/(-6)) + 18? 105 Suppose -3*s = 4*h + 81, h + 4*s = -h - 38. Find the common denominator of h and -1/15. 15 Let l = 2933 + -29273/10. Let h be 188/20 + 4/(-10). Calculate the common denominator of l and ((-74)/18)/(6/h). 30 Let r be (-15)/((-3)/1) - 2. Suppose 3*h = -15, -128 = -5*p + 5*h - r. Calculate the least common multiple of p and 20. 20 Suppose -3*l = -3*j, -3*l + 7*l - j = 12. Suppose 32 = 4*q + 2*h, 4*q - 4*h - 22 = 10. What is the smallest common multiple of q and l? 8 Let s be 4/(-6) + 98482/(-8940). Let g = s - -57/149. Find the common denominator of g and
{ "pile_set_name": "DM Mathematics" }
when i is divided by q/9 + 28/126? 18 Suppose 3*c + 3*j - 154 = -85, j = 4*c - 102. What is the remainder when c is divided by 15? 10 Let v(u) = -u**3 + 2*u**2 - 32*u + 21. What is the remainder when v(-6) is divided by 24? 21 Let r = 113 - 70. Let w = 96 - r. Calculate the remainder when w is divided by 18. 17 Let b be 158/(-4)*-2*1. Suppose 5 = -g + b. What is the remainder when g is divided by 15? 14 Let b = 51 + -92. Suppose 3*a + 3*a = 678. Calculate the remainder when a is divided by 15/6 + b/(-2). 21 Suppose 200 = 48*o - 5032. Calculate the remainder when o is divided by 37. 35 Let r = 2319 + -1440. What is the remainder when r is divided by 55? 54 Let x = 30 + -54. Let h = -23 - x. What is the remainder when 2 is divided by h? 0 Suppose 0*b + 48 = -4*b. Let x(k) = -k**2 - 16*k + 12. Suppose -d + 46 = 5*j, 2*j - 80 = -5*d + 7*j. What is the remainder when x(b) is divided by d? 18 Let w be (1 - (-1128)/(-10)) + (-51)/255. Let i = w - -141. Let v = -8 + 16. What is the remainder when i is divided by v? 5 Suppose p + 8 = 13. Suppose 0 = i + p*i. Suppose i = 5*g - 42 - 23. Calculate the remainder when 88 is divided by g. 10 Let b be (-24)/16 + (-534)/(-4). Suppose -4*i + 3 = -9, 0 = -5*g + i + b. Calculate the remainder when 53 is divided by g. 26 Suppose 41 - 14 = 3*w + 5*q, 2*w - 31 = q. Let y(u) = -20*u - 156. What is the remainder when w is divided by y(-8)? 2 Let c be (3 + -3)*(2 + -1)/2. Suppose v = -5*o + 2, -v + 8 = -o - c. What is the remainder when v is divided by 2 - (-1)/2*2? 1 Suppose 0*p = -5*p + s + 13, 0 = 5*s + 15. Suppose 0 = -k - p*z + 8, -3*k + z = 7 - 17. Suppose -k = -2*g + 18. What is the remainder when 30 is divided by g? 8 Let c(d) = 5*d + 17. Suppose -20 = -4*j + 24. What is the remainder when j is divided by c(-2)? 4 Let r(c) = -29*c**3 - 14*c**2 - 8*c + 5. What is the remainder when 58 is divided by r(-1)? 2 Suppose -18*c = 3*c - 1344. Calculate the remainder when 250 is divided by c. 58 Let u be 4/(-6)*-1 - 15200/(-24). Suppose 0 = -8*r - 66 + u. What is the remainder when r is divided by 35 + (-4)/(-1) + -2? 34 Suppose 6*s - 171 = -51. Let h be (4/(-10))/((-2)/s). Let j = h + 12. Calculate the remainder when j is divided by 9. 7 Suppose 703 = 11*h - 496. What is the remainder when h is divided by 14? 11 Suppose 6 = -3*j, l + 67 = 2*l + 3*j. Let w = -10 + l. Let v(r) = -5*r**3 - 5*r**2 - 5*r + 2. What is the remainder when w is divided by v(-2)? 31 Suppose -311 - 189 = 5*u. Let x = 152 + u. Suppose x = 2*h + 2*a, 3*a + 9 = -5*h + 143. Calculate the remainder when h is divided by 15. 13 What is the remainder when 58 is divided by (-16)/(-12)*15/12*6? 8 Suppose 0 = c - 2*g + 5, -3*c - g = 37 - 15. Let k(l) = l**3 + 6*l**2 - 8*l - 5. Let t = 0 - -2. What is the remainder when k(c) is divided by t? 0 Let y be 20/3 - (64/24)/4. Suppose y*p - 10 = 62. What is the remainder when 34 is divided by p? 10 What is the remainder when 1518 is divided by (53 + -55)/(1/(-38))? 74 Suppose 4*d = -d - 135. Suppose -5*x + 435 = -0*x. What is the remainder when x is divided by 3*(-5)/(-5) - d? 27 Let t be ((-1)/3)/(3/27). Let a(q) = -4*q - 1. Suppose 0*w + 4*w = 164. What is the remainder when w is divided by a(t)? 8 Let t(s) = 4*s + 26. Let a be t(-9). What is the remainder when (-128)/a*(-55)/(-22) is divided by -1 + (19 - (-1 + 2))? 15 What is the remainder when 34 is divided by (-11)/(22/(-8)) - -9? 8 Let d(y) = 6*y - 6. What is the remainder when -4*(-2)/(-24) + 206/6 is divided by d(2)? 4 Let p(y) = 4*y + 2. Let q = 378 - 337. What is the remainder when q is divided by p(3)? 13 Let q = 0 - -2. Suppose 15*g + 72 = 27*g. Suppose -q*w + g = -w. What is the remainder when 22 is divided by w? 4 Let q(x) = x**3 + 31*x**2 - 82*x - 78. What is the remainder when q(-33) is divided by 91? 86 Suppose -2*t + 17 = -2*v + t, 4*v = 4*t - 32. Let d(z) = -10*z + 10. Let p be d(v). Let b = p + -49. What is the remainder when b is divided by 11? 9 Suppose n + 11*n - 3972 = 0. What is the remainder when n is divided by 25? 6 Let k = 9 - 9. Let g(o) = -o + 25. What is the remainder when 49 is divided by g(k)? 24 Let l(q) = -55*q - 66. Let s(o) = -28*o - 33. Let w(j) = 3*l(j) - 5*s(j). Calculate the remainder when w(-6) is divided by 17. 15 Calculate the remainder when ((-5)/(45/18))/((-2)/659) is divided by 44. 43 Let l(g) = 3*g + 33. Let v be l(-10). Suppose 5*o + q - 410 = 0, -5*o - 2*q + 390 = v*q. Calculate the remainder when o is divided by 22. 17 What is the remainder when ((-4)/(-8))/(-7*(-4)/1232) is divided by 20? 2 Let k be -3 + 271 + -4 + 3. Let x be 1/(k/(-135) + 2). Let m = -21 + x. Calculate the remainder when m is divided by 9. 6 Let p(r) = r**2 + 12*r - 5. What is the remainder when 28 is divided by p(-13)? 4 Suppose q - 4*d + 6 = 0, -5*q = -d - 30 - 35. What is the remainder when -26*(-4)/((-16)/(-6)) is divided by q? 11 What is the remainder when 7 + -1 + 175 + 4 is divided by 55? 20 Let n(w) be the first derivative of 9*w**2/2 - 4*w + 20. Calculate the remainder when 38 is divided by n(2). 10 Let x(m) = m**2 - 2. Let o be x(-2). Suppose 0*w = o*w - 10. Let l = -4411 - -4413. What is the remainder when w is divided by l? 1 Let p(h) = 11*h + 3. Let w be p(3). Suppose v + 3*v + w = 0. Let b = v - -20. What is the remainder when 21 is divided by b? 10 Suppose 3*m = -4*b + 25, -2*m + 2 = -2*b + 4. Suppose k - 23 = i, 84 = b*k + i - 3*i. What is the remainder when k is divided by 40/52 + (-2695)/(-637)? 4 Let u(x) be the second derivative of x**3/3 - 16*x**2 - 6*x. What is the remainder when 10 is divided by u(19)? 4 Let h(m) = -m**3 - 2*m**2 - 8*m + 26. What is the remainder when 92 is divided by h(0)? 14 Suppose 3*m - 25 = 29. Calculate the remainder when 524/9 + (-4)/m is divided by 15. 13 Let u = -14 - 7. Let s be -9 + 5 - u/3. Suppose s*j + 2*j + 15 = 0, -5*y + 128 = 4*j. Calculate the remainder when 81 is divided by y. 25 Let u = 1655 + -1477. Calculate the remainder when u is divided by 63. 52 Suppose 34*g = 7*g + 108. What is the remainder when 161 is divided by g? 1 Suppose -7*w = 1699 - 1972. Calculate the remainder when 1245 is divided by w. 36 Suppose 3*d + 0*d - 216 = 0. Let w = d - 23. Calculate the remainder when w is divided by 20 + -1 - (23 - 17). 10 What is the remainder when 368 is divided by (1/(-2))/((-942)/936 - -1)? 56 Suppose -6*z = -2*z - 36. Suppose 28 + 28 = 4*n - t, 2*t - 8 = 0. Calculate the remainder when n is divided by z. 6 Let b(v) = 10*v**2 - 5*v + 7. Let i(u) = u + 3. Let q be i(0). What is the remainder when b(q) is divided by 21? 19 Let k(j) = -j + 17. Let o be k(7). Suppose 2*w = 64 + o. Suppose -26 = -0*i - 2*i. Calculate the remainder when w is divided by i. 11 Let v = -1030 - -1088. Calculate the remainder when 64 is divided by v. 6 Let q(d) = d - 9. Let o be q(7). Let p(h) = -h - 1. Let u(w) = -4*w - 8. Let t(n) = o*u(n) + 10*p(n). Calculate the remainder when t(0) is divided by 4. 2 Suppose -202*b + 198*b + 248 = 0. What is the remainder when b is divided by 16? 14 Suppose -11*u - 39 = -303. Calculate the remainder when 119 is divided by u. 23 Suppose -3*z = -2*q - 9, -3*z - 5*q + 2*q + 24 = 0. Suppose -2*s + 4 = 0, -z*r + 51 - 15 = 3*s. What is the remainder when 11 is divided by r? 5 Let g(o) = o**3 + 6*o**2 + 13. Calculate the remainder when 78/4 + (-5)/10 + 2 is divided by g(-6). 8 Let g = 32 + -6. Let l = -105 + 139. Suppose -5*x = -j - 30, 2*x + 3*j = -j + l. What is the remainder when g is divided by x? 5 Let f(r) = -r + 70. Suppose 0 = 5*b + 14 - 4, 0 = -5*m - 3*b + 94. What is the remainder when f(13) is divided by m? 17 Let o(s) = 2*s**3 - 5*s**2 + 7*s - 3. Let r be o(3). Suppose -b + r = -3*a, -2*b - b = 5*a - 11. Calculate the remainder when 35 is divided by b. 11 Suppose -125 = 5*d + 100. Let l = -11 - d. Calculate the remainder when l is divided by 18. 16 Let w be (0 - -5) + -1 + 1. Suppose -35 = -2*o - w*m, m = -7*o + 4*o + 33. What is the remainder when (-184)/(-10) - 4/o is divided by 10? 8 Let p(x) = x**2 - 12*x + 6. Let h be p(12). Let v = -11 - -21. What is the remainder when 10 is divided by v/3 + (-2)/h? 1 What is the remainder when 1247 is divided by 2/(-23) + (-20)/46*-221? 95 Let t(m) = m**3 - 4*m**2 - 8*m - 10. Suppose -k - 7 - 5 = -2*z, -8 = k - z. Let i be (4
{ "pile_set_name": "DM Mathematics" }
(7)*3)). -45*sqrt(5) Simplify (sqrt(144) - 3*(sqrt(144) + (sqrt(144) - sqrt(144)*-3)))/(sqrt(132)/(sqrt(44)/sqrt(4))). -28*sqrt(3) Simplify ((sqrt(7056)*2*1)/((sqrt(2240)*2)/sqrt(5)))**2. 63/4 Simplify -4*(4 + ((sqrt(2299) + 1 + 4)*-6)**2)*1. -334672 - 15840*sqrt(19) Simplify (-4*sqrt(12)*-5)/(sqrt(8)/sqrt(18)) + 3 + 2. 5 + 60*sqrt(3) Simplify ((sqrt(114) - 1*(-1*sqrt(114) + sqrt(114))) + (-1*(sqrt(114) + sqrt(114)*-2) + sqrt(114) - sqrt(114)))/(-2*(sqrt(600) + -2*sqrt(600))). sqrt(19)/10 Simplify ((3*sqrt(36))/sqrt(2))/sqrt(6) - (sqrt(24)/sqrt(128) + -1). 1 + 11*sqrt(3)/4 Simplify (4 + 3*sqrt(2299)*-2 - (0 + -4 + -1*sqrt(2299)))**2. -880*sqrt(19) + 57539 Simplify (-4 + 5*(sqrt(405) + -2))**2 + (sqrt(405)*-1 + 5 - (sqrt(405) - (-4 + sqrt(405) + 0 + sqrt(405))**2)). -1422*sqrt(5) + 11962 Simplify (3*(sqrt(144) + -2*sqrt(144)*-4 + sqrt(144)))/(1*sqrt(1152) - sqrt(88)/(-1*sqrt(11))). 90*sqrt(2)/13 Simplify (2*sqrt(200) + 5 + -4 + (sqrt(162) - (sqrt(162) + (sqrt(162) - (-2 + sqrt(162) + sqrt(162))))) + sqrt(2))**2 + -2. -60*sqrt(2) + 1799 Simplify (5 + (4 + sqrt(833) + 1*sqrt(833)*-6)**2)*-1. -20846 + 280*sqrt(17) Simplify (6*(sqrt(104) + (6*(sqrt(104) - -2*sqrt(104)) - sqrt(104)) + sqrt(104)))/((sqrt(32)*-2)/sqrt(4)*-5). 57*sqrt(13)/5 Simplify (-5*sqrt(153)*3)/(sqrt(324)*4). -5*sqrt(17)/8 Simplify 1 + (6*-3*sqrt(832)*-6)**2*-6. -58226687 Simplify (1*(sqrt(162) + -1 - sqrt(162))*-1*-6*6)**2. 1296 Simplify (-5*(0 + 0 + sqrt(2736) + 4))**2. 2400*sqrt(19) + 68800 Simplify ((-2 + ((sqrt(128) + sqrt(128) + -1 + sqrt(128))*4 - (sqrt(128) - ((sqrt(128)*3 - sqrt(128)) + sqrt(128) + sqrt(128) + -2))))*3)**2. -17280*sqrt(2) + 259776 Simplify ((sqrt(114) + -2*sqrt(114))*-1)/(5*(-2*sqrt(6) - sqrt(6))) - (-5*sqrt(19)*3 + sqrt(2736)*-3). 764*sqrt(19)/15 Simplify ((2*(sqrt(77) + (sqrt(77) - (sqrt(77) - 2*sqrt(77))) - sqrt(77)))/(sqrt(175)*-1) + 3)*6. -24*sqrt(11)/5 + 18 Simplify 2 + -2 + sqrt(1377) - 1*(sqrt(1377) - -3*sqrt(1377)). -27*sqrt(17) Simplify 3*((sqrt(144) + 1*sqrt(144))/sqrt(6))/((sqrt(8) - (sqrt(8) + (sqrt(8) - (sqrt(8) - (sqrt(32) - sqrt(8))))*2)) + sqrt(8)) + 5. -6*sqrt(3) + 5 Simplify sqrt(152)/(-5*sqrt(8))*-3 - sqrt(190)/((sqrt(1440) - (sqrt(1440) - (sqrt(1440) - sqrt(1440)*-5) - sqrt(1440))) + sqrt(1440)). 283*sqrt(19)/480 Simplify (-2*((1*sqrt(19) - sqrt(19))*6 + -1 + -2)*-5)**2. 900 Simplify 2 + -3 + 0 + sqrt(76) + -2 + sqrt(76). -3 + 4*sqrt(19) Simplify sqrt(51)/sqrt(3)*-6*3 - ((0 + sqrt(17) + -1)**2 + (sqrt(17) - (2*sqrt(17) + 3 - sqrt(17)))**2). -16*sqrt(17) - 27 Simplify (-2*-1*(2 + (3*sqrt(162)*4 - sqrt(162)) + sqrt(162)))**2. 1728*sqrt(2) + 93328 Simplify ((-4 + sqrt(12)/sqrt(4) + 3)*6)**2 - (-3*sqrt(24)*-1)/sqrt(2). -78*sqrt(3) + 144 Simplify ((-6*-2*sqrt(510))/sqrt(10))/((-1*sqrt(3000))/sqrt(10)). -6*sqrt(17)/5 Simplify (-3 + ((sqrt(54)/sqrt(2)*-1)/sqrt(9) - (2 + (3*sqrt(36))/sqrt(12))))**2. 40*sqrt(3) + 73 Simplify -4*(sqrt(13) + 4 + sqrt(13))**2*2 - sqrt(104)/sqrt(2)*4. -544 - 136*sqrt(13) Simplify sqrt(96)/(sqrt(2)*-1) + 0 + -2. -4*sqrt(3) - 2 Simplify 0 + (0 + (sqrt(325) + -2 + 5)*-5)**2. 750*sqrt(13) + 8350 Simplify (sqrt(34)*2)/sqrt(2) + 5 - (sqrt(68)/(sqrt(4) + 1*sqrt(4)) - (sqrt(136) - (sqrt(136) + sqrt(136)*-1 + sqrt(136)))/sqrt(8)). 5 + 3*sqrt(17)/2 Simplify (2 + -1*(4*3*sqrt(1377)*-1)**2)*-3. 594858 Simplify (3*-3*sqrt(84)/(2*sqrt(12)*1)*-2)**2. 567 Simplify (-5*(sqrt(76) - sqrt(76)*-2)*-6*5 + 1)**2. 1800*sqrt(19) + 15390001 Simplify (1*sqrt(209)*3*-4)/(sqrt(121)/(sqrt(44)/(sqrt(28)/sqrt(7)))). -12*sqrt(19) Simplify ((-1 + (sqrt(204) - -6*-4*sqrt(204) - sqrt(204))/(sqrt(36)/(sqrt(3)*-1)))*-5)**2. -1200*sqrt(17) + 244825 Simplify (-4*(sqrt(132) + sqrt(132)*2*-4))/(-1*1*sqrt(300) + sqrt(300) - sqrt(300)). -28*sqrt(11)/5 Simplify (5*sqrt(2)*-1*-2)**2 + sqrt(8) + -3 + 1*(sqrt(8)/sqrt(4) + sqrt(2)). 4*sqrt(2) + 197 Simplify ((sqrt(56)*2*-4)/(sqrt(8) + 4*sqrt(72)))**2 - (sqrt(63)/sqrt(36) - sqrt(77)/sqrt(44)). 448/169 Simplify -4 + sqrt(4)/sqrt(2) + 3 - (2 + sqrt(16)/(sqrt(16)/sqrt(2)))**2. -7 - 3*sqrt(2) Simplify (-5 + (sqrt(1053) + sqrt(1053)*3*-3)*5 + 2)**2. 2160*sqrt(13) + 1684809 Simplify ((sqrt(175) + (sqrt(175) + 0)*-6)**2 - (4*(-2*sqrt(175) - sqrt(175)))**2) + (2 + -1 + (sqrt(175) + 0 - sqrt(175)))**2. -20824 Simplify -5 + (((sqrt(91) + -1*sqrt(91))*-3)/(sqrt(252)*2))**2. -5 Simplify -5 + sqrt(7) + sqrt(28) + 0 + (1 + sqrt(567))**2 + sqrt(63)/(sqrt(9) + sqrt(9) + sqrt(9) + sqrt(144)). 148*sqrt(7)/7 + 563 Simplify -4*(sqrt(192)*3 + 1)**2 - (4 + (-2*-3*sqrt(192))**2). -13832 - 192*sqrt(3) Simplify ((1*sqrt(1452)*-2)/((sqrt(264)/sqrt(99))/sqrt(4)))**2. 8712 Simplify (-4 + sqrt(7) + 2 + 3 + 4 + -2)*6. 6*sqrt(7) + 18 Simplify 6*(sqrt(847)*2 - sqrt(847) - sqrt(77)/(sqrt(33)/sqrt(3)))**2 + (3*(-1 + sqrt(7)*2*-3))**2. 108*sqrt(7) + 6477 Simplify -1 + ((-2*sqrt(84) + sqrt(84))*-1)/(((sqrt(108) - sqrt(108)*-2) + sqrt(108))/sqrt(9)). -1 + sqrt(7)/4 Simplify (sqrt(4) + sqrt(44)/sqrt(176))/(sqrt(24)/sqrt(3)) + 5 + 4. 5*sqrt(2)/8 + 9 Simplify (((sqrt(13) + sqrt(52) - sqrt(13)) + 3)*-6 - (-1*sqrt(468) - sqrt(468))*-2)**2. 1296*sqrt(13) + 17172 Simplify (-1 + sqrt(190)/sqrt(360))**2 - -6*(sqrt(2299) + -1 - sqrt(2299))**2. -sqrt(19)/3 + 271/36 Simplify (2 + -3*sqrt(1539) + -5)**2*2. 324*sqrt(19) + 27720 Simplify ((3*sqrt(1536))/(3*sqrt(192)))**2 + -2. 6 Simplify ((sqrt(117)*-3*3 - sqrt(117))*-5)/(sqrt(225) - (sqrt(225) + -5*sqrt(225)*1 - sqrt(225))). 5*sqrt(13)/3 Simplify (6*sqrt(2448)*-2 + 1 + sqrt(2448)*1 + 2*(-3*sqrt(2448) + sqrt(2448) - sqrt(2448)) + 3)**2. -1632*sqrt(17) + 707488 Simplify 5*(sqrt(80) + sqrt(80) + sqrt(80) + -3 + sqrt(80)*-2 + sqrt(80) - (sqrt(80) + 5 + -1*sqrt(80) + sqrt(80)))**2. -320*sqrt(5) + 720 Simplify ((sqrt(12) + sqrt(36)/sqrt(3))*-1 + sqrt(108)/(sqrt(9) - sqrt(144)))/((sqrt(150) + sqrt(150)*1)*3). -7*sqrt(2)/90 Simplify sqrt(4)/(sqrt(8)/sqrt(4)) - (sqrt(128) + sqrt(128)*1) - (-2 + sqrt(128)*1). -23*sqrt(2) + 2 Simplify 2*(sqrt(60)*1*-4)/(sqrt(972)*-2 - sqrt(972)) + -4. -4 + 8*sqrt(5)/27 Simplify (-6*(sqrt(864) - -2*sqrt(864)))/((-2*sqrt(40)*-1)/sqrt(5)). -54*sqrt(3) Simplify ((sqrt(99)*2)/sqrt(9) + -3 - -3*sqrt(132)/(sqrt(60)/sqrt(5))) + 1. -2 + 5*sqrt(11) Simplify 5 + (-5 + 2*sqrt(17))**2 - (sqrt(136) - 4*-1*sqrt(136))/sqrt(8). -25*sqrt(17) + 98 Simplify 0 + (sqrt(1008)*5)/((-2*sqrt(81))/sqrt(9)). -10*sqrt(7) Simplify -5*-6*(sqrt(45) - (-1*sqrt(540))/sqrt(12))/(sqrt(9) - (sqrt(81) + 1*sqrt(81))/sqrt(9)). -60*sqrt(5) Simplify (-2*(-3*sqrt(5) + sqrt(5) + 3) - (1 + sqrt(5) + -1 - (sqrt(720) + -2*sqrt(720))))**2*-3. -1323 - 324*sqrt(5) Simplify (-2 + ((sqrt(1000)*3 + sqrt(1000))/sqrt(2) - (2 + 2 + sqrt(5) + 1)))**2. -546*sqrt(5) + 7654 Simplify (1*(sqrt(17) - sqrt(272)*4)*2 - ((3 + sqrt(17) - sqrt(17))*1 - sqrt(17) - sqrt(612)*5))**2. -6*sqrt(17) + 26 Simplify ((sqrt(168)*-3)/sqrt(3)*-6)/(sqrt(64)/(sqrt(8) - 4*sqrt(8))*-3). 18*sqrt(7) Simplify (1*(sqrt(7) + 2) + sqrt(7))*-4 - (sqrt(56) + (sqrt(6776) - (sqrt(6776) - sqrt(6776)*2)))/sqrt(8). -31*sqrt(7) - 8 Simplify -1*((sqrt(135) + sqrt(135)*1)*-3 - sqrt(135))/sqrt(3). 21*sqrt(5) Simplify (-1*sqrt(11)*-1 + (sqrt(11) - -1*sqrt(704)) + -4)**2*2. -160*sqrt(11) + 2232 Simplify -4*((sqrt(288) + sqrt(288)*2)**2 - sqrt(288)) + sqrt(6)/(2*sqrt(48)). -10368 + 385*sqrt(2)/8 Simplify ((4*2*sqrt(243) + 5*(sqrt(243) + 2*sqrt(243)) + sqrt(243))*-6)**2*-3. -15116544 Simplify (5*1*sqrt(104) - sqrt(104)*1*5)/(2*sqrt(200)*4). 0 Simplify -1 + ((-4*-2*sqrt(152) - sqrt(152)) + sqrt(152))/((sqrt(24) - sqrt(864))/sqrt(3) - sqrt(8)). -4*sqrt(19)/3 - 1 Simplify (-2*(1 + sqrt(1620)) - (sqrt(1620) + -5*1*sqrt(1620)))**2. -144*sqrt(5) + 6484 Simplify 1 + (sqrt(90)/(sqrt(50)/sqrt(5)))/(sqrt(1029)/sqrt(7) - sqrt(3) - sqrt(3)). sqrt(3)/5 + 1 Simplify (sqrt(19) - ((sqrt(19) + 0 + sqrt(19) - sqrt(19) - sqrt(19)) + 3)**2) + (-1 + sqrt(931))**2 + (0 + sqrt(171) + sqrt(95)/sqrt(80))**2. -13*sqrt(19) + 17979/16 Simplify 4*((0 + sqrt(72))*4 - (1*sqrt(72)*-2)**2). -1152 + 96*sqrt(2) Simplify (-1*sqrt(450))/((sqrt(30) - 3*sqrt(30) - sqrt(30))/sqrt(3)). sqrt(5) Simplify (1 + sqrt(605) + -1 - sqrt(605)) + 0 + ((1*sqrt(495) - sqrt(495))/(2*sqrt(891)))**2. 0 Simplify (sqrt(19) - (5 + 2*sqrt(19)) - sqrt(114)/(sqrt(6) + sqrt(36)/sqrt(6) + sqrt(6)) - (1 + 1 + sqrt(2736) - 5*(sqrt(2736) + -1 + sqrt(2736)
{ "pile_set_name": "DM Mathematics" }
are the prime factors of 885541506? 2, 3, 29, 109, 46691 What are the prime factors of 1194392357? 179, 37277 What are the prime factors of 693431334? 2, 3, 19, 675859 List the prime factors of 185938129. 13, 17, 841349 List the prime factors of 1203366508. 2, 89, 3380243 What are the prime factors of 772705768? 2, 179, 241, 2239 What are the prime factors of 1651279731? 3, 71, 293, 26459 What are the prime factors of 277243509? 3, 29, 31, 102797 What are the prime factors of 219081720? 2, 3, 5, 11, 13, 17, 751 What are the prime factors of 208853563? 29, 7201847 What are the prime factors of 27898514? 2, 7, 263, 7577 List the prime factors of 101942426. 2, 53, 83, 11587 List the prime factors of 49842452. 2, 11, 1132783 List the prime factors of 63721583. 63721583 List the prime factors of 796053679. 17, 1627, 1693 What are the prime factors of 3100976643? 3, 19, 109, 241 List the prime factors of 7673102926. 2, 3836551463 What are the prime factors of 23882782? 2, 7, 11, 155083 What are the prime factors of 3770655? 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7, 3067, 6373 What are the prime factors of 102305765? 5, 29, 109, 6473 What are the prime factors of 61050042? 2, 3, 3391669 What are the prime factors of 247344079? 247344079 List the prime factors of 335532881. 335532881 What are the prime factors of 792266203? 167, 4744109 List the prime factors of 1325736431. 59, 22470109 What are the prime factors of 1921744? 2, 11, 61, 179 List the prime factors of 78091090. 2, 5, 7, 11, 37, 2741 List the prime factors of 1202311913. 11, 23, 4752221 What are the prime factors of 2458838829? 3, 67, 307, 39847 What are the prime factors of 986598725? 5, 7, 5637707 List the prime factors of 36890052. 2, 3, 3074171 What are the prime factors of 655017279? 3, 7, 601, 51899 List the prime factors of 73386390. 2, 3, 5, 7, 11, 31769 List the prime factors of 235843475. 5, 7, 197, 6841 What are the prime factors of 15851322? 2, 3, 293543 What are the prime factors of 34285500? 2, 3, 5, 19, 401 What are the prime factors of 3307367998? 2, 11, 150334909 List the prime factors of 1685784857. 43, 39204299 List the prime factors of 111563423. 2437, 45779 What are the prime factors of 6407006139? 3, 193, 647, 5701 What are the prime factors of 1298914146? 2, 3, 59, 1223083 What are the prime factors of 1371069305? 5, 274213861 List the prime factors of 229997899. 53, 419, 10357 List the prime factors of 669830868. 2, 3, 7, 2658059 What are the prime factors of 795243678? 2, 3, 2161, 61333 List the prime factors of 417030428. 2, 71, 431, 3407 List the prime factors of 164816376. 2, 3, 113, 60773 List the prime factors of 957926988. 2, 3, 26609083 List the prime factors of 26417324. 2, 6604331 What are the prime factors of 1464166921? 7, 31, 107, 63059 List the prime factors of 119198232. 2, 3, 1655531 List the prime factors of 650590447. 13, 50045419 List the prime factors of 39755084. 2, 479, 20749 List the prime factors of 378242303. 1087, 347969 What are the prime factors of 6173502535? 5, 9391, 131477 What are the prime factors of 83884030? 2, 5, 283, 29641 List the prime factors of 44969390. 2, 5, 19, 236681 List the prime factors of 345106442. 2, 172553221 List the prime factors of 507379710. 2, 3, 5, 241, 70177 What are the prime factors of 5274404167? 157, 193, 174067 What are the prime factors of 353162710? 2, 5, 137, 257783 List the prime factors of 1024030895. 5, 204806179 List the prime factors of 314509822. 2, 11, 14295901 What are the prime factors of 34719677? 34719677 What are the prime factors of 60538614? 2, 3, 53, 127, 1499 What are the prime factors of 126244937? 7, 13, 103, 13469 What are the prime factors of 37164627? 3, 19, 217337 What are the prime factors of 709753097? 709753097 List the prime factors of 203356321. 7, 4150129 What are the prime factors of 291941111? 7, 11, 47, 80669 What are the prime factors of 436242001? 13, 33557077 What are the prime factors of 850883661? 3, 7057, 13397 What are the prime factors of 1026712701? 3, 7, 16297027 List the prime factors of 66405198. 2, 3, 109, 101537 List the prime factors of 493093921. 41, 311, 38671 List the prime factors of 314275584. 2, 3, 7, 53, 1103 List the prime factors of 2329137602. 2, 11, 105869891 What are the prime factors of 3250426570? 2, 5, 31, 127, 82561 What are the prime factors of 1195182634? 2, 597591317 List the prime factors of 107543474. 2, 53771737 List the prime factors of 1040923913. 1040923913 What are the prime factors of 792031152? 2, 3, 11, 31, 53, 83 What are the prime factors of 49945545? 3, 5, 13, 149, 191 What are the prime factors of 629772786? 2, 3, 17, 686027 What are the prime factors of 1421486213? 7, 203069459 List the prime factors of 890721168. 2, 3, 18556691 What are the prime factors of 67563542? 2, 17, 733, 2711 List the prime factors of 27646702. 2, 13823351 List the prime factors of 7067756383. 7067756383 List the prime factors of 135119517. 3, 13, 101, 34303 What are the prime factors of 2787232572? 2, 3, 29, 889921 List the prime factors of 43199769. 3, 193, 74611 What are the prime factors of 2116925936? 2, 1823, 72577 What are the prime factors of 99040376? 2, 191, 64817 List the prime factors of 13071414. 2, 3, 271, 8039 List the prime factors of 74444961. 3, 59, 420593 What are the prime factors of 2234445737? 29, 77049853 What are the prime factors of 1344372962? 2, 4051, 165931 List the prime factors of 417058607. 7, 19, 165041 List the prime factors of 43157338. 2, 7, 23, 41, 467 List the prime factors of 2009928271. 13, 154609867 List the prime factors of 2093078865. 3, 5, 139538591 What are the prime factors of 446166468? 2, 3, 11, 41729 What are the prime factors of 86709266? 2, 7, 47, 131777 What are the prime factors of 1479621047? 7879, 187793 List the prime factors of 2232864072. 2, 3, 31012001 List the prime factors of 3551064312. 2, 3, 17, 8703589 What are the prime factors of 93723971? 11, 353, 24137 What are the prime factors of 124540691? 11, 17, 665993 What are the prime factors of 2545842863? 53, 103
{ "pile_set_name": "DM Mathematics" }
+ 6*d - 3 - 4*d. Let i = -5 + 8. Determine i*y(g) + o*q(g). 2*g Let q(l) = -7*l**3 - 7*l**2 + 5*l. Let o(h) = 4*h**3 + 3*h**2 - 3*h. What is -5*o(c) - 3*q(c)? c**3 + 6*c**2 Let j(p) = -7*p**2 + 3. Let z(r) = -r**2. What is j(f) - 6*z(f)? -f**2 + 3 Let b(y) = y. Let m(r) = 12*r. Give 35*b(z) - 5*m(z). -25*z Let u(b) be the third derivative of b**5/30 - b**4/8 + 5*b**2. Let o be ((-1)/2)/(1/(-16)). Let z(l) = 4*l + 5*l + 4*l - o*l**2. Determine -9*u(g) - 2*z(g). -2*g**2 + g Let p(t) = -7*t**2 + 77*t. Let u(j) = j. Determine 2*p(o) - 154*u(o). -14*o**2 Suppose 3*m - 22 = m. Let w(x) = -2*x**2 + 4*x. Let b(o) = 5*o**2 - 11*o. What is m*w(n) + 4*b(n)? -2*n**2 Let n(t) = t**2 + t - 3. Let f(g) be the second derivative of -g**3/6 - g**2/2 - 4*g. Give f(v) - n(v). -v**2 - 2*v + 2 Let f(v) = -v - 17. Let i(o) = -3*o - 35. Calculate 5*f(q) - 2*i(q). q - 15 Let v(z) = 1. Let a(y) = -4*y**2 + y - 1. Determine a(g) + v(g). -4*g**2 + g Let i(v) = -v**2 + 6*v + 3. Let l(a) = -a**2. Let o(d) = i(d) - 6*l(d). Let n(m) = 4*m**2 + 5*m + 2. Calculate -4*n(c) + 3*o(c). -c**2 - 2*c + 1 Let v(r) = -8*r + 3. Suppose 6*o + 85 = o. Let z(l) = -3*l + 1. What is o*z(c) + 6*v(c)? 3*c + 1 Let y(r) = 100*r. Let o(f) = -11*f. Give 55*o(i) + 6*y(i). -5*i Let d(z) = -2*z**3 + 2*z + 14. Let p(a) = -4*a**3 + 5*a + 29. Give 5*d(m) - 2*p(m). -2*m**3 + 12 Let h(d) = -7*d - 2. Let g(o) = -4*o - 1. Let b be (-15)/(-2)*4/6. Calculate b*g(j) - 3*h(j). j + 1 Let l be (-6)/(-5)*40/16. Let m(x) be the second derivative of -2*x - 5/2*x**2 + 0 - 1/12*x**4 - 5/6*x**l. Let f(i) = 2*i + 2. Determine 5*f(z) + 2*m(z). -2*z**2 Let i(j) = -j**3 - 2*j**2 - 2*j - 2. Let x(m) = 4*m**3 + 9*m**2 + 9*m + 9. Let l = -88 + 106. Give l*i(z) + 4*x(z). -2*z**3 Let z(o) = -15*o**2 + 7*o - 2. Let m(v) = 9*v**2 + 3 - 4*v**2 - 4*v + 3*v**2 - 2. Give -11*m(y) - 6*z(y). 2*y**2 + 2*y + 1 Let w(l) = -5*l + 19. Let h be w(3). Let y(g) = -2*g**3 + 4*g**2 + 4*g + 4. Let o(j) = j**3 - 3*j**2 - 3*j - 3. Determine h*o(b) + 3*y(b). -2*b**3 Let p(d) = 5*d + 4. Let k(b) be the third derivative of -8*b**2 + 5/6*b**3 + 1/4*b**4 + 0*b + 0. Calculate 6*k(f) - 7*p(f). f + 2 Let c(j) = -9*j - 23. Let r(l) = -3*l - 13. Let b(o) = 3*o + 12. Let g(x) = 5*b(x) + 4*r(x). Let a(w) = -19*w - 2. Let q be a(-1). Give q*g(k) + 6*c(k). -3*k - 2 Let f(n) be the first derivative of -16*n**3/3 + 2*n**2 - 10*n - 2. Let d(p) = 5*p**2 - p + 3. Let g be (-6)/(-15) - 364/35. Determine g*d(a) - 3*f(a). -2*a**2 - 2*a Let f be 40/(-12)*(-36)/15. Let y = -17 + f. Let w be y*(1 - -2 - 1). Let v(o) = o**3 + 2*o. Let z(t) = 5*t**3 + 9*t. Determine w*v(r) + 4*z(r). 2*r**3 Let p(d) = -15*d - 21. Suppose 0 = 4*n - 4*i - 0*i, 0 = 5*n + 5*i - 40. Let w(b) = 3*b + 4. What is n*p(o) + 21*w(o)? 3*o Let z(h) be the first derivative of -3 + 2/3*h**3 - 2*h**2 - 4*h. Suppose -b + 5*d + 6 = 3*b, 5*b - 2*d = 16. Let w(i) = i + 1. What is b*w(n) + z(n)? 2*n**2 Let z(h) = -h**3 + h**2 + h - 1. Let u(g) = -3*g**3 + 10*g**2 + 10*g - 4. Let v(c) = u(c) - 4*z(c). Let y(o) = -o**3 - 5*o**2 - 5*o. Give 5*v(a) + 6*y(a). -a**3 Let n(z) = 2*z**2 + 3. Let v(m) = -2*m**2 - 4. Suppose 3*f - 4 = 4*f. Calculate f*n(a) - 3*v(a). -2*a**2 Let a(w) = -12*w**3 - 4*w - 4. Let u(v) = -12*v**3 - 5*v - 5. Determine 5*a(n) - 4*u(n). -12*n**3 Let c(s) = -2*s + 2. Let y(j) = -j + 1. Let b(r) = r - 1. Let a(p) = -b(p) - 2*y(p). What is -4*a(i) - 3*c(i)? 2*i - 2 Let a(q) = -100*q**3 + q**2 - 11. Let g(n) = 20*n**3 + 2. Calculate -2*a(k) - 11*g(k). -20*k**3 - 2*k**2 Let y(w) = -w + 10. Let i be y(8). Let l(u) = -u**3 - u**2 - u + 1. Let o(d) = -6*d**3 - 2*d**2 - 2*d + 2. Calculate i*l(a) - o(a). 4*a**3 Let x = 0 + -5. Let o(r) be the second derivative of -r**4/2 + 2*r**3/3 - r**2 + 7*r + 2. Let n(f) = 3*f**2 - 2*f + 1. Give x*n(l) - 2*o(l). -3*l**2 + 2*l - 1 Let c(w) = -w - 1. Let t(u) = 0 - 2 - 4 + 2. Let n(z) = -z + 9. Let j(p) = 2*n(p) + 5*t(p). Determine -6*c(i) + 2*j(i). 2*i + 2 Let t(l) = -1. Let m(a) = -3*a - 1. Calculate -m(n) + t(n). 3*n Let l(k) = 42*k**3 - 7*k**2 + 7*k - 7. Let q(i) = 42*i**3 - 6*i**2 + 6*i - 6. What is -6*l(n) + 7*q(n)? 42*n**3 Let u(j) = 9*j + 3. Let s(n) = -100*n - 32. What is 3*s(o) + 32*u(o)? -12*o Let d(w) = -2*w**3 + 5*w**2 - 2*w + 3. Let v(u) = -6*u**3 + 16*u**2 - 6*u + 10. Determine 10*d(b) - 3*v(b). -2*b**3 + 2*b**2 - 2*b Let t(r) = -3*r**2 + r - 1. Let f(l) = -l**2 - l - 1. Determine f(x) - t(x). 2*x**2 - 2*x Suppose 2*w = 9 - 7. Let l(g) = 3*g - 10. Let f be l(5). Let m(h) = -1. Let a(t) = t + 3. Give f*m(v) + w*a(v). v - 2 Let z(t) = -1 + 3484*t - 13*t**2 - 3477*t + 10 + 3*t**3. Let u(i) = -i**3 + 6*i**2 - 3*i - 4. Determine 9*u(p) + 4*z(p). 3*p**3 + 2*p**2 + p Let z(t) = 3*t**3 + 5*t + 7. Let m(w) = 12*w**3 + 11*w + 11 - 3*w - w**3 - 6*w**3. Determine 5*m(c) - 8*z(c). c**3 - 1 Let n(v) = 3*v**2 - 535*v - 7 + 5 + 9 + 537*v. Let j(h) = 5*h**2 + 4*h + 13. Determine -6*j(q) + 11*n(q). 3*q**2 - 2*q - 1 Let c(d) = -d - 1. Suppose -1 = 4*x - 5. Suppose -5*s - 3*s + 24 = 0. Let j(g) = g**2 + 3*g + 3. What is s*c(m) + x*j(m)? m**2 Suppose 4*v - 8*v - 4 = 0. Let s(t) = -t - 3. Let j(q) = -q. Give v*s(r) + 2*j(r). -r + 3 Let k(b) = b - 1. Let p(f) = 2*f - 1. What is k(t) - p(t)? -t Suppose 4*u + u = 4*c + 12, 2*c = u - 6. Let q(b) = -b + 2. Let o(a) be the second derivative of -a**2/2 - 2*a - 4. What is c*q(w) - 6*o(w)? 3*w Let v(m) = -3*m**3 - 4*m**2 - 5. Let t = 4 - 15. Let b(p) = -8*p**3 - 11*p**2 - 14. Give t*v(c) + 4*b(c). c**3 - 1 Let q(k) = -k**3 + 1. Let w be (1/(-3))/((-2)/6). Let d(l) = -8*l**3 - 2*l**2 + 2*l + 10. Let v = 24 - 34. What is v*q(f) + w*d(f)? 2*f**3 - 2*f**2 + 2*f Let s(o) = o + 1. Let h(n) = 2*n**2 + 3*n + 3. Let i be (2/2)/(22/44). Determine i*h(d) - 6*s(d). 4*d**2 Let d(g) = g. Let z(t) = 6. Let i(w) = 6*d(w) + z(w). Let x(k) = -5*k - 5. What is -4*i(u) - 5*x(u)? u + 1 Let w(o) = -5*o - 1. Suppose -n = 4*c - 6, -2*c - 6 = -0*n - n. Let x(h) be the second derivative of 7*h**3/3 + 3*h**2/2 - h. Determine n*x(a) + 17*w(a). -a + 1 Let u be (8/(-6))/((-2)/6). Let h(a) = a**3 - 2*a**2. Let r(n) = 5*n**3 - 11*n**2. Determine u*r(y) - 22*h(y). -2*y**3 Let b(q) = -31*q**2 - 4*q - 4. Let o(l) = 93*l**2 + 11*l + 11. Determine 11*b(f) + 4*o(f). 31*f**2 Let h(a) = 3*a + 5. Let c(o) = 3*o + 6. Suppose 6 + 0 = -2*u, 0 = 4*g + u + 27. Let b = 9 + -4. Give b*c(x) + g*h(x). -3*x Let u(b) = 5*b**2 - 17*b + 17. Let l(p) be the first derivative of -2*p**3/3 + 3*p**2 - 6*p + 37. Give 17*l(j) + 6*u(j). -4*j**2 Let a(l) = l + 5. Let q be a(-4). Let k(g) = -4*g. Let x(o) be the second derivative of o**3/6 - 3*o. Give q*k(d) + 5*x(d). d Let c(z) = -36*z - 16. Let w(m) be the second derivative of -7*m**3/6 - 3*m**2/2 - 11*m. Give -3*c(u) + 16*w(u). -4*u Let d(h) = 7 + 9*h - 2*h**2 + 1 - 4*h - 3. Let a(m) be the second derivative of m**4/12 - m**3/3 - m**2 - 2*m. Calculate 5*a(p) + 2*d(p). p**2 Let q(m) = -4*m**3 - 3*m**2 - 2*m - 2. Let b = 22 + -22. Suppose b = 2*x - 28 + 6. Let k(y) = -21*y**3 - 15*y**2 - 11*y - 11. Calculate x*q(s) - 2*k(s). -2*s**3 - 3*s**2 Let r(d) = -d + 3. Let w = 246 + -248. Let l(k) = 3 - 10 - 3 + 4*k. Determine w*l(x) - 7*r(x). -x - 1 Let k(c) = c + 1. Let n(g) be the first derivative of -g - 1. Calculate -k(l) - 4*n(l). -l + 3 Let p(z) = 2*z - 2. Let x(o) = -6*o + 6. Suppose 0 = -2*h - 3*h + 3*v, 5*h = 5*v. Let n(u) = -u**3 - u**2 + 2. Let f be n(h). What is f*x(a) + 7*p(a)? 2*a - 2 Suppose g - 19 = -13. Let h(c) = -5*c + 5*c + 5 - 7*c. Let j(m) = -8*m + 6. Calculate g*h(b) - 5*j(b). -2*b Suppose -7 = 5*t - 12. Let k(u) = 9*u. Let h(m) = -m. What is t*k(d) + 4*h(d)? 5*d Let v(c) be the second derivative of c**3/6 - c**2/2 - 5*c. Let o(h) = 1. Give -2*o(i) + v(i). i - 3 Let y(t) = -12*t**2 + 12*t - 12. Let s(b) = b - 1. Determine -24*s(d) + 2*y(d). -24*d**2 Let r(g) = -85*g**3 - 11*g**2 + 16*g. Let n(f) = -17*f**3 - 2*f**2 + 3*f. Calculate -11*n(v) + 2*r(v). 17*v**3 - v Suppose -4*a + 2*a = 4*d - 30, 4*d + 4*a = 36. Suppose -d = -s - 2*s. Let z(m) = -2*m**3 - m - 5. Let f(c) = -c**3 - c - 2. What is s*z(q) - 5*f(q)? q**3 + 3*q Let j(a) = -34*a**3 + 5. Let s(r) = -119*r**3 + 17. Determine 17*j(d) - 5*s(d). 17*d**3 Let w(r) be the third derivative of r**6/30 - r**5/20 - r**3/6 + 10*r**2. Let j(h) = h**3 - h**2. Calculate 7*j(l) - 2*w(l). -l*
{ "pile_set_name": "DM Mathematics" }
6199 is divided by 93. 22 What is the remainder when 1490482 is divided by 30? 22 Calculate the remainder when 35127 is divided by 17547. 33 What is the remainder when 66264 is divided by 37? 34 Calculate the remainder when 69468 is divided by 29. 13 What is the remainder when 1831003 is divided by 199? 4 What is the remainder when 29879 is divided by 476? 367 What is the remainder when 128151 is divided by 7112? 135 Calculate the remainder when 382085 is divided by 174. 155 Calculate the remainder when 8198 is divided by 31. 14 Calculate the remainder when 1716 is divided by 115. 106 What is the remainder when 1715835 is divided by 224? 219 Calculate the remainder when 4158 is divided by 44. 22 Calculate the remainder when 27443 is divided by 339. 323 Calculate the remainder when 247 is divided by 183. 64 What is the remainder when 4368 is divided by 12? 0 What is the remainder when 10635 is divided by 643? 347 Calculate the remainder when 11615 is divided by 33. 32 Calculate the remainder when 18162 is divided by 1779. 372 Calculate the remainder when 163289 is divided by 13. 9 What is the remainder when 83906 is divided by 83? 76 What is the remainder when 99341 is divided by 73? 61 Calculate the remainder when 9543 is divided by 9528. 15 What is the remainder when 218107 is divided by 251? 239 Calculate the remainder when 2170 is divided by 101. 49 Calculate the remainder when 65121 is divided by 99. 78 What is the remainder when 980905 is divided by 1134? 1129 Calculate the remainder when 8866 is divided by 522. 514 What is the remainder when 177600 is divided by 394? 300 Calculate the remainder when 16973 is divided by 143. 99 Calculate the remainder when 38386 is divided by 111. 91 Calculate the remainder when 2832 is divided by 313. 15 Calculate the remainder when 14168 is divided by 4722. 2 Calculate the remainder when 693 is divided by 236. 221 Calculate the remainder when 4616 is divided by 1426. 338 What is the remainder when 504151 is divided by 3? 1 What is the remainder when 314522 is divided by 546? 26 Calculate the remainder when 93096 is divided by 1349. 15 What is the remainder when 25870 is divided by 49? 47 Calculate the remainder when 6073 is divided by 414. 277 Calculate the remainder when 5815 is divided by 28. 19 What is the remainder when 3462 is divided by 92? 58 Calculate the remainder when 78098 is divided by 20. 18 Calculate the remainder when 10782 is divided by 68. 38 What is the remainder when 31727 is divided by 244? 7 What is the remainder when 6056 is divided by 2403? 1250 What is the remainder when 394775 is divided by 44? 7 What is the remainder when 6713 is divided by 3333? 47 What is the remainder when 12762505 is divided by 53? 52 What is the remainder when 182997 is divided by 250? 247 Calculate the remainder when 3759 is divided by 774. 663 Calculate the remainder when 307583 is divided by 534. 533 What is the remainder when 193864 is divided by 357? 13 What is the remainder when 1786 is divided by 94? 0 What is the remainder when 138546 is divided by 76? 74 What is the remainder when 4487 is divided by 4466? 21 What is the remainder when 4929 is divided by 33? 12 Calculate the remainder when 3420 is divided by 1185. 1050 Calculate the remainder when 81865 is divided by 625. 615 Calculate the remainder when 540575 is divided by 2526. 11 Calculate the remainder when 752661 is divided by 250883. 12 Calculate the remainder when 292892 is divided by 8613. 50 Calculate the remainder when 17573122 is divided by 732. 730 Calculate the remainder when 116737 is divided by 6. 1 What is the remainder when 38375 is divided by 104? 103 Calculate the remainder when 103904 is divided by 15. 14 What is the remainder when 117259 is divided by 106? 23 What is the remainder when 14126 is divided by 706? 6 Calculate the remainder when 270322 is divided by 1790. 32 What is the remainder when 3113 is divided by 377? 97 What is the remainder when 29148 is divided by 207? 168 Calculate the remainder when 22864 is divided by 93. 79 Calculate the remainder when 2740139 is divided by 52. 51 Calculate the remainder when 190195 is divided by 63395. 10 Calculate the remainder when 5351 is divided by 328. 103 What is the remainder when 92923 is divided by 45? 43 What is the remainder when 34223 is divided by 6? 5 What is the remainder when 295406 is divided by 3? 2 What is the remainder when 4172 is divided by 2029? 114 Calculate the remainder when 20510 is divided by 2272. 62 What is the remainder when 3989 is divided by 53? 14 What is the remainder when 620686 is divided by 35? 31 What is the remainder when 148034 is divided by 37005? 14 Calculate the remainder when 596312 is divided by 223. 10 What is the remainder when 1006 is divided by 621? 385 Calculate the remainder when 89002 is divided by 63. 46 Calculate the remainder when 15125 is divided by 3008. 85 What is the remainder when 3321 is divided by 1092? 45 Calculate the remainder when 35530 is divided by 141. 139 What is the remainder when 10290 is divided by 1693? 132 Calculate the remainder when 5953 is divided by 1264. 897 What is the remainder when 20696 is divided by 163? 158 Calculate the remainder when 858700 is divided by 176. 172 Calculate the remainder when 1406 is divided by 196. 34 Calculate the remainder when 1356 is divided by 735. 621 What is the remainder when 182917 is divided by 73? 52 Calculate the remainder when 13934 is divided by 2320. 14 Calculate the remainder when 48086 is divided by 229. 225 Calculate the remainder when 36128 is divided by 602. 8 Calculate the remainder when 4403 is divided by 516. 275 What is the remainder when 11856 is divided by 136? 24 What is the remainder when 1255 is divided by 557? 141 What is the remainder when 735086 is divided by 41? 38 What is the remainder when 2482 is divided by 2064? 418 What is the remainder when 3877 is divided by 278? 263 What is the remainder when 25166 is divided by 513? 29 What is the remainder when 6766 is divided by 3361? 44 Calculate the remainder when 6830 is divided by 234. 44 Calculate the remainder when 4496 is divided by 895. 21 Calculate the remainder when 162890 is divided by 32575. 15 What is the remainder when 4636 is divided by 62? 48 What is the remainder when 718747 is divided by 41? 17 Calculate the remainder when 477 is divided by 456. 21 What is the remainder when 14075 is divided by 201? 5 What is the remainder when 35567 is divided by 17777? 13 Calculate the remainder when 6138 is divided by 609. 48 What is the remainder when 176417 is divided by 22? 21 Calculate the remainder when 106107 is divided by 264. 243 What is the remainder when 3347 is divided by 328? 67 What is the remainder when 4698 is divided by 1109? 262 Calculate the remainder when 4143 is divided by 1915. 313 Calculate the remainder when 1672058 is divided by 13. 11 What is the remainder when 82145 is divided by 160? 65 Calculate the remainder when 5098 is divided by 68. 66 Calculate the remainder when 4428 is divided by 2210. 8 Calculate the remainder when 957 is divided by 932. 25 Calculate the remainder when 65251 is divided by 932. 11 What is the remainder when 17904 is divided by 5958? 30 Calculate the remainder when 1537 is divided by 333. 205 What is the remainder when 1108623 is divided by 797? 793 Calculate the remainder when 37941 is divided by 759. 750 What is the remainder when 19024 is divided by 412? 72 What is the remainder when 425 is divided by 123? 56 Calculate the remainder when 1678946 is divided by 315. 311 Calculate the remainder when 504573 is divided by 28030. 33 Calculate the remainder when 5726 is divided by 116. 42 Calculate the remainder when 430464 is divided by 374. 364 What is the remainder when 398 is divided by 134? 130 Calculate the remainder when 501826 is divided by 820. 806 What is the remainder when 2228 is divided by 1115? 1113 Calculate the remainder when 261256 is divided by 99. 94 Calculate the remainder when 281 is divided by 22. 17 What is the remainder when 24184 is divided by 100? 84 What is the remainder when 4078 is divided by 2013? 52 Calculate the remainder when 3224 is divided by 137. 73 What is the remainder when 6597 is divided by 3298? 1 Calculate
{ "pile_set_name": "DM Mathematics" }
3 (b) -983 (c) -55 (d) -5 a Which is the nearest to -16? (a) 2/9 (b) -0.44 (c) 27 (d) -8 d Which is the closest to 1/61? (a) 2 (b) -58 (c) 7/3 (d) 25 a Which is the nearest to 0? (a) -1/57 (b) -5 (c) -4 (d) -1 (e) -303/7 a Which is the closest to -8? (a) -1/131 (b) 2/5 (c) 0.5 (d) 0.3 (e) 15 a Which is the nearest to 0.2? (a) 1/33 (b) 0.9 (c) -3 (d) -16734 (e) 1/7 e Which is the nearest to -5280/1531? (a) 4/7 (b) -7 (c) 0.2 b Which is the closest to -0.1? (a) 8 (b) 58 (c) -0.08 (d) -0.5 (e) -7 c What is the nearest to -0.1 in -1/7, -10/7, 4, -54, 0.002? -1/7 What is the nearest to 0.03 in -4/3, 4, -4245, -1/20, 0.5? -1/20 Which is the nearest to 861.5? (a) -1/15 (b) -3 (c) -3.3 (d) 0.3 d Which is the closest to 1/3? (a) 46 (b) -0.03 (c) -3233 (d) -2 b Which is the closest to -13? (a) 0.01 (b) -0.048 (c) 0.14 b What is the closest to -4 in -0.3, -17, 178, 679, 1/6? -0.3 What is the closest to -0.02 in -60/13, -3, 1533/19? -3 What is the nearest to -1 in 2, 1/3, 1631798? 1/3 What is the nearest to 1.638 in -21, 1/2, 0.1, -2.9, -0.16? 1/2 Which is the nearest to 87? (a) -0.5 (b) 1 (c) 105 (d) 0 (e) 0.4 (f) -16/9 c Which is the closest to -1? (a) 3 (b) 5 (c) -1128.8 (d) 6 (e) 0.5 e Which is the nearest to 2/3? (a) 3 (b) -314 (c) -0.325 (d) -0.5 (e) -9 c What is the closest to 0 in -240, -2, -235, 0.2, -26? 0.2 Which is the nearest to -4? (a) -5 (b) -218 (c) -201 (d) 2 (e) 15 a What is the closest to 1 in -3, -0.5, -1/1706, -190? -1/1706 What is the closest to 3 in -13.3, -5, 5, -12, 25? 5 What is the closest to 1 in -1/36, -0.15705, 15? -1/36 Which is the closest to -4001? (a) -20 (b) 0.4 (c) -1/5 a What is the closest to -1/4 in 0.5, 1/7, -0.4, 9/10, 0.8? -0.4 Which is the closest to -2? (a) 16 (b) -1 (c) 6538 (d) -2 (e) -55 d Which is the closest to 0? (a) -13290 (b) 1 (c) 108 (d) -5 b What is the nearest to -0.2 in -3, -5/4, -16, 1, -2/3, -3/887? -3/887 What is the nearest to -11 in 14/3, -2, 0.1, -7/11, 1/7? -2 Which is the closest to -1? (a) 3 (b) 0.1 (c) -0.56 (d) 3791 (e) -2/5 c Which is the closest to 0.0818? (a) 2/3 (b) 0.04 (c) -5 (d) 0.3 (e) 1 b Which is the nearest to -18? (a) 2/13 (b) 43.7 (c) -23 c What is the nearest to -5 in -0.4, -41428/5, -7? -7 Which is the nearest to -2/3? (a) 1 (b) -0.2 (c) -74 (d) 7/61 (e) -2 b What is the closest to -26.7 in 3, -3440, 0.3? 0.3 Which is the nearest to 1/2? (a) 2/9 (b) -470 (c) -1112 a Which is the nearest to -20? (a) 3.4 (b) -0.057 (c) -2/5 c What is the closest to -14/9 in 57, -95/4, -3.1, 4? -3.1 What is the closest to -1 in 3.9, -2.7, 0.1, 0.3? 0.1 Which is the closest to -2/11? (a) -0.4 (b) -10 (c) -0.3 (d) 94 (e) -2 (f) 2.25 c Which is the nearest to -1? (a) 169 (b) 856 (c) -17 (d) 1 d What is the nearest to 0 in 12, 0.06, 1663, 3, -5? 0.06 What is the nearest to 0 in 3/7, -1/70, 953/4? -1/70 Which is the closest to -2/3? (a) 0.15 (b) -0.4 (c) -9/19 (d) 83/2 (e) -3 c What is the closest to 0.08 in 0.4, -4, 1/68, -1/75? 1/68 What is the nearest to -42 in -45, 0, -0.1, -5, 7? -45 What is the nearest to 1 in -7, -871/12, -0.4, -2, -5? -0.4 What is the nearest to 1/5 in 847, 2/3, 3, -0.4, -2/43? -2/43 What is the nearest to -154 in -279/553, 4/9, 6/7? -279/553 What is the nearest to 0.137 in -2314, -1/3, 5, -0.1, 0.2? 0.2 What is the nearest to -0.22 in 0, -1/8, -48/17219? -1/8 What is the closest to -4 in 4, -4/11, 1.06, -2/53? -4/11 What is the nearest to -11.5 in 3/4, -18, 0.4, -2/75? -18 What is the closest to -3 in 4678768, -0.2, 3? -0.2 What is the nearest to 0.07 in 1883, -5, 19? -5 What is the closest to -30 in -1, -1/5, 38/17? -1 Which is the closest to -3/2? (a) 560 (b) 3 (c) 2 (d) 2/21 (e) 6/13 d What is the closest to -4/701 in -0.2, 183/2, -4, -5? -0.2 Which is the closest to 6.71? (a) 2 (b) -37 (c) 14 (d) 5 (e) -0.2 d Which is the nearest to -348? (a) -2 (b) 0.3 (c) 11 (d) 7 a What is the closest to -1 in -0.5, 11, -4/7, 243, -0.1? -4/7 What is the closest to 0.2 in -86, 2/5875, -8, -2? 2/5875 What is the closest to -0.089 in 0.2, -1, 19.6, -4/3? 0.2 What is the nearest to -21.2 in -109/3, 1, 5, 0.18? -109/3 Which is the nearest to -1? (a) 2/13 (b) 43/23 (c) -2/9 (d) -14/155 c Which is the closest to -3627? (a) 0 (b) 0.06 (c) 153 a What is the nearest to 0 in -3, 0.05, -1736, -3/2, 4? 0.05 Which is the closest to 51/5? (a) -1.2 (b) -2/129 (c) 0.3 c What is the nearest to 0.12 in -96/73, -2/3, -5, -2/11, 3/4? -2/11 What is the nearest to 1 in -0.041147, 2.82, 2/3? 2/3 Which is the nearest to 1/11? (a) 3 (b) 5.1 (c) -0.5 c Which is the nearest to 0.0118? (a) -2 (b) -18 (c) -9 (d) 117 a What is the closest to 13 in -19, 3, 2/21, -0.447, 0.4? 3 What is the closest to 0.8 in -205, -0.5, -1, 207? -0.5 What is the closest to 1/3 in 3, -0.3, 366, 0.09, -0.4? 0.09 What is the closest to -33 in 0.8, -2/23, -2127? -2/23 What is the closest to -22 in 0.4, 1/5, -2/47, -96, -3? -3 What is the closest to 2 in -16, 5, 29.4, 782? 5 Which is the closest to 2/3? (a) 1/197 (b) -0.2 (c) -90 (d) -3 (e) -9 a Which is the closest to 212? (a) -5/6 (b) -4 (c) 25 (d) -1 c What is the nearest to 1 in -6/13, -172233, 152? -6/13 Which is the closest to 1? (a) 0 (b) 5 (c) -17 (d) 8 (e) -21 (f) 4/17 f Which is the nearest to -1/2? (a) -5 (b) 0.3 (c) -0.93 (d) 13 (e) -7202 c Which is the nearest to 1/2? (a) -0.3 (b) -616.8533 (c) 0 c Which is the closest to -0.15? (a) -1 (b) -304 (c) -4 (d) -18 (e) 4 a Which is the closest to -710? (a) -3 (b) -20 (c) -5 b What is the closest to -2 in 40, 701, -7? -7 Which is the closest to 0.8? (a) 0.04 (b) -2674 (c) -2/19 (d) 6/11 d Which is the closest to -21.9? (a) -174 (b) 2/13 (c) -5 (d) 27 (e) 1/4 (f) -3 c What is the closest to 2/5 in -4/9, -15.803, 28, 0.3, 0.2? 0.3 Which is the closest to 0.022? (a) 3 (b) -0.03 (c) 0.3 (d) -1/10 (e) -0.069 b What is the nearest to 10528 in 13, -1, -0.05? 13 Which is the nearest to -1/2? (a) 108 (b) -10/7 (c) -0.3 (d) 205/17 c What is the nearest to -9/2 in -8, 2/11, -2/17, 0.3? -8 Which is the closest to -9548? (a) -3 (b) 0.8 (c) 2/5 a What is the nearest to -3/10 in -24, 3, -61, 4.7? 3 Which is the nearest to 15/26? (a) 0 (b) -0.074 (c) 5 (d) -399 (e) 4 a What is the closest to 144580 in 1/2, -5, 4, -1/5? 4 What is the closest to -1 in -27518, 11, 9, -0.1? -0.1 What is the closest to 0.09 in -2/9, -3/607, -2/3, 1/14? 1/14 What is the nearest to -35.2 in -16, 269, 2? -16 What is the nearest to 7/4 in 92, -10, 1, 21/8? 1 Which is the nearest to -8? (a) -3/7 (b) -0.5 (c) 2/7 (d) -2 (e) 2 (f) 0.0463 d Which is the nearest to 91? (a) 0 (b) 1 (c) -0.3 (d) -0.2 (e) 81/4 e Which is the closest to -2/139? (a) 148 (b) -1/26 (c) 12/11 b Which is the nearest to 2/5? (a) -4/7 (b) 1 (c) 1/2 (d) 5 (e) -1/8843 c Which is the nearest to 16.7? (a) -0.2 (b) 38 (c) -170.7 a Which is the closest to 1? (a) -4 (b) 15 (c) 15.909 (d) 1/2 (e) 2/15 d Which is the nearest to -12? (a) 10/11 (b) 12.6 (c) -3/4 (d) 8 (e) 5/3 c Which is the closest to -1? (a) -27 (b) 3/4 (c) 50.604 b Which is the nearest to -0.78? (a) 4 (b) 3/4 (c) -0.026 c What is the closest to -2/3 in 0.1127, 3, -5, -45, 0.3? 0.1127 Which is the nearest to 1? (a) 3 (b) 1/4 (c) 54 (d) -3/7 (e) -82 (f) -4.18 b What is the closest to 2 in -11/5, -0.5, 6, 5, -0.3? -0.3 Which is the nearest to 1274? (a) 18 (b) 148 (c) 2 b Which is the nearest to 0.1? (a) -10 (b) -2 (c) 96943 b Which is the nearest to -2/9? (a) -1/4 (b) 13 (c) 368 (d) -4/5 (e) -1 a What is the nearest to -1/2 in 9, -2, -107822, 7, -0.3, -3? -0.3 What is the nearest to 3/7 in -3/29, 0.04, 595, -3, -1/12, 1/6? 1/6 What is the closest to -2/7 in 4, -177, 2231? 4 Which is the nearest to 36? (a) 33/8 (b) 0.1 (c) 0.2 a Which is the closest to 1.5545? (a) 2/5 (b) 2/325 (c) -1 a Which is the nearest to 3? (a) 0.68 (b) -8/107 (c) -13 (d) -1/9 (e) -4 (f) 0.5 a What is the nearest to -38.5 in 59, -1/4, -61, 1/3? -61 Which is the closest to -3? (a) 11434 (b) 5.6 (c) -0.4 (d) -4 (e) -0.5 d What is the closest to 34/3471 in 22/3, -2, -3/7? -3/7 What is the nearest to 0 in
{ "pile_set_name": "DM Mathematics" }
mallest value in v, 4, 0.5, -1/6? v Suppose -23 = 5*d + 37. Let z be (-1966)/(-40) - d/20. Let x = 50 - z. Which is the smallest value? (a) 2 (b) -1/2 (c) x b Let p = -13.7 + 14. Let j = 7 + -7.3. Which is the third biggest value? (a) j (b) -2/3 (c) p b Let l = -13 - -12.8. What is the second smallest value in -2, -1, l? -1 Let g = -1.3 + 1. Let h = g - -0.1. Let r be 4/(-18) + (-1 - 22/(-18)). What is the third smallest value in r, h, 5? 5 Let o be 2 + (-2)/7 + -2. Let j = -0.72 + 0.22. Which is the second biggest value? (a) 2 (b) j (c) o c Let g = -14.68 + -0.32. Let l = g + 10. What is the second biggest value in -1/3, l, -2? -2 Let s = -5.5 - -9. Let v = -0.5 + s. Which is the smallest value? (a) 0 (b) v (c) -2/21 c Let m = -97.8 - -98. What is the third smallest value in -3, m, -0.2, -5? -0.2 Let y be -6*1/27*2. Let k = 0.03 + 0.97. Which is the second biggest value? (a) -0.3 (b) y (c) k a Let x(l) = -l**3 + l**2 - l - 5. Let h(y) = -y**2 + 14*y - 13. Let t be h(13). Let i be x(t). Which is the second biggest value? (a) -1/5 (b) 1 (c) i a Let b be (-2 - -1)/((-1)/(-2)). Let z = b - -1. Let o = 4 + z. What is the smallest value in 3/7, -1/4, o? -1/4 Let r(h) = -h**3 - 6*h**2 + 8*h + 7. Let f be r(-7). Let y be (-7 + 6)*f/1. Which is the second biggest value? (a) y (b) -0.04 (c) -2 b Let c be (18/(-12))/(3/(-4)). Suppose c*a = a + 5*x + 8, 2*a + 4*x - 2 = 0. What is the smallest value in a, 8, 0.1? 0.1 Let k = -125 - -125. Which is the smallest value? (a) 3 (b) -0.13 (c) k b Let p = 0 - -1. Let t be p/1 + -6 + 1. Let y be (-68)/(-18) - t/18. Which is the third smallest value? (a) 1 (b) y (c) -0.5 b Let i = 16 - 12. What is the biggest value in i, 0.5, -2/5? i Let l be (-2)/9 - 20/(-225). Which is the second smallest value? (a) l (b) -1/2 (c) 1/3 a Let p be 6/33 - (-24)/(-11). What is the fourth biggest value in 0.5, 1/5, 14, p? p Let z(v) = v**2 - 15*v + 52. Let x be z(9). Which is the second smallest value? (a) -0.4 (b) -19 (c) x c Let u = -2 - -5. Let w = -2 - -2.2. Let l = w - -0.2. What is the second biggest value in u, -5, l? l Let t = -6.8 + 7. Let k = 4867/3 - 1653. Let n = k - -31. Which is the third biggest value? (a) n (b) t (c) -5 c Let w = 56 + -36. Let j be 38/w - 4/10. Let z = 25 - 21. What is the smallest value in j, z, -4? -4 Let i = 0.2 - 3.2. Let r = -0.09 - 5.91. Let s = r - -9. What is the smallest value in 2, s, i? i Suppose -4 = -4*w + 4*k + 4, w = -3*k + 18. Let y = w - 3. Which is the smallest value? (a) y (b) -5 (c) 2/3 b Let d = -32 + 35. Let a be (1 - 1)/(-4 - -2). What is the third smallest value in d, a, -0.4? d Let u = -0.18 - 1.88. Let g = u + 2. Let f = g - -0.36. What is the third biggest value in 1/7, f, 1? 1/7 Let v = 119 + -589/5. Let x = 3/164 - 1005/1148. Which is the second smallest value? (a) v (b) -2 (c) x c Let k = 0.12 - -0.58. Let a = k - 1.7. What is the third smallest value in -2, -3, a? a Let i = 0.06 - -1.94. Let w = 49 + -52. Which is the second smallest value? (a) i (b) 3 (c) w a Let y be (-6)/(-6) + -3*1. Suppose -3*w + 2*u + 11 = -2*u, -w - 7 = 4*u. Which is the second biggest value? (a) w (b) -2/11 (c) y b Let v = 0.091 - -39.909. Let u = v + -44.06. Let a = u - -0.06. What is the smallest value in 2/9, a, -2? a Let f(m) = -m**3 - 7*m**2 + 3. Let y be f(-7). Which is the biggest value? (a) -7 (b) y (c) 1 b Let z = -5.3 + 8.3. Which is the second smallest value? (a) z (b) 0.4 (c) 22 a Let c = 4.9 + -5. Let x be ((-2)/(-5))/((-36)/(-20)). What is the biggest value in x, c, 1? 1 Let q = 67.1 - 67. Which is the third smallest value? (a) 2 (b) q (c) 1/3 (d) 3 a Let f = -72 - -45. Let p be f/(-72)*(-1)/(-3). What is the second biggest value in -0.2, -3/8, p? -0.2 Let s = -2 - -2. Let g = 68.27 + -68. Let o = 0.13 + g. Which is the biggest value? (a) s (b) o (c) -0.1 b Let f = 93 - 97. Let z = 20 - 12. Which is the biggest value? (a) -1/3 (b) z (c) f b Let r be 32/(-90) + (-10)/(-45). Let l = 2 + 2. Which is the smallest value? (a) -2 (b) l (c) r a Let f = -0.47 - 0.03. Suppose -g = 2 - 6. Which is the smallest value? (a) f (b) g (c) 1/3 a Let y = 1.4 + 2.6. Which is the smallest value? (a) y (b) -5 (c) -0.3 b Let l = 21 + 6. Let n be ((-6)/l)/(2/1). Which is the smallest value? (a) n (b) 2 (c) -1 c Let s = -51 - -30. What is the biggest value in s, -4, 0? 0 Let k = -1.19 + 0.19. What is the third smallest value in -0.3, k, 3? 3 Let q = -2/227 + 235/908. Let g(s) = s**2 + 6*s. Let h be g(-6). Suppose 0 = -d + 4*d + 12. Which is the second smallest value? (a) d (b) h (c) q b Let l(x) = x**2 - 9*x + 9. Let j be l(8). Let y = 0.017 + -5.017. Let z = 7.7 + -8. What is the third smallest value in j, y, z? j Let i = 213.96 - 209. Let u = 1 - 0.96. Let k = i + u. Which is the biggest value? (a) -2/3 (b) 0.4 (c) k c Suppose 50 = -20*z + 25*z. What is the second smallest value in 3, z, -5? 3 Let l = 1.9 + -1.88. Let n = l + 0.18. Which is the third biggest value? (a) -1/3 (b) n (c) 4 a Let w = -4809211/104 - -46243. Let y be (-4)/6 - (-8)/39. Let f = w + y. Which is the biggest value? (a) f (b) 0.3 (c) 1 c Let j = 8.8 + 7.2. What is the biggest value in 1, j, -4/7? j Let x = 31 + -43. Let w = -10 - x. Which is the smallest value? (a) w (b) 5/6 (c) -1/6 c Let t = -0.04 - 1.96. Let q = t + 5. Let r = 2.6 - q. Which is the smallest value? (a) -0.5 (b) r (c) -2 c Let n = -34 + 33.8. What is the biggest value in 0.2, n, 0.06, -2/11? 0.2 Let d = -2 + 5/2. Let x = 24 + -26. What is the third biggest value in x, d, 1? x Let o = 0.02 + -0.08. Let s = o - -0.03. Let l = -0.03 - s. What is the second biggest value in l, 0.1, -3? l Let z = -22 + 22.7. What is the second smallest value in z, 0.3, -0.4? 0.3 Let l = 79 - 81. Which is the second biggest value? (a) l (b) -5 (c) 0 (d) -1/3 d Let n = -25 + 26. Which is the third biggest value? (a) 5 (b) 0 (c) n b Let v = -18 + 14. Let f = 0 + 0.1. Let d = -1/16 - 3/16. Which is the second biggest value? (a) f (b) v (c) d c Let i = 0.12 + -0.42. Let u = 7 + -13. Let j = u - -6.1. Which is the third smallest value? (a) i (b) 3 (c) j b Suppose -y = -2*y + 4. Suppose 8 + y = 3*a. What is the third biggest value in a, -1/8, -0.2? -0.2 Let n = -0.05 - 4.95. Let y = -0.9 + 0.8. Which is the second biggest value? (a) y (b) 5 (c) n a Let x = -51 + 50.04. Let j = 11 + -10.96. Let r = x - j. What is the third biggest value in 3, 5, r? r Let w = -0.04 - 2.96. Let u = -796/7 - -114. Which is the second smallest value? (a) u (b) -2 (c) w b Suppose 2*h = 3*h - 5. Let o be -3 - (2 - h/2). Which is the third biggest value? (a) o (b) 1 (c) 4 a Let s = -43 + 37. Which is the second smallest value? (a) 1 (b) 4 (c) s a Let i = 9 - 8.8. Let h = -2.2 + 2. Let j = -0.3 + h. Which is the smallest value? (a) 5 (b) j (c) i b Let v = 3.3 - 3.2. Which is the fourth smallest value? (a) 0.5 (b) v (c) -2/9 (d) 1 d Let x = 0.52 - 0.12. Let c be 2 - (1 + (-9)/(-7)). What is the smallest value in x, c, -1? -1 Let r = 2 - 4. Let z = -3 - -3.4. Let k = z - 0.2. What is the second smallest value in k, r, -0.4? -0.4 Let j be -2*(-15)/(-20)*-2. Let f = 7 - 12. What is the third biggest value in -7, j, f? -7 Let s = 16 - 16.4. Which is the second biggest value? (a) 0.5 (b) s (c) 0.3 c Let s = -4 + 3. Let l(g) = -g - 16. Let x be l(-11). What is the smallest value in x, s, 2? x Let k = -17 - -11. Suppose -5*y - 3*p + 9 = 0, 2*p = -5*y - 2*p + 12. What is the smallest value in k, y, -5? k Let m be 2/(-5) - 152/(-355). Let x = 148/213 - m. Let q = -0.21 + 0.31. Which is the second smallest value? (a) x (b) q (c) 0.3 c Let w be (0/(2 - -1))/(-2). Suppose 3*g - l - 3*l + 1 = w, -4*l = 8. Which is the second smallest value? (a) g (b) 5 (c) 3 c Let k = -6.3 - -6. Let w = -0.06 + 0.36. Let b = 0.4 - w. What is the biggest value in k, -0.2, b? b Let p = -8 - -5. Let g = -54 - -58. What is the second smallest value in 1, g, p? 1 Let l = 14 + -17. What is the smallest value in 0.5, l, -0.06? l Let m = -1.4 - -1.6. What is the biggest value in m, -0.5, -0.8? m Let w = 2.5 + -3. Let b = 18 + -13. What is the third biggest value in b, 0.5, w? w Let m be -1*(-5)/(15/(-9)). Let l = -0.05 + -
{ "pile_set_name": "DM Mathematics" }
What is the o'th term of 148, 551, 1222, 2161, 3368? 134*o**2 + o + 13 What is the h'th term of -360, -1435, -3226, -5733, -8956, -12895? -358*h**2 - h - 1 What is the s'th term of 25, 20, 3, -32, -91, -180? -s**3 + 2*s + 24 What is the u'th term of 23, 58, 151, 332, 631, 1078? 5*u**3 - u**2 + 3*u + 16 What is the r'th term of 1297, 2598, 3899, 5200? 1301*r - 4 What is the g'th term of -268, -501, -724, -931, -1116, -1273, -1396? g**3 - g**2 - 237*g - 31 What is the q'th term of -121, -117, -113, -109? 4*q - 125 What is the f'th term of 306, 649, 994, 1341, 1690? f**2 + 340*f - 35 What is the f'th term of 53, 96, 137, 176, 213? -f**2 + 46*f + 8 What is the w'th term of 2974, 2971, 2966, 2959, 2950? -w**2 + 2975 What is the m'th term of 1, 5, 11, 19, 29, 41? m**2 + m - 1 What is the j'th term of -65, -271, -667, -1295, -2197, -3415, -4991? -7*j**3 - 53*j**2 + 2*j - 7 What is the v'th term of -537, -1074, -1621, -2184, -2769? -v**3 + v**2 - 533*v - 4 What is the b'th term of 55, 60, 67, 76? b**2 + 2*b + 52 What is the m'th term of -9, -13, -17? -4*m - 5 What is the a'th term of -1599, -3199, -4799, -6399, -7999? -1600*a + 1 What is the g'th term of 658, 657, 656? -g + 659 What is the d'th term of -5168, -5158, -5134, -5090, -5020, -4918, -4778? d**3 + d**2 - 5170 What is the l'th term of 385, 382, 379, 376, 373, 370? -3*l + 388 What is the x'th term of 74, 150, 226, 302, 378, 454? 76*x - 2 What is the v'th term of 2, 8, 14, 20, 26? 6*v - 4 What is the f'th term of -764, -766, -768, -770, -772, -774? -2*f - 762 What is the t'th term of -6, 7, 20, 27, 22? -t**3 + 6*t**2 + 2*t - 13 What is the o'th term of -718, -720, -722? -2*o - 716 What is the n'th term of -892, -891, -888, -883? n**2 - 2*n - 891 What is the c'th term of -1096, -2197, -3298? -1101*c + 5 What is the s'th term of 72, 29, -14, -57? -43*s + 115 What is the a'th term of 61, 119, 215, 349? 19*a**2 + a + 41 What is the s'th term of -186, -182, -178, -174? 4*s - 190 What is the g'th term of 14, 23, 14, -19, -82, -181, -322, -511? -g**3 - 3*g**2 + 25*g - 7 What is the p'th term of -269, -278, -297, -326, -365, -414? -5*p**2 + 6*p - 270 What is the l'th term of 95, 185, 287, 407, 551, 725? l**3 + 83*l + 11 What is the l'th term of 39, 48, 31, -6, -57, -116? l**3 - 19*l**2 + 59*l - 2 What is the r'th term of -28, -25, -22? 3*r - 31 What is the u'th term of -33, -153, -353, -633, -993? -40*u**2 + 7 What is the x'th term of 19, 49, 81, 115? x**2 + 27*x - 9 What is the l'th term of 632, 1254, 1874, 2492? -l**2 + 625*l + 8 What is the w'th term of 14, -5, -72, -211, -446? -4*w**3 + 9*w + 9 What is the y'th term of -25, -54, -83, -106, -117, -110, -79, -18? y**3 - 6*y**2 - 18*y - 2 What is the n'th term of -6899, -6896, -6881, -6848, -6791, -6704, -6581, -6416? n**3 - 4*n - 6896 What is the m'th term of -196, -235, -288, -361, -460, -591, -760, -973? -m**3 - m**2 - 29*m - 165 What is the y'th term of -14, -15, -14, -11, -6, 1, 10? y**2 - 4*y - 11 What is the i'th term of -27, -37, -53, -75? -3*i**2 - i - 23 What is the t'th term of -19, -111, -279, -535, -891, -1359, -1951? -2*t**3 - 26*t**2 + 9 What is the p'th term of -24, -41, -58, -75? -17*p - 7 What is the k'th term of -6, -8, -12, -18, -26? -k**2 + k - 6 What is the a'th term of 15, 25, 35? 10*a + 5 What is the r'th term of 41, 46, 55, 68, 85, 106? 2*r**2 - r + 40 What is the s'th term of -126, -244, -362, -480? -118*s - 8 What is the f'th term of 405, 395, 373, 333, 269, 175, 45, -127? -f**3 - 3*f + 409 What is the p'th term of -33, -39, -33, -9, 39, 117, 231? p**3 - 13*p - 21 What is the k'th term of 1098, 1093, 1086, 1077, 1066, 1053? -k**2 - 2*k + 1101 What is the w'th term of -30, -41, -52, -63, -74, -85? -11*w - 19 What is the m'th term of -15, -17, 1, 51, 145? 2*m**3 - 2*m**2 - 10*m - 5 What is the v'th term of -36, -54, -84, -126, -180, -246, -324? -6*v**2 - 30 What is the o'th term of -567, -549, -519, -477, -423, -357? 6*o**2 - 573 What is the j'th term of -42, -80, -156, -282, -470, -732? -2*j**3 - 7*j**2 - 3*j - 30 What is the z'th term of 2795, 2794, 2791, 2786? -z**2 + 2*z + 2794 What is the x'th term of 132, 628, 1446, 2580, 4024, 5772, 7818, 10156? -x**3 + 167*x**2 + 2*x - 36 What is the b'th term of 182, 366, 550, 734? 184*b - 2 What is the c'th term of 8, 15, 24, 35, 48? c**2 + 4*c + 3 What is the b'th term of -92, -91, -90, -89? b - 93 What is the l'th term of 1437, 1438, 1439, 1440, 1441, 1442? l + 1436 What is the f'th term of 128, 255, 382, 509? 127*f + 1 What is the y'th term of 20915, 20915, 20913, 20909, 20903? -y**2 + 3*y + 20913 What is the l'th term of -1241, -1242, -1239, -1232, -1221? 2*l**2 - 7*l - 1236 What is the n'th term of 49, 37, 9, -41, -119? -n**3 - 2*n**2 + n + 51 What is the p'th term of -97, -191, -285, -379? -94*p - 3 What is the k'th term of 96, 169, 222, 243, 220? -2*k**3 + 2*k**2 + 81*k + 15 What is the g'th term of -38, -79, -120, -161, -202, -243? -41*g + 3 What is the a'th term of -16, -24, -32, -40, -48? -8*a - 8 What is the k'th term of 920, 910, 886, 842, 772, 670, 530, 346? -k**3 - k**2 + 922 What is the d'th term of -55, -78, -91, -88, -63? d**3 - d**2 - 27*d - 28 What is the l'th term of 182, 365, 562, 779, 1022? l**3 + l**2 + 173*l + 7 What is the m'th term of -89, -210, -379, -620, -957, -1414, -2015, -2784? -4*m**3 - 93*m + 8 What is the o'th term of 10948, 10950, 10952, 10954, 10956, 10958? 2*o + 10946 What is the s'th term of -1735, -1734, -1733, -1732, -1731? s - 1736 What is the r'th term of -2, -15, -30, -47? -r**2 - 10*r + 9 What is the x'th term of 168, 347, 540, 753, 992, 1263, 1572? x**3 + x**2 + 169*x - 3 What is the o'th term of -85, -87, -89, -91? -2*o - 83 What is the g'th term of 4, -14, -48, -104, -188? -g**3 - 2*g**2 - 5*g + 12 What is the n'th term of -535, -2164, -4873, -8656, -13507, -19420, -26389, -34408? n**3 - 546*n**2 + 2*n + 8 What is the d'th term of 137, 1058, 3553, 8408, 16409, 28342, 44993, 67148? 131*d**3 + d**2 + d + 4 What is the f'th term of 220, 217, 206, 181, 136, 65, -38? -f**3 + 2*f**2 - 2*f + 221 What is the j'th term of -122, -467, -1050, -1877, -2954, -4287, -5882, -7745? -j**3 - 113*j**2 + j - 9 What is the p'th term of 342, 1363, 3066, 5451, 8518, 12267? 341*p**2 - 2*p + 3 What is the b'th term of 86, 93, 114, 155, 222, 321, 458, 639? b**3 + b**2 - 3*b + 87 What is the c'th term of 18, 11, -20, -87, -202? -2*c**3 + 7*c + 13 What is the f'th term of -1563, -1562, -1561? f - 1564 What is the q'th term of 45, 56, 59, 48, 17? -q**3 + 2*q**2 + 12*q + 32 What is the d'th term of -73, -143, -213? -70*d - 3 What is the d'th term of 188, 230, 272? 42*d + 146 What is the l'th term of -23, -20, -15, -8, 1, 12? l**2 - 24 What is the s'th term of -32, -137, -320, -587, -944, -1397, -1952? -s**3 - 33*s**2 + s + 1 What is the r'th term of -677, -671, -653, -617, -557? r**3 - r - 677 What is the s'th term of 20, 141, 350, 653, 1056, 1565? s**3 + 38*s**2 - 19 What is the l'th term of -52, -49, -44, -37, -28, -17? l**2 - 53 What is the i'th term of 7, -1, -19, -53, -109, -193? -i**3 + i**2 - 4*i + 11 What is the g'th term of 59, 362, 1171, 2738, 5315, 9154, 14507, 21626? 42*g**3 + g**2 + 6*g + 10 What is the m'th term of -29, -3, 23, 49, 75, 101? 26*m - 55 What is the q'th term of -10, -23, -40, -61, -86, -115, -148? -2*q**2 - 7*q - 1 What is the j'th term of 41, -4, -49, -94? -45*j + 86 What is the a'th term of -339, -332, -313, -276, -215? a**3 - 340 What is the x'th term of 4288, 4280, 4258, 4216, 4148, 4048, 3910, 3728? -x**3 - x**2 + 2*x + 4288 What is the r'th term of -53, -135, -217, -299? -82*r + 29 What is the b'th term of -9, -8, -7? b - 10 What is the u'th term of 147, 107, 67, 27, -13, -53? -40*u + 187 What is the j'th term of 0, 10, 26, 48, 76, 110, 150? 3*j**2 + j - 4 What is the d'th term of -700, -722, -732, -724, -692, -630, -532? d**3 - 29*d - 672 What is the z'th term of 646, 643, 644, 655, 682? z**3 - 4*z**2 + 2*z + 647 What is the n'th term of -10, -19, -26, -25, -10, 25? n**3 - 5*n**2 - n - 5 What is the b'th term of 681, 684, 687? 3*b + 678 What is the f'th term of 1, 6, 7, -2, -27, -74, -149? -f**3 + 4*f**2 - 2 What is the f'th term of -36, -165, -476, -1059, -2004? -15*f**3 - f**2 - 21*f + 1 What is the v'th term of -78, -148, -
{ "pile_set_name": "DM Mathematics" }
2*q + u = q, 4 = -2*q for w. 4 Suppose -m + 4 = 1. Solve 23 = -m*u + 4*c, -c - c = 5*u + 21 for u. -5 Suppose 0 = -0*f + f - p - 68, -p = 0. Let t = f + -46. Solve -4*j = 2*y - t, -4*j + 20 - 1 = y for y. 3 Let f(s) = s**3 + 3*s**2 - 7*s - 6. Let h be f(-4). Let n = 3 - h. Let c = 10 + n. Solve -5*r = -c*p + 2*p - 15, -5*r = 3*p + 17 for p. -4 Let d(a) = -a**2 - 3*a - 1. Let k be d(-2). Let p be 66*(4/3 - k). Suppose -2*s = -s - p. Solve -4*x + s = -3*b, 4*x = 5*b + 15 + 11 for b. -2 Let l be ((-2)/5)/(1/10). Let p be 0/(l + 0) - -18. Solve v + v + 2 = -5*q, 5*q - 2*v = -p for q. -2 Let b be (-5)/(-2)*(0 - 2). Let s be 65/4 - b/(-20). Solve 0 = -j + 3*p - 1, 5*j + 6 + s = -2*p for j. -4 Let z(u) = -u**2 + 4*u + 2. Let y be z(4). Let o(i) = 3*i**2 + 12*i + 4. Let q be o(-4). Solve -y*k = -0*k - j, q*j = -2*k for k. 0 Suppose 0 = -2*j + 4*o + 11 - 39, 0 = -3*j - 3*o - 6. Let l = j - -9. Suppose -7 = -l*r - 1. Solve -5*z - 23 = r*s, -s - 13 = s + 3*z for s. 1 Let x = -4 - 3. Let l(s) = s + 9. Let b be l(x). Solve -b*k + 2*y + 4 = 0, -2*k + 0*k + 6 = -3*y for k. 0 Let i(m) = m**3 - 5*m**2 + 2*m - 5. Let y be i(5). Solve 2*o - y*o = 3*l - 24, 3*o - 29 = -4*l for o. 3 Let z be (2/3)/((-6)/(-45)). Let t = -5 + z. Let y be 3 - (1 + t - 2). Solve p + 0*p + 5*k = 20, y*k - 7 = p for p. 5 Suppose -t - 2*f = -2*t + 2, -4*t = f - 35. Let o = t + -5. Solve 18 = o*z + z + 2*p, 8 = 3*z - 4*p for z. 4 Let l = 2 - -2. Suppose -4*i + 13 = -a, -l*a - 4*i + 16 = -3*i. Let b be 0/(-2)*(-1)/a. Solve -w - n + 4*n = b, -2*w - 3*n = 9 for w. -3 Let l = -93 - -97. Solve -5*m = l*k - 6*k + 18, -m - 8 = 4*k for m. -4 Suppose 5*k - 2*k = 9. Suppose 0 = c + k - 5. Solve c*s = -d - 5, -s - d - 7 = d for s. -1 Let x(r) = -r**3 - 5*r**2 - 3*r - 1. Let s be x(-5). Let f = -3 + s. Solve -z - 3 = 0, 2*l + 0*z + z + f = 0 for l. -4 Suppose -q + 20 = 3*q. Suppose f = 3*c - 14, -5*c - 4*f + 11 = -1. Suppose c*k = 5*l - 10*l + 31, -7 = -5*l + 2*k. Solve r + 9 = m + l, -q*r - 2*m = 23 for r. -5 Let l be -2 + 3 + -5 + (-76)/(-4). Solve -4*o + o - d = l, -5*o + 5*d - 5 = 0 for o. -4 Suppose 4*j + j = 4*l - 18, 5*j = -l - 8. Let z = 177 + -172. Solve z*i = l*i + o + 6, -2*i = -o - 4 for i. 2 Suppose 21 = -6*b + 5*b. Let o be (b/(-3) + -2)/1. Solve -2*p = o*c + 35 - 4, -p - c - 8 = 0 for p. -3 Let m = 7 - 14. Let n = m - -10. Solve 5*s - 22 = -n*u - 5, 8 = u + 4*s for u. 4 Let m be 1/(2/(-40)*-2). Let r be (18/10)/(3/m). Solve -10 = -5*y + 5*i, -r*y - 2*i + 24 = -y for y. 4 Suppose 0 = b + t, -t - 3 = -2*b - 2*t. Let o = -39 - -41. Solve -n - q + o = -1, 0 = n + b*q - 5 for n. 2 Let t = 7 + -9. Let j = 2 - t. Solve 2*w = -j*q - 10, -3*w + 15 = -3*q - 6*w for q. 0 Suppose 2*x = -0*x + 8, 3*q = 4*x - 10. Let k be (-3*1)/((-9)/12). Suppose 3*d + 0*d + 4 = 2*j, d + k*j - 22 = 0. Solve -a - 1 = f - d, q*f - 4*a = -28 for f. -4 Let x(v) = 2*v + 47. Let k be x(-21). Solve -2*q - k = -3*p - 0*q, 0 = 2*p - 2*q - 2 for p. 3 Let v(x) = -x**2 + 6*x - 1. Let d be v(6). Let k = 7 - d. Solve -3*j - 3*s - 7 = -4, -4*j - k = 2*s for j. -3 Let o = 19 + -8. Suppose -2*v = -5*f + o, -2*v = 4 + 2. Let l be (-1)/(-5) - (-9)/5. Solve -j = -2*j + 2, -3*p - f = -l*j for p. 1 Let v be 3 - (2 - -1) - -5. Suppose 3*m - 5*m = c - 4, v*m + 3*c = 9. Solve 3*u + 2*t - 16 = 6, 5*u - m*t = 5 for u. 4 Let z(d) = -d**2 + 2*d. Let v be z(1). Suppose v = 3*l - 8. Solve -m - l*m - h - 8 = 0, 4*h - 16 = 0 for m. -3 Let c be (-3)/9 - (-86)/6. Let y = c + 16. Solve -5*v + y = -q + 5, 2*q = 0 for v. 5 Suppose 6*h = h + 75. Let f = h + -11. Solve f*n + 16 = 0, u + 5*n + 5 = -11 for u. 4 Let z be (-7 + 3 - -4) + 0 + 4. Let u = -43 - -69. Let h = u - 9. Solve -h = -3*d + 4*o, -z*o - 26 = d + o for d. -1 Let d(s) = s**3 + 13*s**2 - 15*s + 14. Let c be d(-14). Solve -h = -10*p + 5*p, -5*h - 3*p - c = 0 for h. -5 Suppose 0 = -8*r + 43 - 11. Solve r = -2*k - c, 3*c - c = -2*k - 2 for k. -3 Let s = 3 + -13. Let m = s + 20. Solve 0 = -4*x - 5*f - 25, 2*x = 4*f - m + 4 for x. -5 Suppose -17 = -4*g + c, -2*g - 5 = -2*c - 3*c. Suppose -2*f + 15 = f. Suppose 0 = 2*m - 3 - 3. Solve f*p - 3*d + 3 = p, -m*p - g*d = -34 for p. 3 Let c be 0*1/1*(-7 - -6). Solve c = -v - 2*i - 9, 3*v + i = 3*i - 11 for v. -5 Let m = -8 - -6. Let y be (m - 69/3) + -1. Let q be 0 - y - (4 + -2). Solve -2*o - 4*p - q = 2*o, 3*o - p = -14 for o. -5 Let w = 2 + 0. Suppose 0*l - 19 = -w*l - 3*p, -11 = -3*l - p. Solve -f - 11 = l*j, 11 = -f - 3*j - 4 for f. -3 Let b = -24 + 40. Solve 0*n = -r + 2*n + 2, 5*r - 4*n = b for r. 4 Suppose 0 = a + a - 8. Let s = a + 0. Let b = 7 - -8. Solve s*f - 3*w = 2*f + b, 2*f - 5 = w for f. 0 Let o = 1 + 2. Suppose 4 = o*j - 2. Let i be 8/3*3/j. Solve -6 = -i*b - k + 5, -5*b - 4*k = -22 for b. 2 Let t(s) = s**3 - s**2 + s - 1. Let d be t(2). Solve d*h + 3*a + 2 = -4, -3*h - 24 = -5*a for h. -3 Let a be (-2)/13 + 123/39. Solve -3*v = 4*l - 0*l, -a*v = 3*l + 3 for l. 3 Let v = -21 - -15. Let s be 15/v*12/(-15). Suppose 0 = -0*k - 2*k + 6. Solve -4*h = -s*o - o - 4, 2*h = -k*o + 2 for h. 1 Let f(n) = -n**2 + 10*n - 17. Let d be f(7). Solve -11 = i + q - d*q, 4*q = -4*i + 36 for i. 4 Suppose -1 - 1 = -5*g + c, -2*g - c = 2. Let z be 60/(-3) - (-2)/1. Let i = -12 - z. Solve -i = -s + p, 3*s + 3*p = -g*p - 12 for s. 1 Suppose -255 = -20*h - 31*h. Let q be (-7 + 1)/(3/(-2)). Solve -h*l + q*k = -3*l - 14, 3*k = -2*l - 21 for l. -3 Suppose -5*x = -6*x + 4. Suppose -4*u = z - 5, -5*u + x*u - 10 = -2*z. Solve -z*s = -2*n + 23, -3 = 4*s + 2*n + 19 for s. -5 Let v = 133 + -129. Solve 0*p + p = -3, 5*a - 12 = v*p for a. 0 Suppose 2*i - 5 - 1 = 2*f, 4*f = -2*i - 6. Let l be i*-1 - (-3 - -7). Let d = l - -9. Solve -2*j - 2*t + 4 = 0, -j + 5*t = d*j for j. 1 Let c be (-8)/16 - 38/4. Let v = c + 22. Solve 2*x = 4*u - v, -3*u + 4*u = 5*x + 12 for u. 2 Suppose -v - 20 = -3*v. Let z = v + -6. Suppose 2*o + x - z = -1, 4*o + 9 = -5*x. Solve 3*i = -12, 3*r + o*i - 1 = -2 for r. 5 Suppose -224 = -11*w + 51. Let l be 1/3 + 8/3. Suppose 2*h + 16 = -2*k + 7*k, 0 = 2*k - 4*h. Solve k = 4*i, l*c + 2*c + 5*i - w = 0 for c. 4 Let c = 1 + -6. Let q = -2 - c. Suppose -3*a = -5*k + q*k + 82, -3*a = 12. Solve u + 5*o = 6*u - k, -5*u - 15 = 5*o for u. 2 Let z(d) = 7*d + 4 + 0 + 4 - d**2 + 0. Let p be z(8). Solve 4*t = -p*u + 2*u - 6, t + 4 = -2*u for u. -1 Suppose 0 = 5*w - 0*w - 15. Solve -8 = -4*g, 2*t + g = w*g for t. 2 Let d(r) = -r + 24. Let x be d(0). Let i = x - 13. Solve 13 - 5 = 2*q - 2*n, -i = q + 2*n for q. -1 Let n = 25 - 20. Let x = -17 - -38. Solve -n*o + 2*d = 6*d + x, 0 = -d - 4 for o. -1 Let o = -9 - -13. Suppose o + 0 = b. Solve -j = -b*f - 9, -3*f = -0*f + 6 for j. 1 Let c = -8 - -20. Suppose -t = -2*f + 3, -5*f = -2*t - c + 2. Solve 10 = -3*x + 5*i + 50, f*x = -5*i - 5 for x. 5 Let j be (20/8 - 2)*0. Solve -3*z - 21 = -5*d, j*z + 16 = -5*z + 2*d for z. -2 Let n(t) = 0 - t - 3*t**3 - 4*t - 3 - 5*t**2 + 4*t**3. Let z be n(6). Solve 0 = -0*s + 2*s + 3*a - 8, -12 = -z*s - 3*a for s. 4 Let t(z) = z**2 - 2 - 4 - 2*z + 2. Let c be t(7). Solve c = 5*f - 3*g - 0*g, -4*g = -2*f + 18 for f. 5 Let j be -2 + (-1*5)/(-1). Let h be 3*20/18*j. Let p(k) = -7*k - 3. Let g be p(-4). Solve -5*x - g = 0, 2*b - 2*x = b + h for b. 0 Let k(l) = -l**2 + 13*l - 4. Let s be k(10). Solve -3*b - s = -4*o - 0*b, -28 = -4*o + 4*b for o. 5 Let n(h) = h - 5. Let z be n(10). Solve 45 = -z*f + f + 5*c, -2*c = 2*f for f. -5 Suppose -4*k = k. Solve k = 5*m - 5*c, -3*c - 2*c + 5 = 0 for m. 1 Suppose -9*f + 20 = -4*f. Solve -4 = -m - m - b, f*b - 3 = 5*m for m. 1 Let w be (-14)/(-2) + -6 + 4. Solve 2*i - i + 11 = -w*v, 4*i = 2*v for i. -1 Let f = 210 - 205. Solve -3*n = f*p + 13, 2*n - 3*p = -p + 18 for n. 4 Suppose -7*h + 2*h + 40 = 0. Suppose y + z = -3, 0*y + y + h = -2*z. Solve -d - 3 = 2*a + a, 2*a = 4*d - y for d. 0 Let z(p) = -p + 5. Let d be z(0). Let q(t) = -4 - 4*t + 0 + 2 + t**2 + t. Let s be q(4). Solve -3 = s*i - i + u, 0 = -i - 5*u + d for i. -5 Let u(n) = -2*n + n + 6 + 2*n. Let r be u(-6). Let h(f) = 2*f**3 - 4*f**2 + 3*f - 1. Let o be h(2). Solve r = o*k - 4*w + 12, -2*k + 9 = 3*k + 3*w for k. 0 Let d(o) be the third derivative of o**6/120 + 3*o**5/20 - o**4/24 - o**3 - 3*o**2. Let b be d(-9). Solve -3 = -0*x + x + 2*j, -12 = b*j for x. 5 Suppose 4*m - z = 8, 3*m - 7*m -
{ "pile_set_name": "DM Mathematics" }
0.5, 1/6? b Let t = 1593/5 - 319. Which is the nearest to t? (a) 8 (b) -1/12 (c) 2 b Let n = -0.016 - 21.984. Let v = n - -25. What is the nearest to -1/5 in 0.2, 0.4, v? 0.2 Let v be (-12)/54 - (-1045)/18. Let q = v + -57. What is the closest to 0.1 in -2/5, 1/6, q? 1/6 Let n be (2 - -3) + -6*5/(-6). What is the closest to 1 in -5, 1/7, n, -1/5? 1/7 Let x(r) = r**2 - 7*r + 10. Let j be x(4). Let u be ((-24)/(-63))/(j/3). Which is the nearest to -1? (a) -5 (b) u (c) -2 b Let p = 231 - 226. Let u = 0.1 - 0.1. What is the closest to 2 in u, p, -5? u Let z = 596 - 1787/3. What is the closest to 0 in -0.16, z, 4? -0.16 Let x = 2.61 - 2.71. Let s = -19.1 - -18. Let t = -0.1 - s. Which is the nearest to x? (a) 3/5 (b) t (c) -0.5 c Let m = -1 + 1. Let n be 8/14 - (8 - (-10086)/(-1435)). What is the nearest to 2 in 2, n, m? 2 Let x = 3.02 - 0.02. Let t = 4/109 - 448/327. Which is the nearest to 2/7? (a) -0.4 (b) x (c) t a Let z be 6/1 + 0 + -3. Let b = -3 - z. Let h be b/(-21) + 6/(-21). What is the closest to h in -3, 5, 0? 0 Let r = 128 + -126. Let m = 61.96 + -61. Let y = m + 0.04. Which is the closest to 0? (a) 3 (b) r (c) y c Let s = -1020491153/372544 - -1/372544. Let f = -2755 - s. Let w = 16 + f. What is the closest to w in 2/15, -1/2, 1/7? 1/7 Let a = -111.6 + 111.3. Let b = 0 + 0.2. What is the nearest to b in a, 0.032, -3? 0.032 Let j be 2854/(-8) - 1 - (-10)/(-40). Let o = 6804/19 + j. Which is the closest to o? (a) 5 (b) 1 (c) 0.1 c Let q = 0.04 - 3.04. Let k = -1 + q. Let v be (-35)/21*(-2)/5. Which is the nearest to v? (a) -1/4 (b) k (c) -3 a Let b be (-441)/(-70) - 6 - 2/4. Let u = -0.02 + -0.28. Let m = 0.2 - u. What is the nearest to -1 in 1, b, m? b Let k = 2.795 + -2.995. Let y be (-42)/(-104) + 4/(-16). Which is the closest to k? (a) y (b) 2/9 (c) -0.1 c Let z = 50.5 + -51. What is the closest to 38 in 0.3, z, -0.2? 0.3 Suppose 0 = -5*h - 4*g + 51 - 1, 2*g = -2*h + 22. Suppose h = -d + 1. Which is the closest to 0.1? (a) 3 (b) 0.1 (c) d b Let u = -40/7 - -186/35. Let x(y) = -y**2 - 10*y + 9. Let t be x(-7). Let d = -28 + t. What is the nearest to u in 1/9, -2, d? 1/9 Let n = 0.6 - 0.7. Suppose 3*f - 34 = -28. Which is the nearest to n? (a) f (b) -2 (c) 0.2 c Let z = 31.01 + -31. Let l = 3.27 + -0.27. Let i = 35 + -139/4. Which is the closest to i? (a) 5 (b) z (c) l b Let h = 7 - 2. Let n = 0.03 - 1.03. Let s = n + 3. What is the nearest to -2 in 3/7, s, h? 3/7 Let c = 19/1690 + 15/169. What is the closest to -1/2 in c, -1/8, 6/35? -1/8 Let n = -190 - -191. Which is the closest to 5? (a) 2/13 (b) n (c) -3 b Suppose -7*t + 8 = -3*t. Suppose -t*y - 8 = 2. Let z = -14 + 10. What is the closest to 0.1 in z, y, -0.4? -0.4 Let s = -596 - -2986/5. Which is the closest to -4? (a) -3 (b) 0 (c) s a Let x be (-3 - 1)/(-2 - -3). Let q = -97/88 + 855/616. Which is the closest to q? (a) 0 (b) -1 (c) x a Let k = 169 - 164. Which is the nearest to -34? (a) k (b) -1/6 (c) -0.5 (d) -0.4 c Let q = -5 + 10. What is the closest to q in -5, 0, 3, 6? 6 Let m = -9/160 - -373/12320. Which is the nearest to -1? (a) -2/15 (b) m (c) 0.3 (d) 2 a Suppose 5*l + 4*r - 20 = -r, 3*l - 3*r - 36 = 0. Suppose 0 = -i - 4 + l. What is the closest to -0.1 in -3, i, -1/5? -1/5 Let m = 856/2947 + -2/421. Let r be (-7)/14 - 13/(-18). What is the nearest to m in -0.1, 0, r? r Let a = -67 + 70. Suppose 5*g - 3*i + 27 = 0, 6*i = a*i + 12. Let s(r) = -r**3 - 3*r**2 + 4*r - 4. Let f be s(-4). What is the nearest to -1 in 3, g, f? g Let y = -224 + 224.8. Let k = -5 - -10. What is the nearest to 2 in -3, k, y? y Let w = 114/11 + -217/22. Which is the nearest to 0? (a) w (b) -0.1 (c) 5 (d) -0.09 d Let i be (-4)/(-10)*1*-10. Let l = 75 - 78. Which is the closest to 0.1? (a) i (b) l (c) 0 c Let i = 562 + -561.6. Let z = 2 + 3. Let c = 541/7 - 77. What is the nearest to -2/3 in i, z, c? c Let g be ((-3)/(-14))/(36/(-42)). Which is the nearest to 0? (a) 5 (b) 0.1 (c) g b Let w = -29.942 + -0.058. Let m = 28 + w. Let g = -4.9 - -0.9. Which is the closest to -1/4? (a) 3/4 (b) g (c) m a Let w = -5 - -8. Which is the nearest to w? (a) -2/9 (b) -1 (c) 6/13 c Let p = 1046.9 - 1047. What is the closest to -7/5 in 2/3, 0.2, p? p Let k = -2281 - -2279. Which is the closest to 0? (a) -0.03 (b) -1 (c) -7 (d) k a Let n = 0.3 - 0.4. Let h be ((-20)/60)/(-2 + 1)*1. Which is the closest to n? (a) h (b) -5 (c) 0 c Suppose 2*b - 10 = 18*p - 21*p, 0 = -4*p + 4*b - 20. What is the closest to p in -9, -2/7, 1? -2/7 Let b = -9.27 + 8.97. What is the nearest to 2 in b, -10, 8, -3? b Suppose r = -33 - 2. Let o be (3/2)/(r/14). Which is the nearest to -0.1? (a) 0.07 (b) o (c) 0.5 a Let o = -21678 - -21677.8. Let w = 14/9 - 47/36. Which is the nearest to w? (a) 2 (b) o (c) 0.5 c Let f = -587 + 584. What is the nearest to -0.2 in f, 0, 3/2, 10? 0 Suppose -24 = -4*o - 20. Which is the closest to -0.2? (a) -1/5 (b) -13 (c) o a Let p = 0.1 - 0.1. Let z = -7132/5 - -1426. Which is the nearest to 0.1? (a) 1 (b) z (c) p c Let a = 438 - 438. What is the nearest to 2/5 in 5, 2/13, a? 2/13 Let t = -44 - -30. Let l = t + 13. Let o = 6 - 6.5. Which is the nearest to l? (a) -0.4 (b) 3 (c) o c Let o = -2 - -1.9. Let n = -2.9 + o. Let h = 7.8 - 8. What is the nearest to h in n, -5, 5? n Let s = 511 + -518. Which is the nearest to s? (a) -0.6 (b) -5 (c) -2 (d) 0.4 b Let k = -2.1 - -2. Let x = 0.02 + -0.42. Let o be 20/(-28)*16/20. Which is the nearest to k? (a) 2 (b) o (c) x c Let h be (-2)/7 + 144/210. Let m = -28 - -53. Let c = -51/2 + m. What is the closest to 1 in -3, h, c? h Let z be 1/(-2 - (-2 + 1)). Let q = -11.9 - -12.2. Let t = 3 + -3.5. Which is the closest to z? (a) t (b) q (c) 0 a Let x be (-5)/10*(-36)/(-1). Let d be 1/(-3)*x/4. What is the nearest to -2 in d, -4, -3? -3 Let x = 2 - -3. Let f = x + -6. Let l be (-1)/(-4)*(-21)/(-7)*4. What is the closest to f in -3, -2/5, l? -2/5 Let g(l) = l**3 - l**2 - 3*l + 2. Let b be g(2). Suppose 0*s + 3*z = 3*s + 21, b = -3*s + 2*z - 19. Let j = 3.7 - 3.8. What is the nearest to j in -0.1, s, 0? -0.1 Let y = 0.229 + 34.571. Let z = y + -32. Let m = z + -2.8. Which is the closest to 0? (a) -1 (b) -1/2 (c) m c Let l = 486.9 - 487. Which is the closest to 1? (a) l (b) -4 (c) 1 (d) -3/5 c Let h(r) = 8*r**3 + r. Let q be h(-1). Let l be -2 - ((-33)/q)/(-1). Let x = 132.7 + -133. Which is the closest to 0? (a) l (b) -4/7 (c) x c Let x = -0.1 + 1.1. Let u = 0.64 + -0.78. Let h = 2.14 + u. Which is the closest to -0.1? (a) 3 (b) x (c) h b Let w = 585.1 + -522. Let s = w - 63. Let j = -2 - -2. Which is the nearest to j? (a) 1/3 (b) s (c) -1/14 c Let h be 25/35*-1 + -1. What is the closest to 1 in -5, h, -1? -1 Let s = -20 - -18. Let v = -1/14 - -9/28. Which is the nearest to -2/3? (a) 0.1 (b) s (c) v a Let c = 0.726 - 0.426. What is the nearest to -0.3 in -73, 0.5, c? c Suppose 0 = 5*u + 5*i - 163 + 38, 0 = -3*u + 2*i + 50. Let l = -0.95 - -0.85. Which is the closest to l? (a) u (b) -3 (c) 1/7 c Suppose 3*h - 28 = -5*d, -2*d + 4*d - 6 = 4*h. Let r = -5.67 - -6.8. Let g = r - 0.13. Which is the closest to -1/2? (a) g (b) 0.3 (c) d b Let b = 74 - 74. What is the closest to 5 in -4, b, -1? b Suppose 20 - 16 = s. What is the nearest to -1/11 in -0.3, -1/5, s? -1/5 Let k = 570 + -569. Let c be 80/102 - (-4)/(-6). What is the closest to k in 1/4, 1, c? 1 Let p be (-9)/42 - (-2)/4. Let z = 770/1773 + 2/197. What is the nearest to p in z, -0.1, 3? z Let f = 4.499 + -0.499. Which is the closest to f? (a) -3 (b) 17/3 (c) 2 b Let k = -36 + 37.1. Let u = 1.3 - k. Let m = -6 + 6.4. What is the closest to 1 in m, u, 5? m Let k = -9 + 18. Let j = 9 - k. Let w = j + 5. Which is the closest to -3? (a) w (b) -1 (c) -2/11 b Let h = 23 - 18. Let w be (-24 + 25)*h/(-1). What is the nearest to w in -0.1, -3/7, 3? -3/7 Let y = 8.03 - 7.9. Let p = y + -0.03. Which is the closest to p? (a) -0.1 (b) 1.6 (c) 2/5 a Let w = -462/5 + 92. Let g be (-249)/(-630) + 1/5. Let u = g + -2/21. What is the closest to w in -0.3, u, 4? -0.3 Let n = -155 - -155.2. Let a(t) = t**3 + 7*t**2 + 5*t - 6. Let j be a(-6). What is the closest to j in 0.3, -2, n? n Let o = -33 - -33. Let h be (-
{ "pile_set_name": "DM Mathematics" }
t(u) = b*d(u) + 7*o(u). Suppose -3*a = a + 12. What is t(a)? 7 Suppose -5*j + u - 21 = 0, 2*u - 19 = 4*j - 7. Let s(t) = -t**3 - 5*t**2 + 2*t + 5. Calculate s(j). -5 Let l(i) = i**3 + 9*i**2 + 6*i - 8. Let h(u) = u**3 - 6*u**2 + 5*u - 2. Let o be h(2). Give l(o). 8 Let m(x) = x**3 - 5*x**2 - x. Let q = -7 - -4. Let f be q/1 + 0/2. Let w be (f/(-3))/((-2)/(-10)). Determine m(w). -5 Suppose -18 = -2*p - 4*c, 5*p = 2*c - 5 - 10. Let g(o) = 33*o**3 + o**2 + o. Give g(p). -33 Let h(d) = -3*d**3 + d**2 - 2*d + 1. Let u = 2 + -1. Calculate h(u). -3 Let y(m) = m**2 - m + 1. Let z be y(2). Suppose 2*i + z*i - 25 = 0. Let r(d) = -5 + i*d - 4*d + 4 - 2*d**2 + 5*d. Determine r(4). -9 Let q be (-3)/(1 + 4/(-2)). Suppose 5 + q = -4*p. Let a(l) be the first derivative of -2*l**3/3 - 3*l**2/2 - 3*l + 1. What is a(p)? -5 Suppose -k = -6*k + 20. Let m(z) = 2*z - 9. Let l be m(6). Let n be (-8)/k - (l + -2). Let h(w) = -w**3 - 5*w**2 - 2*w + 3. Calculate h(n). -9 Suppose -5*v - 2*a = -v - 32, -2*a - 4 = 0. Let k(j) = -j**2 + 8 - 5 - 5 - v*j. Give k(-6). 16 Let s(d) be the second derivative of d**3/6 - 3*d**2 - d. What is s(4)? -2 Let i(x) = 2*x**2 + 6*x - 4. Let p(a) = 10*a**2 + 30*a - 20. Let j(w) = 11*i(w) - 2*p(w). Calculate j(-6). 32 Let i(t) = 6 + 1 - t - 8 + 0*t. Give i(-3). 2 Let y = 67 - 31. Suppose -y = -5*r - 11. Let o(f) = 22*f - 9*f - 7*f - 6 - 4*f. What is o(r)? 4 Let v be ((-2)/2)/((-1)/(-6)). Let m be (4/v)/(4/(-18)). Let a(y) = 4*y - 2*y**2 - 2 + 0*y + 2*y**m - 2*y**2. Give a(2). 6 Let r(c) be the third derivative of c**5/60 - c**4/12 + c**3/6 + c**2. Suppose -21 = 4*b + 27. Let j be 1 + -2 + b/(-3). What is r(j)? 4 Suppose 3*u - 5*l + 3 = -u, 0 = 5*u + 2*l - 21. Let k(h) = 5*h**3 - u*h**2 - 3*h**3 - h**3 + 2. Give k(2). -2 Let s(l) = 3*l - 3. Let t(u) = 2*u**2 + 9*u + 4. Let h be t(-5). Suppose 0 = 11*x - h*x - 4. Give s(x). 3 Let g(h) = -h - 4*h + 0*h + 2*h + 4. Let f(v) = 2*v - 3. Suppose -3*w + 3 = -6. Let x be f(w). What is g(x)? -5 Let k be -2 - 0 - -4 - 7. Let x(n) = 4. Let g(t) = t - 20. Let r be (3 - 5) + -10 + 1. Let p(o) = r*x(o) - 2*g(o). Determine p(k). 6 Let j(k) = -7*k + 1. Let o(h) = 4*h - 21. Let m be o(6). Give j(m). -20 Let a(j) = j - 4. Let h be a(7). Let y(v) = 3*v - 7. Let k(r) = -r. Let x(s) = 2*k(s) + y(s). Determine x(h). -4 Let b(q) = 2*q**2 - 11*q + 8. Let p be b(5). Let h(n) be the third derivative of 0*n - 1/3*n**p - 1/12*n**4 + 0 - 3*n**2. Give h(-5). 8 Let w = 11 + -6. Suppose 45 = -5*z + w*q, 5*z - 1 + 10 = -4*q. Let c(p) = p**2 + 6*p + 2. Calculate c(z). -3 Let a(i) = i**2 + 16*i - 18. Let w be a(-17). Let s(m) be the third derivative of m**6/15 - m**4/24 - m**3/6 + m**2. Give s(w). -8 Let p(o) = 4 + 0 - 6 - o - 3*o. Give p(-2). 6 Let z(n) = -n**2 - n. Let u(t) = 4*t**2 + 6*t - 1. Let x(j) = -u(j) - 5*z(j). Let o be 43 + (4 - (4 + 0)). Let a = -41 + o. Give x(a). 3 Let x(n) = n**2 - 6*n - 3. Let i be (-5 + 13/2)*2. Give x(i). -12 Let a be (1 - 1)/(0 - -1). Let o(r) be the first derivative of -1/2*r**2 + 1/3*r**3 - 7*r - 2. Calculate o(a). -7 Let w(f) = f**3 - 6*f**2 + 5. Let d be w(6). Suppose -3*g + 10*n = d*n + 3, g + 1 = -5*n. Let o(j) = 2 - 4*j + 2*j - 3. Calculate o(g). 1 Let z(u) = u**2 + 10*u + 12. Let r be z(-9). Let d(q) = q**2 - q - 2. Give d(r). 4 Let s(v) = -v**2 + 5*v + 3. Let j be (-14)/77 + 348/(-22). Let t = 21 + j. Determine s(t). 3 Suppose -3*a - 12 = -6*a. Let m(f) = 2*f - f**2 - a*f + 4*f. Let l = -26 + 28. Calculate m(l). 0 Let t(k) = -k + 2. Let f be t(0). Let u(c) = -4 + 0 + f - c + 0. Determine u(-6). 4 Let t(h) be the third derivative of -h**6/120 - h**5/10 - h**4/6 + 7*h**3/6 - 40*h**2. Determine t(-5). 2 Let w be (1*5)/((-9)/(-9)). Let n(d) = 5 - w - d**2. Give n(1). -1 Let j = 7 - 2. Suppose -j*m = 3*b, -m = -2*m + 5*b. Let p(z) = -z - 6. Give p(m). -6 Let a(f) be the first derivative of 7/2*f**2 - 1/4*f**4 + 1 - 4*f + 5/3*f**3. Give a(6). 2 Suppose -p = 5*d - 14, 2 - 6 = -2*d. Let v(o) = -o**2 + 5*o - 4. Give v(p). 0 Let o = 9 + -7. Let l(a) = -4*a**3 + 2*a**2 + 3*a - 3. Give l(o). -21 Let j(d) be the second derivative of d**3/6 + 5*d**2/2 - 2*d. Let n be j(-3). Suppose 3*x + n*x - 15 = 0. Let a(t) = t**2 - 4*t - 1. Determine a(x). -4 Let f(j) = -j**3 + 5*j**2 - 2*j - 1. Let t be f(3). Let s(c) = -3*c - 7*c + t*c - 2. Give s(3). 1 Let l(y) = -431 - 2*y - 4*y + y**2 + 432. Give l(7). 8 Let u(m) = m**2 - 6*m - 2. Suppose -4*i - 4 - 4 = d, -2*d + 5*i = -23. Suppose 0 = -7*x + d*x + 60. Suppose -w + x = 3*w. Calculate u(w). -7 Let d be 8 + -12 + 1 + -2. Let z(b) = b**3 + 6*b**2 + 4*b - 3. What is z(d)? 2 Let c(t) = t**2 - 15*t. Let q be c(11). Let g be (-6)/(-15) - q/(-10). Let j(m) = m - 2. Calculate j(g). -6 Let q(r) = -8*r + 13*r - 3*r + 3*r**2 - 1. Give q(1). 4 Suppose 3*r - 19 = -2*y - 2*r, -4*r = 5*y - 22. Let q(s) = 6*s - 3. Calculate q(y). 9 Let t(b) = 5 + 6*b - 1 - 1. What is t(-2)? -9 Suppose -1 + 4 = -3*c. Let t be 2 + -2*(-1)/c. Let v(h) = h**3 + h - 3. Calculate v(t). -3 Suppose 5*x - 6 - 14 = 0. Suppose x*h - 5 = 3*h + 5*i, h - i = 5. Let u(w) = -w + 3*w - h - 3*w. Give u(0). -5 Let f(x) = -x**2 - 4*x + 2. Let h be f(-4). Let v(s) = s - 5 + 4 + 0 - 3*s. What is v(h)? -5 Suppose -11*b = -4*b - 42. Let q(i) = i**2 - 8*i + 9. Determine q(b). -3 Let m(n) = 8*n**3 + 20*n**2 + 2*n + 14. Let h(u) = -3*u**3 - 7*u**2 - u - 5. Suppose 0 = b + 4*b - 55. Let w(y) = b*h(y) + 4*m(y). Determine w(3). -8 Suppose 4*p - 7 = 8*p - 3*q, q = -2*p - 11. Let s(w) = w**2 + 5*w - 5. Determine s(p). -9 Let f(z) be the first derivative of -z**4/4 + 2*z**3/3 - z - 2. Let c be (-2 - (3 + -10)) + -3. What is f(c)? -1 Let g(k) be the first derivative of k**3 - 4*k - 2. Let v(n) = 4*n**2 - 3. Suppose 10*y - 5*y = -20. Let h(o) = y*v(o) + 5*g(o). Determine h(0). -8 Let n(a) = -4*a + 7 - 6*a + 9*a. Let t = -2 - -8. Calculate n(t). 1 Let i be (1 - 1)/(24/(-4) - -5). Let x(q) = -q**3 + q - 4. Give x(i). -4 Suppose 2*w = 4*n - 10, -3 = 3*w + 2*n + 4. Let o(s) = 3*s**2 + s + 3. Calculate o(w). 27 Let w(t) = -7*t**2 + 1 + 0 - 3*t - 3 + 8*t**2. Give w(5). 8 Let u(r) = -4*r**3 - 28*r**2 - 7*r - 10. Let b(g) = -3*g**3 - 19*g**2 - 5*g - 7. Let h(k) = -7*b(k) + 5*u(k). What is h(7)? -1 Let r(a) = 4*a**3 - 4*a**2 - 8 + 3*a - a**3 + 3 + 3*a**2. Let x(i) = -7*i**3 + 3*i**2 - 7*i + 11. Let t(y) = 5*r(y) + 2*x(y). Calculate t(0). -3 Suppose 3*j = -3*q + 27, q + 3 = 2*j - 2*q. Let o(z) = -z**2 + 5*z - 1. Give o(j). -7 Let l(i) = -i**3 + 5*i**2 + 2*i - 5. Suppose 10 = -9*f + 4*f. Suppose 4*z + 5 = -g, 4*g + 2*z - 31 + 9 = 0. Let y = g + f. Calculate l(y). 5 Suppose -31 = -3*m - 5*b, 3*m + m - 33 = -5*b. Let d(w) = -2 + 9*w**2 - 11*w**m + 8*w + 3*w**2. What is d(-8)? -2 Suppose -3*a + a = -6. Let x = a + -4. Let q(g) = 10*g + 1. Give q(x). -9 Let q(p) = 5*p**2. Let z(x) = x**2 - 6*x + 4. Let o be z(6). Let s(y) = 9*y - 3. Let b be s(1). Suppose 0 = -v - o*t - 13, -3*v = t + b - 0. Determine q(v). 5 Let b(x) = -2*x**2 - 3*x + 3. Let f(m) = 2*m**2 + 2*m - 2. Let v(o) = -4*b(o) - 3*f(o). Give v(-5). 14 Let s(b) = b**3 + 2. Let h be 2 - ((-3 - -3) + -1). Suppose -2*n = -h*n. Determine s(n). 2 Let b be 102/(-21) + 2/(-14) - -4. Let t(a) = 10*a + 1. Let p(r) = -9*r - 1. Let v(c) = -5*p(c) - 4*t(c). Determine v(b). -4 Suppose -14*v = -9*v - 15. Suppose -k + 4*l = -0*k - 7, -5*k - v = -l. Let b(p) = -6*p + 1. Calculate b(k). 7 Let y(s) = -s. Let i(t) = -11*t - 9. Let g(h) = -i(h) + 6*y(h). Let m(f) = 14*f + 26. Let x = -8 - -14. Let c(j) = x*m(j) - 17*g(j). Give c(0). 3 Let x(q) = -q**2. Let w be (3 + 4/(-2))*5. Let d = 4 - w. Let z(a) = 2*a**2 - 3*a + 1. Let t(f) = d*z(f) - 3*x(f). Calculate t(-3). -1 Suppose 37 - 2 = -5*q. Let a(b) = -3*b + 13. Let g(w) be the third derivative of w**4/24 - 2*w**3/3 + 2*w**2. Let s(d) = q*g(d) - 2*a(d). What is s(-3)? 5 Suppose 3*p - 2 - 13 = 0. Let q(g) = -g. Suppose 4*j + 4 = -20. Let y(h) = 7*h + 1. Let f(s) = j*q(s) - y(s). What is f(p)? -6 Let u(g) = 2*g - 68 + 137 - 66. What is u(6)? 15 Suppose 1 = 3*h + 25. Let g = h + 13. Let l(u) = -2*u + 3. What is l(g)? -7 Let x(h) be the first derivative of -h**3/6 - 3*h**2/2 + 6*h - 6. Let o(j) be the first derivative of x(j). Determine o(-4). 1 Let k(q) be the second derivative of q**3/2 - 3*q**2 - q. Let z be (3/(-9))/(2*2/(-60)). Give k(z). 9 Le
{ "pile_set_name": "DM Mathematics" }
and 4:32 PM? 243 How many minutes are there between 7:44 PM and 3:03 AM? 439 What is 714 minutes after 7:55 PM? 7:49 AM What is 482 minutes after 7:38 PM? 3:40 AM What is 401 minutes after 9:10 AM? 3:51 PM What is 175 minutes before 2:12 AM? 11:17 PM How many minutes are there between 1:40 AM and 10:08 AM? 508 What is 424 minutes after 11:03 AM? 6:07 PM What is 401 minutes before 8:59 PM? 2:18 PM How many minutes are there between 9:49 PM and 2:44 AM? 295 How many minutes are there between 1:13 AM and 10:31 AM? 558 How many minutes are there between 4:52 PM and 1:38 AM? 526 What is 141 minutes after 5:07 AM? 7:28 AM What is 139 minutes after 7:40 PM? 9:59 PM What is 581 minutes before 6:55 PM? 9:14 AM What is 313 minutes before 4:37 AM? 11:24 PM How many minutes are there between 10:51 PM and 8:07 AM? 556 What is 305 minutes after 5:43 PM? 10:48 PM How many minutes are there between 8:47 PM and 10:03 PM? 76 How many minutes are there between 12:47 PM and 6:40 PM? 353 What is 217 minutes before 7:01 AM? 3:24 AM What is 428 minutes before 10:34 PM? 3:26 PM What is 309 minutes before 9:26 AM? 4:17 AM What is 35 minutes after 7:51 PM? 8:26 PM What is 158 minutes after 7:36 AM? 10:14 AM How many minutes are there between 6:21 PM and 2:21 AM? 480 How many minutes are there between 10:21 AM and 8:51 PM? 630 What is 359 minutes after 6:38 AM? 12:37 PM How many minutes are there between 12:14 AM and 3:15 AM? 181 What is 677 minutes after 4:47 PM? 4:04 AM What is 6 minutes before 7:34 AM? 7:28 AM How many minutes are there between 2:09 PM and 4:54 PM? 165 How many minutes are there between 11:39 AM and 5:46 PM? 367 How many minutes are there between 4:43 PM and 10:20 PM? 337 How many minutes are there between 12:41 AM and 7:31 AM? 410 What is 557 minutes before 5:13 AM? 7:56 PM What is 546 minutes after 2:18 PM? 11:24 PM What is 101 minutes after 10:43 AM? 12:24 PM What is 152 minutes after 2:40 PM? 5:12 PM How many minutes are there between 8:58 PM and 10:14 PM? 76 What is 202 minutes before 10:32 PM? 7:10 PM What is 699 minutes before 11:31 PM? 11:52 AM What is 207 minutes after 6:29 PM? 9:56 PM How many minutes are there between 12:25 AM and 8:26 AM? 481 What is 115 minutes before 8:48 PM? 6:53 PM How many minutes are there between 9:09 PM and 3:09 AM? 360 How many minutes are there between 2:53 PM and 9:53 PM? 420 What is 197 minutes after 5:29 AM? 8:46 AM What is 556 minutes after 8:59 PM? 6:15 AM How many minutes are there between 3:08 AM and 1:42 PM? 634 What is 266 minutes after 5:54 PM? 10:20 PM What is 657 minutes after 12:23 PM? 11:20 PM How many minutes are there between 8:27 AM and 11:12 AM? 165 What is 549 minutes before 8:17 AM? 11:08 PM What is 532 minutes after 7:19 PM? 4:11 AM How many minutes are there between 1:19 AM and 6:14 AM? 295 How many minutes are there between 2:53 AM and 4:02 AM? 69 How many minutes are there between 5:01 PM and 4:03 AM? 662 How many minutes are there between 10:43 PM and 5:47 AM? 424 How many minutes are there between 2:31 PM and 6:40 PM? 249 How many minutes are there between 4:43 AM and 1:41 PM? 538 What is 60 minutes after 3:11 AM? 4:11 AM What is 277 minutes before 8:33 PM? 3:56 PM How many minutes are there between 1:41 AM and 1:52 AM? 11 What is 583 minutes before 3:36 PM? 5:53 AM How many minutes are there between 2:02 PM and 1:21 AM? 679 What is 274 minutes before 2:14 AM? 9:40 PM How many minutes are there between 9:26 PM and 11:17 PM? 111 What is 657 minutes before 2:52 AM? 3:55 PM What is 480 minutes after 11:33 AM? 7:33 PM What is 586 minutes before 7:12 AM? 9:26 PM How many minutes are there between 2:39 PM and 9:33 PM? 414 How many minutes are there between 4:47 AM and 9:57 AM? 310 What is 372 minutes after 1:44 PM? 7:56 PM How many minutes are there between 12:23 PM and 12:33 PM? 10 What is 675 minutes after 4:07 PM? 3:22 AM How many minutes are there between 10:51 AM and 4:13 PM? 322 What is 669 minutes before 2:51 PM? 3:42 AM How many minutes are there between 3:46 AM and 7:41 AM? 235 What is 591 minutes before 8:31 PM? 10:40 AM How many minutes are there between 9:03 PM and 8:10 AM? 667 How many minutes are there between 1:30 PM and 11:18 PM? 588 What is 560 minutes before 7:55 PM? 10:35 AM How many minutes are there between 12:18 AM and 10:13 AM? 595 How many minutes are there between 7:47 AM and 11:10 AM? 203 What is 38 minutes before 1:00 PM? 12:22 PM What is 323 minutes before 8:44 AM? 3:21 AM How many minutes are there between 4:28 AM and 8:41 AM? 253 How many minutes are there between 4:19 AM and 11:38 AM? 439 What is 406 minutes before 11:43 AM? 4:57 AM What is 141 minutes after 8:37 PM? 10:58 PM What is 690 minutes before 10:36 PM? 11:06 AM How many minutes are there between 2:26 AM and 6:52 AM? 266 What is 399 minutes after 11:15 AM? 5:54 PM How many minutes are there between 6:52 AM and 4:10 PM? 558 What is 631 minutes after 5:57 AM? 4:28 PM How many minutes are there between 2:54 PM and 10:18 PM? 444 How many minutes are there between 1:24 PM and 11:36 PM? 612 What is 556 minutes before 6:25 AM? 9:09 PM How many minutes are there between 1:59 PM and 10:27 PM? 508 How many minutes are there between 3:37 AM and 12:27 PM? 530 What is 618 minutes after 1:53 PM? 12:11 AM What is 158 minutes before 7:51 AM? 5:13 AM How many minutes are there between 4:42 PM and 2:58 AM? 616 How many minutes are there between 2:08 AM and 6:18 AM? 250 How many minutes are there between 8:34 PM and 1:49 AM? 315 How many minutes are there between 7:43 AM and 10:58 AM? 195 How many minutes are there between 3:44 AM and 3:00 PM? 676 How many minutes are there between 12:03 AM and 4:00 AM? 237 How many minutes are there between 9:02 PM and 9:55 PM? 53 How many minutes are there between 3:56 AM and 6:48 AM? 172 What is 387 minutes after 10:17 AM? 4:44 PM What is 159 minutes after 12:31 PM? 3:10 PM What is 538 minutes after 7:54 PM? 4:52 AM What is 665 minutes before 6:32 PM? 7:27 AM What is 211 minutes after 1:28 PM? 4:59 PM What is 303 minutes after 9:38 AM? 2:41 PM How many minutes are there between 6:15 AM and 12:59 PM? 404 What is 400 minutes before 9:58 PM? 3:18 PM How many minutes are there between 2:58 PM and 9:23 PM? 385 How many minutes are there between 8:23 AM and 12:06 PM? 223 What is 69 minutes before 1:00 AM? 11:51 PM What is 681 minutes after 5:08 AM? 4:29 PM How many minutes are there between 6:42 PM and 4:18 AM? 576 How many minutes are there between 10:40 AM and 7:30 PM? 530 How many minutes are there between 3:06 PM and 5:28 PM? 142 How many minutes are there between 3:02 AM and 6:58 AM? 236 What is 318 minutes after 9:30 AM? 2:48 PM How many minutes are there between 9:05 PM and 3:39 AM? 394 What is 111 minutes after 6:45 PM? 8:36 PM What is 128 minutes after 8:47 AM? 10:55 AM How many minutes are there between 9:50 AM and 6:40 PM? 530 What is 175 minutes before 8:47 PM? 5:52 PM How many minutes are there between 1:15 AM and 6:37 AM? 322 How many minutes are there between 1:49 PM and 2:22 PM? 33 What is 547 minutes before 10:28 PM? 1:21 PM What is 623 minutes before 1:36 AM? 3:13 PM What is 191 minutes after 7:08 AM? 10:19 AM How many minutes are there between 8:54 PM and 5:21 AM? 507 How many minutes are there between 11:24 AM and 6:03 PM? 399 What is 97 minutes before 6:27 AM? 4:50 AM What is 628 minutes after 3:45 PM? 2:13 AM How many minutes are there between 2:04 AM and 6:47 AM? 283 What is 473 minutes before 8:11 AM? 12:18 AM How many minutes are there between 3:44 AM and 8:37 AM? 293 What is 153 minutes before 9:40 AM? 7:07 AM What is 610 minutes after 1:09 AM? 11:19 AM How many minutes are there between 12:39 PM and 4:53 PM? 254 What is 197 minutes before 5:01 AM? 1:44 AM How many minutes are there between 10:38 AM and 12:33 PM? 115 How many minutes are there between 10:51 PM and 5:25 AM? 394 What is 139 minutes after 3:09 PM? 5:28 PM How many minutes are there between 3:54 PM and 7:00 PM? 186 What is 252 minutes after 12:14 AM? 4:26 AM What is 428 minutes after 7:06 AM? 2:14 PM How many minutes are there between 8:50 PM and 7:20 AM? 630 How many minutes are there between 9:43 PM and 11:26 PM? 103 How many minutes are there between 10:43 PM and 5:31 AM? 408 What is 137 minute
{ "pile_set_name": "DM Mathematics" }
nearest to 1 in 248, j, -0.4? -0.4 Let o = 13 + -9.95. Let n = o - 2.65. Let l = 0.94 + 0.06. What is the nearest to l in n, -3, 3? n Let c = 185.84 + -188.84. What is the closest to 2/21 in 2/11, 0.5, -1.1, c? 2/11 Let h = 1.645 - 1.7. Let z = h + -0.145. Which is the nearest to z? (a) -1 (b) -0.1 (c) 1 b Let x = -21.725 + 21.625. Which is the nearest to 0? (a) -5/3 (b) 2 (c) 26/59 (d) x d Suppose 0 = -35*s + 416 - 591. What is the nearest to 4 in 12, -2, s? -2 Let s(q) = 13*q - 182. Let x be s(14). Let o(m) = 2*m**3 + 3*m - 1. Let i be o(x). Which is the nearest to 0.1? (a) 0 (b) 3/2 (c) i a Suppose 3*p = -2*g, 3*g = 14*p - 17*p + 3. Let a be ((g - 11) + -2)/(4/2). Let x = -1 - 2. What is the closest to -1 in x, a, -0.1? -0.1 Let s = -38746/777 - -349/7. Which is the nearest to 0.1? (a) s (b) 1 (c) 1/6 c Suppose -4*n - 4 = 4. Let t(i) = i**2 - 20*i + 2. Let p be t(20). Suppose -y - 2 = -z, z - p - 3 = 0. Which is the closest to -1? (a) -4 (b) y (c) n c Let h be (1 - 5) + (-114)/(-27). Let y be (-308)/(-2926) + 78/(-19). Let v be -1 - (-3)/21*3. Which is the closest to 1? (a) h (b) y (c) v a Let r = 22 - 20. Let p = -14 - 13. Let u = p - -34. What is the closest to -0.4 in r, u, 0.5? 0.5 Let m = -2143 + 2142.8. What is the nearest to 0.2 in 0.3, m, -0.3, 1/8? 1/8 Suppose -p - m + 2 = 0, 0 = 258*p - 259*p + 5*m - 34. Which is the nearest to -3? (a) -5 (b) 2/23 (c) 0.5 (d) p d Let p = 11.927 - 11.827. Which is the nearest to 0.16? (a) 9 (b) p (c) -1 (d) -4 b Let u be (-48)/1*207/92. Let d be (2/u)/(16/(-64)). Which is the nearest to -1? (a) -2 (b) 4 (c) d a Let w = -6485/3 - -2162. Let q = 0.8 - -0.2. Let u = q + -1. Which is the closest to 0? (a) u (b) w (c) 2/9 a Let k be (3/(-5))/(252/56). Suppose 2*j - 7*j + 24 = -11*j. Let i = 0.04 + -2.04. Which is the nearest to i? (a) 0.5 (b) j (c) k c Let s = -1830 - -1829.9. What is the nearest to s in -0.5, 1, 0.1, 8? 0.1 Let f = -0.6 - -0.61. Let t = -48021 + 96043/2. Which is the nearest to 1? (a) f (b) t (c) 1 c Let b = -9134 + 9132. Let t = -1.1 - 2.9. Suppose 5*n - 3*n = 0. What is the nearest to n in -0.2, b, t? -0.2 Suppose 135*h - 86 = 221*h. What is the nearest to 2/3 in 1, h, -0.9, 4? 1 Let j = 5.4 + -0.4. Let s = 13 - j. Let i = -16616 - -16615. What is the nearest to i in 2/9, 0.5, s? 2/9 Let j(r) = 17*r**2 + 109*r - 52. Let x be j(-7). Let z = -101 - -2325/23. Which is the nearest to -0.2? (a) z (b) 2 (c) x a Let l = -766 - -858.3. Let t = 99 - l. Let x = 42.7 - t. Which is the nearest to x? (a) 2/3 (b) -0.2 (c) -2/13 a Let b = -108 + 108.59. Let p = b - 0.79. Let r = -0.6 + -0.4. What is the closest to 5 in -2, p, r? p Let y = -1061.2119 - -0.2119. Let k = y + 1016.3. Let q = k + 45. Which is the nearest to -1? (a) -2 (b) q (c) 2/3 a Suppose -322 + 28 = -23*o - 75*o. Which is the nearest to 1? (a) -4/23 (b) -0.1 (c) o (d) -3 b Let c = 121 - 1091/9. Let f = -34.1 + 34. Let m = f - -0.4. What is the closest to -1 in m, 4, c? c Suppose -98*n - 621 = -523. What is the nearest to -203 in n, -3, -4? -4 Let g = 59 + -66. Let i = 8 + g. Which is the closest to i? (a) -0.3 (b) -3/4 (c) 2 c Let d = -9796 - -107754/11. Which is the closest to 23/5? (a) d (b) 2/13 (c) -2/3 b Suppose -1 = 3*u - 4*u. Let y = 7.7 + -8. Let g = 3.37 - 3.42. What is the nearest to u in 3, y, g? g Let x = -11 + 11.2. Let p be 52/(-39)*(-2)/((-84)/(-9)). Which is the closest to x? (a) 2 (b) -2 (c) p c Let h be 0/(33/(198/(-12))). Let m be (-4)/14 + 26/42. What is the nearest to h in 3, m, 0? 0 Let c = -0.4222 + 3.4222. What is the closest to -1 in c, -154, -1/7, 1/4? -1/7 Let t = 0.034 - -26.966. Let k = t + -27.1. Let i = 0.6 + -2.6. What is the nearest to 1 in k, 0.05, i? 0.05 Let z be (-8)/(-12) + 6/(-9). Let d = -282.391 + -0.609. Let x = d + 278. What is the closest to x in z, -1/2, 5? -1/2 Let i = -5415 - -5413. Let z = 0.1 + -1.1. What is the nearest to i in 0, z, 1/4? z Let t be 18/(-15)*4/8. Let v(k) = 8*k**2 + 3*k - 20. Let h be v(5). Let f be ((-78)/h)/((-3)/(-5)). What is the closest to f in -0.1, 0, t? t Let p = -45307 + 45305. Let h = 49.115 - 49. What is the closest to h in -0.2, p, 3/8? 3/8 Suppose -42 = 7*f - 77. Suppose f*z + 24 = 4. Suppose -5*o + o = 2*l + 6, -2*o = 2*l. Which is the closest to 0? (a) l (b) 6 (c) z a Let j = -614 + 2443/4. Let z = -15/4 - j. Let s = 248 - 244. Which is the closest to -2/7? (a) 3 (b) s (c) z c Let a = -217 + 452. Let s = a + -235.4. What is the closest to 7/2 in 11, s, 3/5? 3/5 Let y be (-7)/18*7503/(-61). Let r = y + -48. Which is the closest to r? (a) -3/2 (b) -4 (c) -1/8 c Let h = 4258 + -4255. Which is the closest to 2/7? (a) h (b) -0.2 (c) 4 (d) -0.14 d Let b be ((-770)/56 - -9) + 5. What is the nearest to b in 5/2, 0.3, 424? 0.3 Let n = 1.132 - 1.2001. Let l = n - 0.1319. Let i = 1 - -1. Which is the nearest to 0? (a) -4/7 (b) i (c) l c Let w = -137.7 - -137.9. Let j be 43/9 + 6/27. What is the nearest to j in -5, w, 2, 5? 5 Let w = 24 + -23.9. Let h = -59.1 - -60.1. Which is the closest to -4? (a) -1 (b) w (c) h a Let p = -222.0535 - -0.0535. Let g = p - -222.3. Let y = 2.4 - 2.6. What is the closest to -1 in y, g, -5? y Let n = -104/315 - -2/45. Let y = 16.94 - -0.06. Let p = 21 - y. Which is the closest to -1/4? (a) p (b) n (c) 3/8 b Let n = -1 - 0. Let f = -51125.5 - -51125. Which is the nearest to 0.2? (a) -8 (b) n (c) f c Let j = -2.3174 + 2.9174. Let m = 0.15 + 0.05. Which is the closest to 4? (a) -1/6 (b) j (c) -4 (d) m b Let d = 0 - -0.12. Let h = -1.12 + d. Let g = 3.18 + 1.82. Which is the closest to h? (a) 0.02 (b) -0.2 (c) g b Let m be ((-28)/(-21))/(1*(2 - 3)). Let r = 59/10 + -27/5. Which is the nearest to r? (a) -14 (b) 1 (c) m b Suppose 4*g - 7*g - 72 = 0. Let t be 2/10*(3 - g/(-18)). Which is the nearest to t? (a) -2 (b) 9/2 (c) -3/7 c Let o = 4/3 + -19/12. Let u = -162 - -378. Let r = u + -219. Which is the nearest to o? (a) 0.1 (b) 5 (c) r a Let j = -223 - -216. Let x be (8/(-28))/(9*1/j). What is the nearest to -2 in 1/2, x, 6, -1? -1 Let d = -124417/35 - -3555. Let n = d - -13/35. What is the nearest to 1 in n, 12, 4/7? n Suppose 0*j = 4*j - 20. Suppose 8 = -5*s - 3*x, -4*s = -j*x + 2*x + 1. Which is the closest to 0.1? (a) s (b) 9 (c) 2/17 c Let q = -432.23 + 437. Let j = q - 4.8. Let u = 64 + -319/5. Which is the nearest to j? (a) u (b) 1 (c) 2/7 a Let u = -738 - -423. Let m = 315.1 + u. Which is the nearest to -0.1? (a) -0.5 (b) m (c) -1.4 b Let z = 594.4 - 594. Let t = -11 + 10. Which is the closest to t? (a) -4/11 (b) 5 (c) z a Let z = -1.293 + 1.293. What is the nearest to -0.1 in z, 2, -799, 5? z Let k be (-3)/(-6) + (-5)/4. What is the closest to -1 in 0.3, 2/45, k? k Let x = 0.0742 - 0.1742. What is the closest to x in 8, 5, 2/9? 2/9 Let g = 0.02954 - -0.37046. What is the nearest to -227 in g, -2, 4, 5? -2 Let o = -0.1 + 0.6. Let a = 4/25 + -62/75. Let p = -0.14774 - 0.25226. What is the closest to 1/3 in p, a, o? o Suppose 5*j - 21 + 161 = 0. Let r = 0.029621 + -0.029621. What is the nearest to r in j, 0.1, -4/5? 0.1 Suppose 5*d + 2*t + 35 = 56, d = -2*t + 1. Let s = 7 + 4. Which is the nearest to s? (a) 5/4 (b) 1 (c) d c Let g = 1.378 + -1.378. Let y = -5.5 + 7. Let h = -1 + y. Which is the closest to -1/4? (a) -5 (b) g (c) h b Let o be (7/21)/((1274/147)/(0 + -4)). Which is the nearest to -204? (a) -0.4 (b) o (c) -6 c Let t = 3.1 + -3. Let y = -143 + 172. Let i = 27 - y. Which is the nearest to 0? (a) t (b) i (c) 1/4 a Let f = -1491 - -1496. Let w(v) = -41*v - 1. Let p be w(-1). Let o be 1/(-2) + 44/p. Which is the closest to 0.1? (a) f (b) -1/2 (c) o c Let w be (5 - 6)/(41 - 43). Let l = 2 + -7. What is the nearest to 0.1 in l, -1/2, 1/4, w? 1/4 Let u = -1.4899 + -0.5101. What is the closest to u in 10, 3, 0.5, -2? -2 Let k = -6465.5 - -6465. Which is the nearest to 2? (a) 0.1 (b) k (c) 21 a Let s = 0.89 + -237.89. Let m = 238 + s. Which is the closest to 0.21? (a) -5/6 (b) m (c) 2/13 c Suppose -2*a - 3*j = 90 - 81, -a - 4 = j. What is the closest to 0 in -39, 0, a, -1/9? 0 Let k be (8/(-4))/((-3)/(-1)). Let q = -15431 + 15442. Which is the nearest to k? (a) 4 (b) 1/6 (c) 1 (d) q b Let
{ "pile_set_name": "DM Mathematics" }
remainder when 1452 is divided by 133. 122 Calculate the remainder when 4487 is divided by 1097. 99 What is the remainder when 256854 is divided by 144? 102 Calculate the remainder when 203847 is divided by 22. 17 What is the remainder when 4017 is divided by 448? 433 What is the remainder when 5541 is divided by 6? 3 Calculate the remainder when 1294350 is divided by 76. 70 Calculate the remainder when 151555 is divided by 437. 353 What is the remainder when 594088 is divided by 345? 343 What is the remainder when 1023 is divided by 125? 23 Calculate the remainder when 8613 is divided by 88. 77 Calculate the remainder when 4120735 is divided by 8. 7 Calculate the remainder when 8698 is divided by 52. 14 Calculate the remainder when 54202 is divided by 4912. 170 What is the remainder when 63872 is divided by 318? 272 What is the remainder when 66502 is divided by 10? 2 Calculate the remainder when 38674 is divided by 12889. 7 Calculate the remainder when 68778 is divided by 251. 4 What is the remainder when 4595 is divided by 115? 110 What is the remainder when 2698 is divided by 775? 373 What is the remainder when 591053 is divided by 26? 21 Calculate the remainder when 273411 is divided by 8. 3 What is the remainder when 53379 is divided by 7? 4 What is the remainder when 6389 is divided by 246? 239 Calculate the remainder when 1348 is divided by 294. 172 Calculate the remainder when 20422 is divided by 11. 6 Calculate the remainder when 11678 is divided by 186. 146 Calculate the remainder when 45564 is divided by 422. 410 What is the remainder when 3011 is divided by 1460? 91 Calculate the remainder when 749 is divided by 713. 36 Calculate the remainder when 120400 is divided by 286. 280 Calculate the remainder when 383367 is divided by 8. 7 What is the remainder when 76357 is divided by 249? 163 Calculate the remainder when 143432 is divided by 163. 155 Calculate the remainder when 34175 is divided by 73. 11 Calculate the remainder when 13509 is divided by 78. 15 What is the remainder when 3018 is divided by 476? 162 What is the remainder when 3152 is divided by 455? 422 What is the remainder when 18287 is divided by 2610? 17 Calculate the remainder when 5934207 is divided by 148. 147 Calculate the remainder when 12918 is divided by 11924. 994 What is the remainder when 34117 is divided by 17054? 9 What is the remainder when 33915 is divided by 2255? 90 What is the remainder when 146139 is divided by 4428? 15 What is the remainder when 3967 is divided by 200? 167 Calculate the remainder when 19902 is divided by 13. 12 What is the remainder when 5183 is divided by 95? 53 What is the remainder when 214597 is divided by 231? 229 What is the remainder when 1019 is divided by 222? 131 Calculate the remainder when 370271 is divided by 497. 6 What is the remainder when 24649 is divided by 24637? 12 Calculate the remainder when 2656 is divided by 528. 16 Calculate the remainder when 75852 is divided by 37922. 8 Calculate the remainder when 102551 is divided by 5127. 11 Calculate the remainder when 1485 is divided by 400. 285 Calculate the remainder when 105241 is divided by 15033. 10 What is the remainder when 153570 is divided by 51159? 93 Calculate the remainder when 29268 is divided by 9719. 111 What is the remainder when 222638 is divided by 222627? 11 What is the remainder when 237675 is divided by 1219? 1189 Calculate the remainder when 21212 is divided by 156. 152 Calculate the remainder when 72519 is divided by 48. 39 Calculate the remainder when 12863 is divided by 16. 15 What is the remainder when 61018 is divided by 452? 450 Calculate the remainder when 201845 is divided by 64. 53 What is the remainder when 3253 is divided by 635? 78 What is the remainder when 2776 is divided by 451? 70 Calculate the remainder when 21033 is divided by 23. 11 What is the remainder when 1009548 is divided by 16? 12 What is the remainder when 9737 is divided by 36? 17 What is the remainder when 26166 is divided by 1046? 16 Calculate the remainder when 372151 is divided by 219. 70 What is the remainder when 24440 is divided by 275? 240 Calculate the remainder when 3709 is divided by 248. 237 Calculate the remainder when 43610 is divided by 1016. 938 Calculate the remainder when 18929 is divided by 1352. 1 Calculate the remainder when 1115 is divided by 150. 65 What is the remainder when 69596 is divided by 30? 26 Calculate the remainder when 879 is divided by 862. 17 Calculate the remainder when 43909 is divided by 39. 34 What is the remainder when 6616 is divided by 156? 64 What is the remainder when 179484 is divided by 192? 156 What is the remainder when 235467 is divided by 86? 85 Calculate the remainder when 134745 is divided by 57. 54 What is the remainder when 10084 is divided by 683? 522 Calculate the remainder when 6009 is divided by 334. 331 Calculate the remainder when 774 is divided by 526. 248 Calculate the remainder when 1010 is divided by 276. 182 What is the remainder when 1807934 is divided by 8? 6 What is the remainder when 44645 is divided by 5577? 29 What is the remainder when 6287 is divided by 2059? 110 Calculate the remainder when 27029 is divided by 1689. 5 Calculate the remainder when 9403 is divided by 209. 207 What is the remainder when 3531 is divided by 93? 90 What is the remainder when 16864 is divided by 450? 214 What is the remainder when 4782 is divided by 2380? 22 What is the remainder when 406016 is divided by 268? 264 What is the remainder when 6861 is divided by 180? 21 What is the remainder when 2733 is divided by 76? 73 What is the remainder when 96670 is divided by 1007? 1005 What is the remainder when 27999 is divided by 208? 127 What is the remainder when 11817 is divided by 5734? 349 Calculate the remainder when 3671 is divided by 40. 31 Calculate the remainder when 1083 is divided by 270. 3 What is the remainder when 5805 is divided by 203? 121 Calculate the remainder when 10742 is divided by 5242. 258 What is the remainder when 16555 is divided by 47? 11 What is the remainder when 575197 is divided by 200? 197 What is the remainder when 35332 is divided by 453? 451 Calculate the remainder when 12974 is divided by 18. 14 What is the remainder when 288438 is divided by 480? 438 What is the remainder when 377834 is divided by 138? 128 Calculate the remainder when 10367 is divided by 5183. 1 What is the remainder when 3173918 is divided by 956? 954 What is the remainder when 20469 is divided by 10? 9 What is the remainder when 777710 is divided by 13? 11 What is the remainder when 14945 is divided by 27? 14 What is the remainder when 55569 is divided by 33? 30 What is the remainder when 9302 is divided by 179? 173 Calculate the remainder when 3045 is divided by 569. 200 Calculate the remainder when 10051 is divided by 701. 237 What is the remainder when 5309 is divided by 513? 179 Calculate the remainder when 548507 is divided by 3. 2 What is the remainder when 207849 is divided by 202? 193 Calculate the remainder when 4938 is divided by 985. 13 What is the remainder when 2087 is divided by 935? 217 Calculate the remainder when 6981 is divided by 1583. 649 Calculate the remainder when 71271 is divided by 42. 39 Calculate the remainder when 8478 is divided by 4234. 10 Calculate the remainder when 4417 is divided by 947. 629 What is the remainder when 102366 is divided by 17057? 24 What is the remainder when 74082 is divided by 228? 210 What is the remainder when 9979 is divided by 42? 25 Calculate the remainder when 236621 is divided by 17. 15 What is the remainder when 159135 is divided by 187? 185 Calculate the remainder when 38603 is divided by 85. 13 What is the remainder when 335257 is divided by 580? 17 Calculate the remainder when 38440 is divided by 872. 72 What is the remainder when 4562 is divided by 104? 90 Calculate the remainder when 45022 is divided by 465. 382 What is the remainder when 1081 is divided by 362? 357 Calculate the remainder when 8293 is divided by 488. 485 What is the remainder when 8620 is divided by 62? 2 What is the remainder when 935 is divided by 46? 15 What is the remainder when 1423 is divided by 451? 70 What is the remainder when 125189 is divided by 245? 239 Calculate the rem
{ "pile_set_name": "DM Mathematics" }
e 4*p + 6 - 2 = b. Are p and 2/5 unequal? True Let m = 39 - 82. Is m at most -43? True Suppose 3*h + 7 = -4*y, y - 2 = 4*h - y. Which is smaller: h or -4/13? h Let h = 0.7 - -0.3. Let q = 13 + -20. Let s(o) = -o - 5. Let k be s(q). Is h at least k? False Suppose -4*j + 5 = -5*b - 6, -5*j = b + 8. Let a(v) = -2*v + 10. Let f be a(-10). Let p = f + -151/5. Which is smaller: j or p? j Let t = -0.4 - -0.3. Suppose -3 = -u + 3. Suppose g = u*g. Is t bigger than g? False Let g(v) = -10*v**2 + 1. Let r be g(-1). Is r at most as big as -9? True Suppose 0 = -2*x + x - 2. Let w be 1/x*-1*0. Suppose f - 5 = -3*n, -5*f = 3*n + 2*n - 15. Is n < w? False Let c = -2 - -1.9. Which is smaller: c or -2? -2 Let y be (1 - 0)*0 + 5. Which is greater: y or 4? y Let q = 0.3 - 0.4. Let z be -2 - (-51)/12 - (-14 - -16). Which is bigger: q or z? z Let q = 1 - 1. Let d be q/(5/(5/(-2))). Suppose -5*a + 3*a + 2 = d. Is 1 at most a? True Let g be 2/3*(4 - 1). Suppose -8 = 4*s, -g*s = -2*t - 0*t + 2. Let r = -1239/10 + 124. Which is greater: r or t? r Suppose 0 = -6*o + 4*o + 12. Which is smaller: 7 or o? o Suppose -2*i - 5*n + 39 + 61 = 0, 3*i - 137 = -n. Let b be i/39 - (-8)/(-52). Which is greater: b or -7? b Let z = -33/100 + 2/25. Is z bigger than -0.4? True Let u be (-10)/20 + (3 - 2). Which is smaller: -13 or u? -13 Let d = -6 - -2. Let c = -2 + -2. Let z = c - d. Is 0 bigger than z? False Let j = -22 - -21. Which is smaller: j or 0.2? j Let b(d) = 2*d**2 - 30*d - 24. Let a be b(15). Is a at most -24? True Suppose 0*r = 3*r - 6. Let o be r*-1*(-2)/(-1). Let y be (2/o)/(3/2). Which is smaller: -1 or y? -1 Let g be (1 + -2)*0/1. Suppose 3*v = -g*l - l - 1, -l + 5 = -3*v. Let r(t) = t**3 + 10*t**2 + t + 10. Let m be r(-10). Is m <= l? True Suppose 1 - 3 = -g. Let w be 0*g/(-6)*-3. Let v be w/(-1 - -2) + -1. Is 7 bigger than v? True Suppose 5*m - 5 - 20 = 0. Let j = -5 + m. Suppose 0 = 5*v - 2*s - 16, s - 4 = -2*v - 3. Is j equal to v? False Suppose -6*n + 2*n = p - 9, -3*p = -n - 1. Suppose 5*o - n*o - v = 9, 0 = 3*o - 4*v - 18. Let d = o - 4. Which is greater: d or 0.1? 0.1 Let k = -2 - -2.01. Let z = k - 0.11. Let h = -2.1 - -2. Is h smaller than z? False Suppose 4*c - 2*p = -12, -2*c + 18 - 4 = 4*p. Is 0 at most as big as c? False Suppose 2*k - 5*k - 25 = 5*r, k + 5 = 0. Let z = 4 - r. Let q be 136/32 + 2/(-8). Which is bigger: z or q? z Let j = 3/7 + -4/7. Let p = -1/33 + 4/11. Is p <= j? False Let o = 0.189 - 0.089. Which is greater: 118 or o? 118 Let q(t) = -t**3 - t - 1. Let a be q(-1). Let j be ((-14)/(-945))/(a/(-5)). Is j greater than -0.1? True Let p = -26 + 24.7. Let w = -0.3 - p. Let n be (-2)/(-7) - 36/(-21). Is n bigger than w? True Let u = 35/2 - 61/4. Let h = 99 + -99. Are u and h nonequal? True Suppose 2*m + 3*c + 7 = 0, m - 2*c = -2 + 9. Let f = -8 + m. Which is bigger: 0 or f? 0 Let l(t) = -t**3 - 3*t**2 + 3*t + 1. Let f be l(-4). Suppose 0 = 2*v - f - 1. Let r be 20/(-6) - 2/v. Which is smaller: 1 or r? r Let i be 4/(-14) + 122/(-14). Let f(y) be the first derivative of -2*y**3/3 - 3*y**2 - 2*y + 3. Let d be f(-4). Which is smaller: i or d? d Suppose -4*v - 5*h = -6, 5*v - 12 = 7*v - 5*h. Which is smaller: v or 22? v Let o(c) = 1 - 3 + 1 - 4 + 3*c. Let s be o(4). Let d = s + -4. Which is greater: d or 2? d Let x be (1860/(-21))/(-5) + 6/21. Do 21 and x have different values? True Let s = 25 + -17. Let r = s + -11. Is r at least as big as 2/9? False Suppose 3*p - 40 = 4*k - 9*k, 5*k = 2*p + 15. Suppose -4*w + 5*i - 20 = w, -4*i + 21 = -p*w. Suppose 3*a + x = -17, -a - 19 + 5 = 2*x. Which is bigger: a or w? a Suppose -r = 2*d - 147, 0 = 4*d + 3*r - 391 + 100. Suppose -d = -0*c - 5*c. Let s be 6/c + (-24)/10. Is s less than or equal to -2? True Let q = -8 + 15. Which is greater: q or 4? q Suppose 4*w - 2 + 10 = 0. Let y be w/(-3)*(-9)/15. Which is smaller: 0 or y? y Let s = -7 + 17. Which is smaller: 2 or s? 2 Let q = 45 + -629/14. Which is greater: 0 or q? q Let v = -5 - -17/3. Let a = 4/3 - v. Which is greater: -3 or a? a Let f be (-2 - 88)*(-12)/(-30). Let d be 6/(-33) - f/(-44). Which is greater: 1/4 or d? 1/4 Suppose -2*i - 4*t = -18, i - t = 2*i - 7. Suppose -2*q - 2*f + 4 = -0, -5*f + i = 0. Let z be (-1 - -2) + 1 + 1. Are z and q equal? False Let q(n) = n + 6. Let y be q(-5). Let k be y/14*-1*-2. Which is smaller: -1 or k? -1 Let y = -0.8 - 1.2. Is 1 less than y? False Let t be 80 + -1*(-3 + 5). Suppose -62 = 2*v + t. Let f = -493/7 - v. Are -1 and f non-equal? True Let v = 0.02 + -5.02. Let z = -6.99 + -0.01. Let l = v - z. Is l less than or equal to 3? True Let n(a) = -a**2 + 12*a - 2. Let v be n(12). Let z be 4/5*10/(-4). Is z not equal to v? False Let c = -40667/413716 - -35/353. Let t = c + -113687/3516. Let u = -33 - t. Are u and 0 nonequal? True Let y = 9.03 + -0.03. Let p = -8 + y. Let d be 136/(-120) - 1/(-3). Is d less than or equal to p? True Let h be ((-39)/26)/((-3)/10). Are h and 2 nonequal? True Let y = 0.14 + -0.14. Let l(n) = -n + 19. Let i be l(11). Let u be 11/(-4) - 2/i. Is y less than u? False Let g = -130/7 + 1019/56. Which is smaller: g or -0.2? g Let h be 2*(-3 - (-1 - 4)). Suppose 0 = h*k - 47 + 23. Is 7 at most k? False Suppose 22 = 4*x + 6. Suppose 0 = x*q - 3*q. Suppose 3*v - k = -2, q*v - v = -5*k + 10. Is v not equal to 1? True Suppose 0 = -0*x + x. Which is greater: x or 1.3? 1.3 Let k = -9 - -5. Let u be (-3 + 34/12)*4. Which is smaller: u or k? k Suppose 10*x + 6 = 8*x. Which is smaller: x or -2? x Let t = 0 + 0.1. Let k = -1.7 - -1.59. Let w = 0.01 + k. Which is smaller: t or w? w Suppose h - 4*a = -3*h + 24, -14 = -h - a. Let f = h + -11. Which is smaller: 0 or f? f Let l be 14/10 + (-14)/35. Is l bigger than 1/18? True Let g = -0.01 - -2.01. Let n = 2.2 - g. Let s = 0.08 - -0.02. Which is greater: s or n? n Let r = -39.83 + 40. Let f = -0.07 + r. Is f > 16? False Let k = 6.3 + -7.3. Let x = 67/130 - 3/26. Is k != x? True Let u = 133.12 - 133. Which is smaller: 6 or u? u Suppose 0 = 2*d - 2 + 4. Which is bigger: -1/20 or d? -1/20 Let s = -1/145 + -431/580. Let z = 2/33 + -80/231. Which is greater: z or s? z Let p = 1723/12 - 448/3. Which is smaller: p or -7? -7 Let m(r) = 21*r + 9. Let p(v) = -5*v - 2. Let l(s) = -2*m(s) - 9*p(s). Let h be l(-3). Let f be h/6 + 23/18. Which is bigger: f or 0? 0 Let n be 6 - 6 - 4/(-9). Which is bigger: -0.1 or n? n Let s = 400 + -2794/7. Are 2 and s unequal? True Suppose -4*d = 122 + 226. Let l be 6/(-15) - d/(-45). Which is bigger: -1 or l? -1 Let c = -9406/135 + 348/5. Are c and -1/3 non-equal? True Let z be 0/2 - (0 - -24). Which is smaller: -23 or z? z Let p = 1 - 2. Let k be (-2)/(-1 - p - -2). Is 0 greater than or equal to k? True Let z = -0.13 - -0.14. Which is smaller: -1 or z? -1 Let v = 8 + -8.6. Let y = 0.4 + v. Which is smaller: y or -2/3? -2/3 Let r be 30/(-8) + (-3)/12. Let m = 1 + -3. Which is smaller: m or r? r Let p be -4 + (-4 + 6)*3. Which is bigger: -1 or p? p Suppose 3*d + 2 = -y, 0 = -d + 4*d + 5*y + 22. Let i(b) = -b**2 + 21*b - 59. Let o be i(18). Which is smaller: o or d? o Let r = 55 - 54.95. Which is smaller: r or 4? r Let p = -137/7 + 239/14. Let b be (-2)/3*(1 + 2). Is b > p? True Let a = 6 - 6.5. Let k = 0.3 + a. Which is smaller: -2 or k? -2 Suppose -4*n + 16 = 0, 2*n + 16 = -p - n. Let t be (p/(-1015))/(3/80). Let r = t + -2/29. Which is bigger: 0 or r? r Let a be 6/(-9) - 2/6. Do a and -1 have the same value? True Let h be (-314)/(-126) + (-4)/(-14). Is 3 greater than h? True Let v(q) = -q**3 - 6*q**2 + 5*q - 8. Let x be v(-7). Let f be ((-32)/20)/((-1)/(-5)). Let j = f + x. Which is bigger: -1 or j? -1 Let q be (3/6)/(6/8). Suppose -c = c. Suppose -5*i + y = -c + 2, 10 = 5*y. Which is smaller: i or q? i Let y = 178 - 190. Which is bigger: y or -1? -1 Suppose 6 = -5*p - r - 10, 2*r - 28 = 5*p. Let x = -1.9 - -2. Which is bigger: p or x? x Suppose -2*z + z + 2 = 0. Let d = z - 2. Is 1/8 >= d? True Suppose 0*l - 5*l + 15 = 0. Suppose -4 = -c - 0. Which is greater: c or l? c Let r be -5*2/3*-3. Let u be 4/r - (-2)/(-5). Let a = 4.2 - 4. Is u > a? False Let p = 41/33 - 10/11. Is 0 <= p? True Suppose -5 = z - 6. Let m = -191/40 + 35/8. Is z less than m? False Let b(s) = -s**2 - s + 10. Let l be b(-4). Let u be 5/(-12) - (-4)/(-16). Are l and u
{ "pile_set_name": "DM Mathematics" }
z: 4, f: 3, n: 11}. 11/102 Calculate prob of sequence xxp when three letters picked without replacement from {x: 3, e: 3, p: 2}. 1/28 What is prob of sequence ksn when three letters picked without replacement from {k: 5, n: 4, s: 1, w: 1}? 2/99 Calculate prob of sequence uuxx when four letters picked without replacement from ssuxsusx. 1/420 Four letters picked without replacement from {u: 4, y: 2, t: 1, w: 4, c: 6}. What is prob of sequence wwcu? 3/595 Three letters picked without replacement from eeseeses. Give prob of sequence ess. 5/56 Two letters picked without replacement from {k: 2, y: 1, t: 4, e: 2, i: 6}. Give prob of sequence ek. 2/105 Three letters picked without replacement from mmmm. Give prob of sequence mmm. 1 Three letters picked without replacement from {o: 1, e: 1, f: 1, w: 1, q: 1}. Give prob of sequence ofq. 1/60 Three letters picked without replacement from bgdddgd. Give prob of sequence gdg. 4/105 What is prob of sequence pppp when four letters picked without replacement from {p: 5}? 1 Four letters picked without replacement from yryyyryyyyyyyyyyyyy. Give prob of sequence yyry. 5/57 Calculate prob of sequence vvkv when four letters picked without replacement from {b: 4, k: 12, v: 4}. 4/1615 What is prob of sequence mm when two letters picked without replacement from jijjidjimjjm? 1/66 Three letters picked without replacement from uuuuuuu. Give prob of sequence uuu. 1 Calculate prob of sequence yaa when three letters picked without replacement from aagaydadgggaa. 5/286 Three letters picked without replacement from {f: 3, j: 1, r: 2, d: 1}. Give prob of sequence ffr. 2/35 What is prob of sequence oonb when four letters picked without replacement from {b: 1, n: 3, q: 4, o: 8, s: 1}? 1/340 Calculate prob of sequence mmmm when four letters picked without replacement from iiimmmemimimimimie. 7/306 Two letters picked without replacement from yqieieseysxexq. Give prob of sequence ie. 4/91 Four letters picked without replacement from uouo. What is prob of sequence ouou? 1/6 Two letters picked without replacement from qqsqsqq. Give prob of sequence ss. 1/21 Calculate prob of sequence rnrn when four letters picked without replacement from {f: 3, r: 5, n: 8}. 1/39 Two letters picked without replacement from imscmnv. Give prob of sequence in. 1/42 Three letters picked without replacement from oooooooookoko. What is prob of sequence okk? 1/78 Calculate prob of sequence ewwe when four letters picked without replacement from eeeeeeeeeeeeeeeeewwe. 1/190 Calculate prob of sequence ixii when four letters picked without replacement from ixxqiqqxiqxxixxxq. 2/595 Two letters picked without replacement from {i: 2, z: 2, f: 1}. What is prob of sequence fi? 1/10 Two letters picked without replacement from nsbnsdnvddz. Give prob of sequence ss. 1/55 Two letters picked without replacement from ceeeceeccceee. What is prob of sequence ec? 10/39 Calculate prob of sequence ph when two letters picked without replacement from ihmmp. 1/20 Two letters picked without replacement from kdmmaeuku. Give prob of sequence md. 1/36 What is prob of sequence qtaa when four letters picked without replacement from vvvvvqtaatv? 1/1980 What is prob of sequence mv when two letters picked without replacement from {v: 1, m: 1, l: 1}? 1/6 Calculate prob of sequence se when two letters picked without replacement from {b: 9, y: 1, s: 1, e: 4, c: 5}. 1/95 Four letters picked without replacement from szsssqyzqyyqqys. Give prob of sequence szzy. 1/819 Calculate prob of sequence mnnn when four letters picked without replacement from {n: 4, m: 4, l: 12}. 4/4845 What is prob of sequence yyyy when four letters picked without replacement from {y: 9}? 1 Calculate prob of sequence xx when two letters picked without replacement from gbbboxnxgbgxnbbg. 1/40 Two letters picked without replacement from pnnpiiinnnnni. What is prob of sequence pp? 1/78 Calculate prob of sequence fp when two letters picked without replacement from {f: 1, i: 7, p: 1, y: 3}. 1/132 Calculate prob of sequence cyyw when four letters picked without replacement from ucawaawawaayaayyay. 1/2040 Four letters picked without replacement from qjcmqmmcqm. Give prob of sequence jqqc. 1/420 Four letters picked without replacement from {e: 2, f: 1, z: 2, b: 2, p: 1, o: 1}. Give prob of sequence ezoe. 1/756 Two letters picked without replacement from jajajeeayazete. What is prob of sequence ee? 6/91 Three letters picked without replacement from {c: 5, h: 8, s: 3}. Give prob of sequence shh. 1/20 Calculate prob of sequence orf when three letters picked without replacement from fdoffodfoodfaafrr. 1/85 Two letters picked without replacement from amam. Give prob of sequence aa. 1/6 Calculate prob of sequence yb when two letters picked without replacement from {b: 1, u: 1, y: 1}. 1/6 Calculate prob of sequence lbb when three letters picked without replacement from lbbal. 1/15 Three letters picked without replacement from {d: 1, l: 5, m: 5, n: 3, o: 2}. What is prob of sequence llo? 1/84 What is prob of sequence ocoo when four letters picked without replacement from {g: 1, o: 4, d: 4, u: 2, c: 7, p: 1}? 7/3876 Three letters picked without replacement from met. What is prob of sequence tee? 0 Calculate prob of sequence yyll when four letters picked without replacement from {y: 15, l: 5}. 35/969 What is prob of sequence xjx when three letters picked without replacement from {x: 5, j: 9}? 15/182 Two letters picked without replacement from ooockcs. What is prob of sequence ko? 1/14 Two letters picked without replacement from {d: 2, n: 2, q: 1, o: 2, b: 1}. Give prob of sequence qd. 1/28 Two letters picked without replacement from pzgzkkz. Give prob of sequence pg. 1/42 Two letters picked without replacement from vvjoxrb. What is prob of sequence or? 1/42 Two letters picked without replacement from {j: 3, p: 5, y: 3, h: 3, s: 4}. What is prob of sequence hs? 2/51 What is prob of sequence arar when four letters picked without replacement from arrrra? 1/15 Two letters picked without replacement from {i: 7, o: 6, c: 1}. What is prob of sequence io? 3/13 Calculate prob of sequence aaaa when four letters picked without replacement from {a: 12, o: 1}. 9/13 Four letters picked without replacement from {r: 1, q: 9, y: 2, v: 1, t: 4}. What is prob of sequence yyvr? 1/28560 Calculate prob of sequence mjej when four letters picked without replacement from {u: 3, m: 4, l: 1, y: 1, j: 2, e: 1}. 1/1485 Four letters picked without replacement from nnnntnantnna. What is prob of sequence tnna? 28/1485 Three letters picked without replacement from mymymmyymmmymmmmmm. What is prob of sequence myy? 65/1224 Four letters picked without replacement from {n: 2, g: 2, e: 1, z: 4, i: 2, k: 1}. What is prob of sequence izek? 1/1485 Four letters picked without replacement from {b: 4, u: 15}. Give prob of sequence ubbu. 35/1292 Four letters picked without replacement from {p: 12, o: 1}. Give prob of sequence popp. 1/13 Calculate prob of sequence nhx when three letters picked without replacement from nxphxxhnxxhhaxxx. 2/105 What is prob of sequence ubf when three letters picked without replacement from sslfllubslulsll? 1/1365 Three letters picked without replacement from {s: 4, u: 9, e: 1, l: 1}. Give prob of sequence sel. 2/1365 Calculate prob of sequence qo when two letters picked without replacement from waaowaywbwwqo. 1/78 Four letters picked without replacement from {o: 5, e: 4, y: 4, c: 3}. Give prob of sequence ecey. 3/910 Three letters picked without replacement from {i: 18, g: 2}. What is prob of sequence igi? 17/190 What is prob of sequence zee when three letters picked without replacement from {z: 5, e: 14}? 455/2907 Three letters picked without replacement from yyyyyyyyyjgyyy. Give prob of sequence gyy. 11/182 Three letters picked without replacement from pccpmcocmppccmccf. Give prob of sequence pcp. 2/85 Three letters picked without replacement from {u: 1, z: 4, q: 6, e: 6, l: 1}. Give prob of sequence zzu. 1/408 Three letters picked without replacement from uxuuxuuuuxxxxuux. Give prob of sequence xuu. 3/20 Three letters picked without replacement from hmxshttmmtcxhx. Give prob of sequence cxt. 3/728 Calculate prob of sequence in when two letters pick
{ "pile_set_name": "DM Mathematics" }
120*s**2 - s + 1156*s**2. 36*s**2 Collect the terms in -14 - 8 + 23 - 47*k. -47*k + 1 Collect the terms in 3*b + 164*b + 4*b**3 - 5*b. 4*b**3 + 162*b Collect the terms in 70*y - 34 + 24*y + y**3 + 34. y**3 + 94*y Collect the terms in -2099*d**3 + 73588*d + 73592*d + 2105*d**3 - 147180*d. 6*d**3 Collect the terms in 3 + 11 - 27 - 86*d**2 + 13. -86*d**2 Collect the terms in 35*f**3 - 3*f**2 + 24*f**2 - 32*f**3 - 21*f**2. 3*f**3 Collect the terms in 2 - 6 - 45208*h**2 + 45202*h**2. -6*h**2 - 4 Collect the terms in -3250*r - 1204*r + 116*r - 876*r. -5214*r Collect the terms in 1764*s - 10*s**2 + 1635*s - 3399*s. -10*s**2 Collect the terms in -6673*f - 124 - 21 + 6674*f. f - 145 Collect the terms in -c**3 - 899*c**2 - 10*c**3 - 9*c**3 + 880*c**2. -20*c**3 - 19*c**2 Collect the terms in -13764*r - 13782*r - r**3 - 13784*r + 41330*r + 2*r**3. r**3 Collect the terms in 51632*b - 66*b**2 - 51632*b. -66*b**2 Collect the terms in -58*t**2 + 16*t**2 + 37*t**2 + 6*t**2. t**2 Collect the terms in -423*c**2 - 20*c**2 - 2*c**3 + 4*c**3 - 125*c**2. 2*c**3 - 568*c**2 Collect the terms in -2*a**3 + 2455*a + 0*a**3 - 2532*a. -2*a**3 - 77*a Collect the terms in -42*i**3 - 66*i**2 - 10*i**3 + 8*i**2. -52*i**3 - 58*i**2 Collect the terms in 1326*m**2 + 1174*m**2 + 197*m**2. 2697*m**2 Collect the terms in -3068 - 3*s + 2*s - 3625. -s - 6693 Collect the terms in 31*u**3 + 0*u - u + 3*u + 29*u**3 - 13*u**3. 47*u**3 + 2*u Collect the terms in -215*y**3 - 238*y**3 + 465*y**3. 12*y**3 Collect the terms in 5*o + 23015 - 23015. 5*o Collect the terms in -481*a**2 + 88*a**2 + 282*a**2. -111*a**2 Collect the terms in -3399*j - 48 + 48. -3399*j Collect the terms in 2*w**3 + w**3 - 6*w**3 + 37*w + 2*w**3 + 1790*w. -w**3 + 1827*w Collect the terms in -172*u**2 - 1824 + 1824. -172*u**2 Collect the terms in -175*j - 5 + 0 + 5 - 4. -175*j - 4 Collect the terms in -29*r**3 + 95*r**3 + 72*r**3 - 58*r**3. 80*r**3 Collect the terms in -1242634906 + 1242634906 + 2*a. 2*a Collect the terms in 2 - 76*a - 93*a + 40*a. -129*a + 2 Collect the terms in 27*v**2 + 12*v - 15*v - 11*v + 14*v. 27*v**2 Collect the terms in 106 - 106 + 710*v**2. 710*v**2 Collect the terms in -38*c**2 + 28*c**2 - 23*c + 11*c**2 - 11*c. c**2 - 34*c Collect the terms in 0*v - 2820*v**2 + 1711*v**2 - 2*v + 1111*v**2 + 2*v. 2*v**2 Collect the terms in -104*x + 43*x + 14*x + 22*x + 14*x. -11*x Collect the terms in 114660 - 57331 - 57329 - y**2 - 8*y**2. -9*y**2 Collect the terms in -2*w**2 + 27110*w**3 + 2*w**2 - 13552*w**3 - 13542*w**3. 16*w**3 Collect the terms in -126724*o - 126696*o + 253469*o. 49*o Collect the terms in d + 2*d**3 - 58*d**3 + 55*d**3. -d**3 + d Collect the terms in 28*z - 36*z - 31 + 6 - 3. -8*z - 28 Collect the terms in -5*i**3 + 14*i**3 - 379*i**2 + 128*i**2 - 8*i**3 + 251*i**2. i**3 Collect the terms in -5 + 5 + 236*s**3 + 159*s**3. 395*s**3 Collect the terms in 33*v**3 - 5*v**2 - 4*v**3 + 536*v - 536*v. 29*v**3 - 5*v**2 Collect the terms in 109*s - 188*s + 82*s + s**3. s**3 + 3*s Collect the terms in -11*w + 11*w + 83161*w**2. 83161*w**2 Collect the terms in -44*q**2 + 33*q**2 + 59*q**3 + 11*q**2. 59*q**3 Collect the terms in -18*u + 35*u - 235*u**2 - 17*u + 252*u**2. 17*u**2 Collect the terms in 3 - 3 + 0 + 15506*r**3. 15506*r**3 Collect the terms in 1030*p - 923*p + 168*p**3 - 171*p**3. -3*p**3 + 107*p Collect the terms in -11 + 12 + 19*r - 3 - 12*r. 7*r - 2 Collect the terms in 15 - 241 - 2*u**2 + 191. -2*u**2 - 35 Collect the terms in 586*k**3 + 119*k**3 + 393*k**3. 1098*k**3 Collect the terms in -14926229*r**2 - 1 + 1 + 14926226*r**2. -3*r**2 Collect the terms in 650 - 321 - 874*a - 327. -874*a + 2 Collect the terms in 142*v**2 - 275*v**2 + 30*v**3 + 4*v + 133*v**2. 30*v**3 + 4*v Collect the terms in -3513*z**3 + 7008*z**3 - 3515*z**3. -20*z**3 Collect the terms in 72*d**3 + 316*d - 316*d. 72*d**3 Collect the terms in 134 - 71 - 76 - 7*z. -7*z - 13 Collect the terms in 15679*f**3 + 24*f**2 - 24*f**2. 15679*f**3 Collect the terms in 655*d**3 + 2063*d**3 + 1010*d**3. 3728*d**3 Collect the terms in -10*n - 44*n + 32*n + 17*n. -5*n Collect the terms in -74*l**2 + 324*l**2 - 84*l**2 - 79*l**2 - 92*l**2. -5*l**2 Collect the terms in -12256865*h**3 + 24513732*h**3 - 12256871*h**3. -4*h**3 Collect the terms in 24679*z - z**2 + 0*z**2 - 6512*z. -z**2 + 18167*z Collect the terms in -139948*l**2 + 70044*l**2 + 69909*l**2. 5*l**2 Collect the terms in 252*b + 302903 - 302903. 252*b Collect the terms in -34 + 26 - 7*j**3 - 3*j**3. -10*j**3 - 8 Collect the terms in 19*g**2 - 66*g**2 - 40*g**2 - 85*g**2 - g + 13*g**2. -159*g**2 - g Collect the terms in 2*d + 6938 + 16*d - 3465 - 3473 - d. 17*d Collect the terms in -31*b + 114 + 46*b - 10*b - 9*b - 114. -4*b Collect the terms in 377*g**2 + 7*g**2 - 109*g**2 + 151*g**2 + 300*g**2. 726*g**2 Collect the terms in 2*q - 16 + 21 - 5 + 6*q. 8*q Collect the terms in -226*o**3 + 111*o**3 + 93*o**3. -22*o**3 Collect the terms in 32*n**2 - 42*n**2 - 52*n**2. -62*n**2 Collect the terms in -20*c**2 + 4*c + 12*c - 11*c + 13*c. -20*c**2 + 18*c Collect the terms in 1920 - 3*b + 1943 + 1952 - 5815. -3*b Collect the terms in -8032*h - 2791*h - 3036*h + 2 - 98*h. -13957*h + 2 Collect the terms in -116*a**2 - 4 + 3*a**2 + 46*a**2 + 19*a**2. -48*a**2 - 4 Collect the terms in 4595*f - 4595*f + 480*f**3. 480*f**3 Collect the terms in -323*j - 305*j + 630*j - 5*j**2. -5*j**2 + 2*j Collect the terms in -2411*s + 79*s**3 + 3*s**2 - 3*s**2 + 2409*s. 79*s**3 - 2*s Collect the terms in -1938*w - 1897*w + 3805*w. -30*w Collect the terms in -2*i**2 + 0*i**2 + 2*i**2 - 210*i**3 - 227*i**3 + 446*i**3. 9*i**3 Collect the terms in -59*w - 24*w - 24*w - 44*w. -151*w Collect the terms in -6341693 + 6341693 - 90*n**3. -90*n**3 Collect the terms in 26 + 23*p**3 - 39 - 25*p**3. -2*p**3 - 13 Collect the terms in 2*j**2 + 3*j + 6*j**3 - 235*j - 4*j**3 - 3*j**3. -j**3 + 2*j**2 - 232*j Collect the terms in -714419028*g**2 + 714419028*g**2 - g**3. -g**3 Collect the terms in -3115 - 3533 + 6648 - 4*l. -4*l Collect the terms in 4 + 68142263*g - 4 - 68142264*g. -g Collect the terms in 532*t**2 - 66*t**2 + 297*t**2 - 124*t**2. 639*t**2 Collect the terms in -208*a**2 + 72*a**2 - 69*a**2 - 137*a**2 + 2*a**2. -340*a**2 Collect the terms in 3*x**2 - x**2 + 3*x**2 - 266*x - 4*x. 5*x**2 - 270*x Collect the terms in -68277*a + 68277*a + 33*a**2. 33*a**2 Collect the terms in -134*x - x**2 + 134*x + 17*x**2 - 5*x**2 - 5*x**2. 6*x**2 Collect the terms in 60*m**2 - 4*m**3 - 116*m**2 + 27 + 56*m**2. -4*m**3 + 27 Collect the terms in -76919020 + k**2 + 76919020. k**2 Collect the terms in -113107742*c**2 - 113107738*c**2 + 226215478*c**2. -2*c**2 Collect the terms in -793*b - 539*b - 308*b + 400*b. -1240*b Collect the terms in 1 + 656*o**3 + 2713*o**3 - 1. 3369*o**3 Collect the terms in -484 - 384 + 868 - 2*c. -2*c Collect the terms in -h**3 - 504836*h + 504836*h. -h**3 Collect the terms in -18182*q + 19186*q - 1005*q. -q Collect the terms in 3*y - 17 - 66 - 23 + 106. 3*y Collect the terms in -40691 + 81378 - 40687 + 6*c**3. 6*c**3 Collect the terms in 448 - 599*s**2 - 448 + 603*s**2. 4*s**2 Collect the terms in p**2 + 508*p**3 - 255*p**3 - p**2 - 1 - 232*p**3. 21*p**3 - 1 Collect the terms in -52173*q + 26*q**2 + 52173*q - 118*q**2. -92*q**2 Collect the terms in 59 - 77*l**2 - 59 - 103*l**2. -180*l**2 Collect the terms in -10*l - 3*l**2 + 11*l - l + 0*l. -3*l**2 Collect the terms in -4*y + 0 - 16*y**2 - 10 + 3. -16*y**2 - 4*y - 7 Collect the terms in 0*o**2 + 1293 - 2555 + 1262 + 7*o**2. 7*o**2 Collect the terms in 1196*f - 2434*f + 1244*f. 6*f Collect the terms in -17*t**2 - 27*t**2 + 153*t**2 - 60*t**2. 49*t**2 Collect the terms in 4*v**2 - 537161094*v + 537161094*v. 4*v**2 Collect the terms in 790*t**3 + 26*t - 22*t + 107*t**3. 897*t**3 + 4*t Collect the terms in -13*b**3 - 17450*b + 34903*b - 17453*b. -13*b**3 Collect the terms in 78 + 84 - 5*n + 81 - 243 - 9*n. -14*n Collect the terms in 693*l**2 - 988*l**2 + 433*l**2 + 959*l**2. 1097*l**2 Collect the terms in 96*b**3 - 1905 + 62 - 98*b**3. -2*b**3 - 1843 Collect the terms in -39*h + 40*h + 15*h**2 + 19*h**3 - 3*h**2. 19*h**3 + 12*h**2 + h Collect the terms in -88804*o**3 + 29599*o**3 + 29600*o**3 + 29603*o**3. -2*o**3 Collect the terms in 160 - 160 + j**2 - 3*
{ "pile_set_name": "DM Mathematics" }
next in -4225, -10062, -15899, -21736? -27573 What is next in 2265538, 2265498, 2265456, 2265412, 2265366, 2265318, 2265268? 2265216 What comes next: 4109, 16532, 37237, 66224, 103493, 149044, 202877? 264992 What comes next: -10344, -9738, -9132? -8526 What comes next: 709, 2858, 6477, 11596, 18245? 26454 What comes next: 16676, 33283, 49908, 66557, 83236? 99951 What comes next: -316, -2733, -6790, -12499, -19872, -28921? -39658 What comes next: 426, 321, 152, -81, -378, -739, -1164? -1653 What is the next term in -21205, -21022, -20839, -20656, -20473? -20290 What is next in -1058668, -1058659, -1058650, -1058641, -1058632? -1058623 What is the next term in 20878, 21103, 21328? 21553 What comes next: 66306, 132678, 199054, 265434, 331818? 398206 What is the next term in 14050, 13609, 12386, 9991, 6034, 125? -8126 What is the next term in -358554071, -717108141, -1075662211, -1434216281, -1792770351? -2151324421 What is the next term in 295155, 590317, 885477, 1180635, 1475791? 1770945 What is the next term in -5765495, -5765661, -5765829, -5765999, -5766171, -5766345, -5766521? -5766699 What is the next term in 338, 1483, 3392, 6065? 9502 What is the next term in 116466, 116647, 116944, 117351, 117862, 118471, 119172? 119959 What comes next: 1800, 2968, 4914, 7638, 11140? 15420 What is next in -15839, -30956, -46071, -61184, -76295, -91404, -106511? -121616 What is next in 356783, 713537, 1070289, 1427039? 1783787 What is next in 197311, 789210, 1775709, 3156808, 4932507, 7102806, 9667705? 12627204 What is the next term in -22652, -90522, -203644, -362024, -565668, -814582, -1108772? -1448244 What is the next term in 59448, 118414, 177378, 236340, 295300? 354258 What is next in 76305, 150820, 225333, 299844, 374353, 448860, 523365? 597868 What comes next: 223055, 446115, 669175, 892235, 1115295? 1338355 What is the next term in 94049042, 94049038, 94049024, 94048994, 94048942, 94048862, 94048748, 94048594? 94048394 What is next in 25304672, 50609354, 75914036, 101218718? 126523400 What is the next term in 456447, 456327, 455969, 455253, 454059, 452267? 449757 What is the next term in 7220, 14444, 21704, 29000, 36332, 43700? 51104 What is the next term in 181914, 181859, 181768, 181641, 181478, 181279? 181044 What is the next term in -341487, -1365879, -3073199, -5463447, -8536623, -12292727, -16731759? -21853719 What is next in 90, 1084, 2078, 3072, 4066? 5060 What comes next: 737, 1382, 2157, 3122, 4337, 5862? 7757 What comes next: -1157490, -2314749, -3472006, -4629261? -5786514 What is the next term in 317, 1164, 2113, 2786, 2805, 1792, -631, -4842? -11219 What is next in 23965938, 23965959, 23965996, 23966049, 23966118, 23966203? 23966304 What is the next term in -11926, -13841, -15756, -17671? -19586 What is the next term in -1545, -6344, -14319, -25452, -39725, -57120, -77619? -101204 What is next in 97075, 97205, 97335, 97465, 97595, 97725? 97855 What comes next: 3993011, 7985964, 11978917, 15971870, 19964823, 23957776? 27950729 What is next in -51545455, -51545456, -51545457, -51545458, -51545459, -51545460? -51545461 What is next in -56952, -113915, -170888, -227877, -284888, -341927? -399000 What is next in 42001, 43620, 45241, 46864, 48489? 50116 What is next in -4541625, -4541572, -4541519? -4541466 What is next in -9292, -21082, -32872, -44662? -56452 What comes next: -422907, -422910, -422913, -422916? -422919 What is next in 3497, 6738, 9873, 12914, 15873, 18762? 21593 What is the next term in -1485, -3146, -4781, -6378, -7925, -9410? -10821 What is the next term in -1545544, -3091118, -4636692, -6182266? -7727840 What comes next: -11613, -45919, -103071, -183057, -285865, -411483, -559899, -731101? -925077 What is the next term in 1255, 2516, 3791, 5086, 6407, 7760, 9151, 10586? 12071 What is next in 21806846, 21806843, 21806828, 21806795, 21806738, 21806651, 21806528? 21806363 What comes next: 24097, 48125, 72153, 96181? 120209 What is next in 33, 2164, 5821, 11766, 20761, 33568? 50949 What is the next term in -10013897, -20027794, -30041693, -40055594? -50069497 What is the next term in 3129208, 12516710, 28162552, 50066740, 78229280, 112650178? 153329440 What comes next: -14916911, -14916867, -14916787, -14916665, -14916495, -14916271? -14915987 What is the next term in -13367874, -26735746, -40103618? -53471490 What is the next term in 881, 3732, 8543, 15314? 24045 What is the next term in 98438, 197617, 296796, 395975, 495154, 594333? 693512 What is the next term in 3920648, 15682643, 35285968, 62730623? 98016608 What is the next term in -25072, -201206, -679282, -1610272, -3145148, -5434882, -8630446? -12882812 What is next in 3938, 6515, 9092, 11669, 14246, 16823? 19400 What is the next term in 17700, 35981, 54262, 72543, 90824, 109105? 127386 What comes next: -869, -1362, -2691, -5270, -9513, -15834, -24647? -36366 What is the next term in -217, -304, -225, 62, 599, 1428, 2591? 4130 What comes next: -191742, -192376, -193010, -193644, -194278, -194912? -195546 What is next in -7539002, -30156019, -67851048, -120624089, -188475142? -271404207 What is next in 87322, 87318, 87314, 87310, 87306? 87302 What is next in -376, 865, 3380, 7535, 13696? 22229 What is the next term in 237562636, 475125273, 712687910, 950250547, 1187813184? 1425375821 What is the next term in 1013, 1691, 2367, 3041? 3713 What is the next term in 345, 332, 491, 924, 1733, 3020? 4887 What comes next: -294, -189, -52, 117, 318, 551, 816? 1113 What is the next term in -46785, -92988, -138639, -183744, -228309, -272340, -315843? -358824 What is next in 6201846, 6201849, 6201852, 6201855, 6201858? 6201861 What is next in 6106459, 12212896, 18319333, 24425770, 30532207, 36638644? 42745081 What is next in 984, 1708, 2202, 2466, 2500? 2304 What is next in 4530337, 4530323, 4530295, 4530247, 4530173, 4530067, 4529923, 4529735? 4529497 What comes next: 10117, 19939, 29413, 38365, 46621, 54007, 60349, 65473? 69205 What comes next: -411, 624, 2575, 5628, 9969, 15784? 23259 What comes next: -4183964, -4183961, -4183958, -4183955, -4183952? -4183949 What comes next: -225779, -225791, -225813, -225845, -225887? -225939 What comes next: -5173, 934, 17555, 49946, 103363? 183062 What is next in -168637, -337262, -505893, -674530, -843173? -1011822 What comes next: -27265, -28401, -29537? -30673 What comes next: 231933, 231853, 231733, 231573, 231373, 231133? 230853 What is next in -8374496, -33497961, -75370406, -133991831, -209362236? -301481621 What comes next: -2140, -1273, -406? 461 What comes next: 4874, 8499, 12062, 15557, 18978, 22319, 25574? 28737 What is the next term in 22029, 45302, 68575, 91848, 115121, 138394? 161667 What comes next: 8407, 33128, 74339, 132040, 206231, 296912, 404083? 527744 What is the next term in 3907, 3918, 3919, 3898, 3843, 3742, 3583? 3354 What comes next: -67910186, -67910187, -67910190, -67910195, -67910202, -67910211? -67910222 What is the next term in -299, -487, -667, -839? -1003 What is next in 152943, 605834, 1360653, 2417400, 3776075, 5436678, 7399209? 9663668 What is next in 37085320, 74170638, 111255954, 148341268? 185426580 What is next in 213452, 426883, 640276, 853613, 1066876? 1280047 What is next in 65265843, 65265850, 65265859, 65265870? 65265883 What is the next term in -279191188, -279191187, -279191186, -279191185, -279191184? -279191183 What is next in 88, -37, -238, -515, -868, -1297? -1802 What is the next term in 387, 1180, 2587, 4614, 7267, 10552? 14475 What is next in 11674, 23220, 34766? 46312 What is the next term in -3162, -24960, -84324, -200100, -391134, -676272, -1074360? -1604244 What comes next: 2462, 3351, 4240, 5129? 6018 What is next in -272580, -545148, -817692, -1090200, -1362660, -1635060? -1907388 What is next in 5916491, 11832986, 17749481, 23665976, 29582471? 35498966 What is the next term in 12017330, 12017298, 12017266? 12017234 What is next in 144756180, 289512362, 434268544? 579024726 What is next in 187262, 187240, 187218, 187196, 187174? 187152 What is the next term in -88074, -177144, -266214, -355284, -444354? -533424 What is next in -1045, -2066, -3107, -4168, -5249, -6350, -7471? -8612 What is the next term in -514387, -514393, -514399, -514405? -514411 What is next in 1803,
{ "pile_set_name": "DM Mathematics" }
-4 + 18. Let r be (2/3)/(i/(-6)). Sort r, z, -1/2 in decreasing order. z, r, -1/2 Let w be (8/(-54))/(24/36). Sort -0.4, -4, w. -4, -0.4, w Let b = 0.7 + -2.5. Let u = 1.8 + b. Let j = -2 + -1. Put -2/21, j, u in descending order. u, -2/21, j Let r = 57 + -34. Let g = 21.9 - r. Let i = g + 0.1. Sort i, -2/3, -0.2 in increasing order. i, -2/3, -0.2 Let a = -3 - 1. Suppose 2*z - 4*y = 16, -2*y - 10 = -z + y. Put 3, z, a in ascending order. a, 3, z Suppose -4*f + 4*u = -f - 33, -2 = f + 3*u. Suppose f - 1 = -2*c. Let n = c - -5. Put n, 0, 5 in descending order. 5, n, 0 Suppose 0 = 3*d - 8*d + 10. Let i be (-72)/(-154) + 2/(-7). Let p be 4/(-3) + (-16 - -16). Sort p, d, i in descending order. d, i, p Let z = 4 - 1. Let p = -3/85 - -209/1105. Put z, 4, p in decreasing order. 4, z, p Let c = -0.31 + 0.01. Sort -2, 7, c in descending order. 7, c, -2 Suppose j = -j. Let v = -3 - -3. Let y = j + v. Sort y, -2, 3 in descending order. 3, y, -2 Let q(m) = m**2 + 2*m + 4. Let r be q(-2). Suppose 2 = w + 1. Let i be w - -1*(2 + 2). Sort i, r, 2. 2, r, i Suppose b - 3*b - 2 = 0. Suppose 0 = 4*i - 1 - 3. Put i, b, 3 in descending order. 3, i, b Suppose -x - 2*x = -45. Let k = x + -18. Sort 3, 9, k in decreasing order. 9, 3, k Let t(y) = y**3 + 6*y**2 + 7*y + 11. Let s be t(-5). Sort s, -1, 3, 0 in increasing order. -1, 0, s, 3 Suppose -2*x = -0*x + 458. Let q = x + 77. Let r = 1519/10 + q. Put -2, r, 3/7 in decreasing order. 3/7, r, -2 Let d(v) = -v**2 + 5*v - 2. Let o be d(2). Suppose -52 = 5*i + o*b, 3*b + 23 = -2*i - 2. Put -2, 1, i in descending order. 1, -2, i Let y = 7 - 0. Suppose 3*n + 0*n = c + y, -3*n = -2*c - 8. Let b = 5 + -2. Put b, 1/3, n in increasing order. 1/3, n, b Let l = -27/2 + 15. Sort 1/4, 3, l in decreasing order. 3, l, 1/4 Let g(p) = -p**2 + 6*p + 7. Let b be g(7). Suppose -x + 3*x = b. Suppose x*d = 2*d. Sort d, -4, -1 in decreasing order. d, -1, -4 Let j = 0.26 - -0.04. Let t = 39.17 - 39. Let f = 0.03 + t. Sort f, j, 1 in descending order. 1, j, f Let a(x) be the second derivative of -x**3/3 - 7*x**2/2 - 5*x. Let w = 6 + -12. Let v be a(w). Sort 4, -4, v in ascending order. -4, 4, v Suppose 3*w = 3*x + 15, -2*x - 5*w + 1 = x. Let p = 18 + -9. Let r = -9 + p. Put x, -0.2, r in ascending order. x, -0.2, r Let k be 4/(-6) - 715/(-15). Let q = k + -143/3. Put -1, 0.1, q in ascending order. -1, q, 0.1 Let x be -2 + -2 - (-107)/8. Let l = -1559/168 + x. Sort -3/2, 0, l in descending order. l, 0, -3/2 Let x = 0.3 + 0.2. Put 3, -2, x in decreasing order. 3, x, -2 Let x be 10*(-1)/4 + 3. Sort 0.3, 2, x. 0.3, x, 2 Let c be ((-4)/(-10))/((-1)/(-15)). Let m be -1 - ((-13)/c - -2). Let n = 1 + -4. Sort m, n, 5 in increasing order. n, m, 5 Let s be 11/(-3) + (-2)/6. Let q = s + 4. Suppose 2*y + 0*r - 4*r - 8 = 0, q = y - 3*r - 8. Put 2, y, 0 in increasing order. y, 0, 2 Let c be -1*2*(-9)/6. Suppose 2*o - 1 = -c. Sort o, 4, 0 in descending order. 4, 0, o Let r = 29 - 19. Let g = -15 + r. Sort -2, g, 3 in increasing order. g, -2, 3 Let m = 10 + -15. Let y be (6/4)/(-3*4/24). Put y, m, -4 in descending order. y, -4, m Suppose 1 = -i - 0. Suppose 4*u - 21 + 1 = 0. Sort i, 4, u. i, 4, u Suppose 0 = -5*o - 7 - 8. Suppose -4*n - 26 = -34. Put o, n, -4 in decreasing order. n, o, -4 Let x(m) = m + 0 + 0*m + m**3 - 3 - 4*m**2 + 0. Let w be x(4). Sort -5, -4, w in ascending order. -5, -4, w Suppose 2*n = -0*n - 6. Let m = 14 + -9. Sort -1, m, n in increasing order. n, -1, m Let u be 5/(-1) + -1 - 0. Let d = u - -9. Put -1, d, -3 in decreasing order. d, -1, -3 Let n = -0.2 + 0.4. Let y = 0.3 + 0. Let f = n + y. Sort 3, -5, f in decreasing order. 3, f, -5 Let a = 1286/5 + -258. Put -2, a, 0.1 in decreasing order. 0.1, a, -2 Let v be -1*2*((-4)/(-8) + -1). Sort 2/7, v, 5, 4 in increasing order. 2/7, v, 4, 5 Let c = 8 - 7. Sort c, -6/5, 0.2 in ascending order. -6/5, 0.2, c Let i be -2 - (1*-7 - -2). Suppose -p - p + 4 = 0. Suppose 16 = 3*d - d - 4*c, p*d + i*c + 12 = 0. Sort d, -2, -4 in descending order. d, -2, -4 Let k = -11 + 11.07. Let d = -5.17 + k. Let j = 5 + d. Put -1, j, 0.5 in ascending order. -1, j, 0.5 Let u = 139 - 144. Sort u, -2/9, -6. -6, u, -2/9 Let s = -9 - -14.5. Let h = 6 - s. Sort -2, 0, h in increasing order. -2, 0, h Suppose -3*g + 25 + 11 = 0. Suppose 0 = -3*o + g, -13 = 5*b - 2*o + 20. Put 0, -2, b in ascending order. b, -2, 0 Suppose y - 7 + 31 = 4*p, 3*y = 2*p - 2. Let w = -3 + p. Let b = 371/5 - 74. Sort b, w, -0.5 in decreasing order. w, b, -0.5 Let d be -3*(-3)/(9/(-2)). Let l be -5*(1 + 9/15). Let g be (15/(-20))/(2/l). Put -3, g, d in increasing order. -3, d, g Let f be 1/4 + 90/24. Suppose 4*v + 12 = f. Sort 0.3, 2/13, v in increasing order. v, 2/13, 0.3 Let z = -70 - -70. Suppose 3*s = -2*s + 5. Sort -4, z, s in increasing order. -4, z, s Suppose -25 = 5*k - n, 5*k - 2*n + 20 = -5. Put -3, k, -2 in increasing order. k, -3, -2 Suppose -2*b - 4 = -10. Suppose 2 = -b*c + 8. Let q be 1*(0 + (-2 - -3)). Sort c, q, 4. q, c, 4 Let r = 1.5 - 1.59. Let t = -4.09 - r. Let s = 3 + t. Sort 3, s, 1/6 in ascending order. s, 1/6, 3 Let j(f) = -f + 2. Let a be j(-3). Let x be -2 - (-5)/(5/(-2)). Let n be (-5 + -1)/(x + 2). Sort a, 2/9, n in increasing order. 2/9, n, a Let u = 251.07 + -247. Let b = u - 0.07. Sort b, 0.1, -1/2 in descending order. b, 0.1, -1/2 Let y = 19 + -21.4. Let v = 1.7 + 0.3. Let p = y + v. Sort 0, p, -5. -5, p, 0 Suppose 5*g = -10 + 60. Suppose 2 + g = -3*f. Sort 4, 5, f in descending order. 5, 4, f Let s = -8 + 9. Let b = 6 + 0. Suppose -h + s = b. Sort 1, -4, h in descending order. 1, -4, h Let f(l) = -l - 24. Let p be (-1 - (-3 + 4)) + 2. Let b be f(p). Let u be 6/b - (-17)/4. Put 2, u, 3 in descending order. u, 3, 2 Let h(g) = 4*g + 6. Let f be h(-4). Let y(v) = -v**3 - 9*v**2 + 10*v - 4. Let q be y(f). Put 4, q, 3 in descending order. 4, 3, q Let p be (-1 + 14/4)*-2. Let s(i) = -i**3 - 4*i**2 - 2*i - 5. Let r be s(-4). Sort 5, r, p. p, r, 5 Let x = -10 + 10. Suppose 3*l = 17 - 8. Let i = 4 - l. Put 3, i, x in descending order. 3, i, x Let s = -0.51 - -5.21. Let v = 5 - s. Sort v, 2, 0.2 in ascending order. 0.2, v, 2 Let k = 1 + -3. Let c be 12 + 4/((-4)/3). Let o be k/3*(3 - c). Sort 0.4, 1, o in increasing order. 0.4, 1, o Let t = 0.06 - -11.94. Sort t, -0.5, -5 in increasing order. -5, -0.5, t Suppose -5*o = 4*q + 528, -2*o + q + 2*q - 225 = 0. Let g = o - -2375/22. Let i = 35/198 - g. Put i, -3, -1/2 in descending order. i, -1/2, -3 Let h = 0.2 - 0.1. Sort 0.06, -0.4, h in descending order. h, 0.06, -0.4 Let q = -7 - -7.3. Let l = -0.1 + q. Let p = 11/49 + 3/49. Put l, p, 0 in descending order. p, l, 0 Suppose 3*o - 3*h = 3, 5*o + h = -3 + 2. Let z = o - 3. Let s(y) = -y - 7. Let p be s(z). Sort 5, p, 4 in ascending order. p, 4, 5 Suppose -3*g - y - 17 = 0, 2*g - y - 2*y + 4 = 0. Let q = -8 - g. Let t be (-2 - q/6)/6. Sort -0.1, 2/7, t in descending order. 2/7, -0.1, t Suppose -r - 1 = k, 5*k - 5*r - 41 = k. Put 3, 11, k in increasing order. 3, k, 11 Let k be (3/12)/((-10)/16). Sort k, 0.2, -1/2 in ascending order. -1/2, k, 0.2 Suppose f + 4*m = 0, 4 = -2*f - 2*m - 2*m. Let l(p) = 2*p + 7. Let v be l(-6). Put v, 3, f in ascending order. v, f, 3 Let w(i) = -2*i**2 + 3*i + 4. Let v be w(3). Suppose 0 = -5*f + 25, -7*n - 4*f = -2*n - 5. Sort -4, n, v in ascending order. v, -4, n Suppose 13 = -c - 4*j, -35 = -c + 6*c + 5*j. Sort 3, 1, -4, c in decreasing order. 3, 1, -4, c Let w be 0 + 3 + 1 + -6. Suppose 0 = 5*o - 4 + 9. Let z be 0 - 6/(o + -2). Put w, z, 5 in decreasing order. 5, z, w Let n = 5 + 3. Let o = 5 - n. Let l(i) = i**3 + 9*i**2 + 6*i - 11. Let p be l(-8). Put p, -0.3, o in increasing order. o, -0.3, p Let d(v) = v**2 - 8*v + 4. Let l be d(7). Sort l, 3, 0 in descending order. 3, 0, l Let d(p) = -p - 7. Let c be d(-10). Suppose 5*u - c*u = -10. Sort -3, u, 1 in descending order. 1, -3, u Let x = -4 - 0. Let s = -2 - -3. Let j(o) = o**3 + o**2. Let i be j(s). Sort x, -5, i in decreasing order. i, x, -5 Let j = -161/583 + 5/53. Let i = 22/3 - 8. Let h = 3.9 + 1.1. Sort h, j, i in increasing order. i, j, h Let u be (12/10)/(6/80). Suppose -3*v - u = 5*f, 0 = 5*f - 2*v + 4 + 2. Sort 1/2, 0.1, f. f, 0.1, 1/2 Let d be -1*6 - (-2 - 0). Let t be 3/(-3*(-2)/d). Sort t, -3, -4 in ascending order. -4, -3, t S
{ "pile_set_name": "DM Mathematics" }
0.1 Let t = 0.095 + 2.005. Let j be ((-4)/28)/(18/42)*0. What is the nearest to t in -1, 1, j? 1 Let s = 1.391 + -1.3. Let i = 0.191 - s. Which is the nearest to i? (a) 5 (b) -6 (c) -2 c Let n = 11246.38 - 11246. Which is the nearest to -4? (a) n (b) 2/3 (c) 2 a Let g(u) = u**2 - 4*u - 2. Let b be 3 + (-3)/1 - -5. Let a be g(b). Suppose 0 = -3*r + 7*r. What is the nearest to a in r, 0.3, -1/2? 0.3 Let p = -16.4 - -16. Let d be 18/(-6) - (-2 + (-76)/84). What is the closest to -1 in 3, p, d? p Let t = 2.01 + -0.01. Let d = -0.0716 - -1.9716. Let f = t - d. Which is the nearest to 0.1? (a) 3 (b) f (c) -0.5 b Let k = 0.108 - 72.608. Let z = k - -73. Which is the nearest to 2? (a) z (b) -1/11 (c) -3/5 a Let z = -6.8 - -2. Let o = 16.2 - z. Let l = o + -23. Which is the nearest to l? (a) -5 (b) -2/9 (c) -3 c Let p = 0.06 - -1.94. Let i = 19 + -18. Let z = -259 + 258.9. What is the closest to i in 3, p, z? p Let l = -1052 - -1046.89. Let v = l - -0.11. Let u = -46202 - -415817/9. Which is the nearest to -1? (a) v (b) u (c) -0.2 c Let i(d) = -2*d**3 + 27*d**2 - 106*d + 225. Let u be i(9). Let f = 0.06 - -2.94. Which is the nearest to f? (a) u (b) -5 (c) -0.4 a Let p = -0.01631 - -2.01631. What is the nearest to 21 in p, -1.4, -1, -3? p Let m = -479.4 + 479. Let c = -287/444 + -3/148. What is the closest to 1 in -0.11, m, c? -0.11 Let r be (69/115 - 18/(-20)) + -1. Let i = 6.15 - 19.11. Let g = i - -13. Which is the closest to 0.1? (a) r (b) 4/7 (c) g c Let x be (-1)/(1*10/15*-3)*-28. What is the closest to -4/3 in -2/7, x, 5, -2/15? -2/7 Let s = -20 - -15.8. Let g = -37.8 + s. Let d = -41 - g. Which is the closest to d? (a) -8 (b) -3 (c) 2/9 c Suppose 19*g - 13*g + 30 = 0. Let f = 0.45 + -0.5. Let o = 0.25 + f. Which is the nearest to 2/11? (a) 5 (b) g (c) o c Let p be ((-170)/(-40) + -5 - 87/(-12)) + -6. Which is the closest to p? (a) 1 (b) 0.1 (c) 19 b Let s = 0.11 + -51.11. Let d = 12931 + -12977. Let o = d - s. What is the nearest to 1 in -0.1, o, 1/8? 1/8 Let g = -64.3 + 53.3. What is the closest to 6 in g, -0.1, -2/5, -0.5? -0.1 Let o = 1137.06 + -1124. Let u = o + -13. Let q = 1.199 + -0.199. What is the closest to 0 in u, q, 1/5? u Suppose 3*z = 6*n - 2*n - 23, 5*n - 22 = -3*z. Suppose 3 = -4*t + n*t. Let u = -0.07 + -3.93. Which is the nearest to -1/4? (a) u (b) t (c) 0.4 c Let k = -19151 + 19151. What is the closest to k in -1, -18, 0.95? 0.95 Let a = -633.1 - -633. Let c = 47/7 + -792/119. What is the nearest to c in a, 5, -3? a Let k = -96954.5 + 96955. Let t = -260/3 - -86. Which is the nearest to t? (a) 5 (b) 2/11 (c) k (d) -10 b Suppose -33*z = 5*t - 34*z - 21, -8 = -2*z. Let y = 0.205 - -0.395. Let v = 1.2 - 0.2. Which is the closest to 0.1? (a) v (b) y (c) t b Let k = 0.013 - -1.367. Let p = k + -1.38. Which is the closest to -0.04? (a) 2/19 (b) -2 (c) p c Let q = -10.28936 + 6.28936. Let o be (-1)/1 - (-99)/12. Which is the nearest to 1? (a) o (b) -0.4 (c) -1 (d) q b Let s be (-11)/(-18)*468/9009. What is the closest to s in 0.4, -20/11, 3? 0.4 Suppose 0 = 4*m + 5*x + 18 + 6, 3*m - x - 1 = 0. Let o = 164.4 - 162.4. Let i = 1 - 3. Which is the closest to m? (a) i (b) 1 (c) o a Suppose l - 2*d = -5, l - 41*d + 38*d + 7 = 0. Let i = -12 + 5. Let n be 2/i + 45/84. What is the nearest to n in l, -2, -0.05? -0.05 Let p = -0.11474 + 0.61474. What is the closest to 1/32 in p, -2/13, -4/7, -4? -2/13 Let h be 41/574 + 285/(-70). Let q = 46.05 - 48. Let x = -0.05 + q. Which is the nearest to 0.1? (a) h (b) -2/7 (c) x b Suppose -1559*p = -1523*p - 36. Suppose -3*v - 14 + 5 = 0. Let z be (v/6)/(1/(-14)). What is the closest to -2 in p, -0.4, z? -0.4 Let m(z) = 19*z + 24. Let o be m(-9). Let b = o - -156. Suppose -3*k + 12 = -b*k. What is the nearest to -1 in -8/5, k, 3? -8/5 Let w = -1086.5 + 1086. Let o = -69 - -63. Which is the closest to -0.2? (a) w (b) -2/7 (c) o b Let f = 15819 + -15819. Which is the nearest to f? (a) -14 (b) 1/11 (c) -15 b Let m be 2688/1176 + 25/(-14). Which is the nearest to -0.1? (a) 0 (b) m (c) 1/9 (d) -0.13 d Let i = 1650 - 1649.99. What is the nearest to 0.1 in 5, i, 0.17, 4? 0.17 Let x = -134.9 + 164. Let k = 28.9 - x. What is the closest to -2/7 in -6, 1/4, 0.1, k? k Let k = 34381 - 34385. Which is the nearest to -0.2? (a) -5 (b) -230 (c) k (d) -4/3 d Let n be (8 - 0)/((-4)/(-2)). Suppose 1 = a, n*b - 6 - 3 = -5*a. Suppose 23 = 5*m + 3*z, 5*z = -3*m + 4*m + b. What is the nearest to -1 in 0.3, 0, m? 0 Let l = -4.1 + 4.1. Let p = 44 - 219/5. Let x be (-12)/(-45) + (-4)/(-20)*-2. Which is the closest to l? (a) p (b) -0.3 (c) x c Let d be (-7 + 5)*48/99 - 14/(-14). Which is the closest to 0.1? (a) d (b) 1/9 (c) -17 b Let c = 809/42 - 129/7. What is the nearest to 0 in -10, 66, 0.3, c? 0.3 Let t = 9.781 - 0.081. Let h = t + -10.2. What is the closest to -0.1 in -1/8, -1, h? -1/8 Let g = -482 - -480. Which is the closest to -1? (a) 1/32 (b) g (c) -3 b Let d = 20.6 - 20.4. What is the nearest to -2/5 in d, 8, -2? d Let o = 43.862 + 1.138. Which is the nearest to 0? (a) 0.07 (b) -2 (c) o a Suppose -3*f - 4 + 14 = -g, 4*f - 40 = -4*g. What is the closest to -2 in 0.06, -0.1, g, 0.08? -0.1 Let j = 0.1841 + -0.2841. Which is the nearest to 1/4? (a) -7.2 (b) j (c) 0.3 c Let f = -49528/5 - -9906. What is the closest to 0 in 19, -33, f? f Let u = 24073/29964 + -246/227. Let r = u + 1/33. Let l = -250 + 250.1. What is the closest to l in r, -3, 2? r Let c = -0.0439 - -5.3009. Let u = 5.3 - c. Let w = u + -0.043. What is the nearest to w in 1/5, 0.3, -2? 1/5 Let s = -118 - -117. Let f = -100 - -100. Let t = 12 + -12.3. Which is the closest to 2/7? (a) f (b) s (c) t a Let v = -43.66 + 43.96. Which is the closest to 0.1? (a) v (b) 2 (c) -1/4 (d) -11 a Let u = -0.4 + 0.3. Let g = 691.97 - 686.97. What is the closest to u in -0.5, g, -0.06? -0.06 Let n(g) = g**2 - 2. Let s be n(2). Let p = 230826 + -230825.9. Let d = -3 + 4. Which is the closest to p? (a) d (b) s (c) -2/11 c Suppose 0 = 4*p - 16, k - p - 5 = 2. Let r = 7 - k. Suppose 2*m + 6 = -4. Which is the nearest to -1? (a) 0.2 (b) m (c) r a Let q = 933 + -504. Let o = 421 - q. Which is the nearest to o? (a) 3 (b) -2/3 (c) -0.4 b Let u be (-18)/(48/8) + (-22)/(-8). Let q = -45.2 - -7.2. Let b = q + 39. What is the nearest to u in 16, 0.1, b? 0.1 Let g be -8*12/(-216) + 11*1/(-18). Which is the closest to -1? (a) g (b) 24 (c) 2/3 a Suppose -120 = -5*s - 845. Let j = s + 142. Which is the closest to 0.03? (a) j (b) -5 (c) 3/8 c Let m = -0.162 - -89.162. Let g = m + -88.8. Let l = 36 + -35. What is the nearest to 1/4 in g, l, -3/8? g Let p = 3636 + -3632. Let i = -4 - -4. Let b = -6 + 3. What is the nearest to i in -1, p, b? -1 Let b = -3579 - -25051/7. What is the nearest to -2/3 in -0.9, 3, 2/5, b? -0.9 Let x(o) = 85*o + 1791. Let d be x(-21). What is the nearest to 2/7 in 0.3, -5, d, 2/5? 0.3 Let p = -5.16 + 25.3. Let h = -20 + p. Let t = 0.1 + 0.3. Which is the closest to h? (a) t (b) 0 (c) 2/17 c Let o = 6 + -3. Suppose 76 - 412 = 6*l. Let j be 4/(-1) - l/12. What is the nearest to -2/5 in j, o, -2/13? -2/13 Let j = 0.32 + -0.08. Let s = 26.9 + -26.14. Let i = s + j. Which is the nearest to -0.1? (a) i (b) 2/5 (c) 0.3 c Let u = -390 - -382. Let o be 3 + u/((-320)/(-255)) - -3. Let b(l) = -2*l. Let j be b(-2). What is the closest to -1/3 in -3/7, j, o? o Let z be (62/(-6))/(4/3). Let s = z + 3929/508. Let m = 395/889 + s. Which is the nearest to 1/3? (a) 2/7 (b) 4 (c) m a Let z = 327787 - 2950139/9. Suppose 4*g - 18 - 2 = 5*j, 0 = -3*j. Which is the closest to -2? (a) 0.2 (b) g (c) z a Let s = 3073 - 3072.83. Which is the closest to -0.1? (a) s (b) -7/4 (c) 0.4 (d) -1 a Let r = 10508 + -10501. Which is the nearest to -2? (a) -3/4 (b) 30 (c) 0.3 (d) r a Let i = -4.767 - -5.067. What is the closest to 1/5 in i, 7/4, -1/10? i Suppose -11*r - 105 = -160. Which is the closest to -0.1? (a) 2 (b) -0.1 (c) r (d) -2 b Let l = 668.7 + -669. Which is the nearest to 1? (a) -0.4 (b) l (c) -17.77 (d) 1/5 d Let j = -168 + 170. Let h = -7.8 + 8. Let y = 425/6 + -71. What is the closest to 0 in j, h, y? y Let f = -41 - -39. Let p = -2326 - -2323. Which is t
{ "pile_set_name": "DM Mathematics" }
2*l + y - j = 0. Solve 0 = -3*h - 3*b - 6, 3*b + l = h + 3 for h. 1 Let f = 679 - 679. Solve f = v + 2, 5*z + 4*v = 2*z - 20 for z. -4 Let k(m) = -2*m + 12. Let w(u) = -2*u + 11. Let j(b) = 4*k(b) - 5*w(b). Suppose 7 = 3*t - 8. Let v be j(t). Solve 4*n - 2*n + 6 = -c, -n - v = 5*c for c. 0 Let d = -19 + 48. Solve 4*t + 16 = 5*t + 3*v, -4*t - 5*v = -d for t. 1 Let d(w) = w**3 + 7*w**2 + 5*w - 7. Let x be d(-6). Let n be ((-56)/(-4))/(x*2). Let c = -7 - n. Solve m + 5 = 2*u, c = 5*u - 2*u - 6 for m. -1 Let j(a) = 9*a + 18. Let w be j(-12). Let l = w + 94. Solve -v = l*p - 2*v + 5, 4*p = -5*v + 25 for p. 0 Let r be (-160)/60*6/(-8). Solve s + 14 = r*s - 4*q, 4*s = -5*q - 28 for s. -2 Let p(h) = -h. Let o be 0/(-5*(-4)/10). Suppose o = -2*w - 5*i + 16, w - 2*i = -w - 12. Let n be p(w). Solve -2*v = -4*t + 4, n*v - 14 = -3*t + 3 for v. 4 Let h = 98 + -96. Solve 3*b - 6 = -a + h*a, 5*b - a = 12 for b. 3 Suppose -5*s = 2*o - 89, -o - 2*s = 2*s - 43. Suppose 7 - o = -v. Solve 4*w = -w - 5*d + v, 3*w + d = 18 for w. 5 Let m be (-1 + 0)*0/9. Solve m = -5*a + 25, 2*x + 5 = -a - 0 for x. -5 Let d(b) = -b**2 - 25*b - 66. Let m be d(-22). Suppose 2*k - 22 = k. Solve -u - u + 4*o - k = m, -3*o + 9 = u for u. -3 Let t = -7 + 10. Suppose s = t*s - 8. Solve -4*z + 12 = 5*h, s*h + 3*z = 6*h - 14 for h. 4 Let t be 9/(45/2) + 16/10. Solve -2*u = -4*u + t*b - 16, -12 = 2*u - b for u. -4 Let p(t) = t**2 - t. Let y be p(-1). Let v be -11 + 1 + 20 + -8. Solve -v*l + 4 = y*c, -4*c + 5*c = 3*l + 6 for c. 3 Let r(b) = b**3 - 6*b**2 + 6*b - 2. Let y be r(5). Suppose 0 = 153*v + 134 - 746. Solve -2*h + f - 18 = -f, y*f + 8 = -v*h for h. -5 Suppose -g = -3 - 1. Suppose -h + 3*h = g. Let c = -14 + 16. Solve -5*k - 4*b - 15 = h, c*b = -5*k - 21 for k. -5 Let p = 163 - 139. Solve m - 7*g + 3*g + 7 = 0, 3*m + 3*g = p for m. 5 Let k = -51 + 136. Let n = k - 80. Solve 0 = -n*w + 2*i - 7 - 8, 2*w - 4*i = -22 for w. -1 Let o = -1 + 9. Let i(z) = 3*z - 6. Let y be i(o). Suppose 4*t - y = t. Solve -r + 8 = 3*b, -5*b = -r + t*r - 10 for b. 3 Let m(x) = 2*x**2 + 2 - 8*x**2 - x**3 - 14*x**2. Let d be m(-20). Solve -7 = 4*a + d*z + 15, a - 2*z - 2 = 0 for a. -4 Suppose -4*j = -3*u + 15 + 5, -14 = -5*u - 3*j. Suppose -28 = -0*x - u*x. Let s be 0 + (0 - (-2 - -1)). Solve -2*z = -s + x, 2*p - 14 = 2*z for p. 4 Suppose 0 = 50*l - 48*l - 24. Let v be (304/32)/(1/2). Let q = v - 15. Solve 2*x + 0*x = u - 6, -3*u + l = -q*x for u. 0 Suppose 21*i - 19*i = 24. Suppose 0 = m + 3*m - i. Solve -2*q + m*l = 6 - 2, 4*q + 16 = 2*l for q. -5 Let h be 10/2 + (-738)/(-41). Solve g = -4*w - 0*g - h, -g = -w - 2 for w. -5 Let i(g) = -g + 2. Let v = -16 + 14. Let n be i(v). Let m be (-13)/(-4) - 1/n. Solve -3*y = m*f + 27, 2*f + 23 = -4*y + y for f. -4 Let o(l) = -l**3 - 11*l**2 - 28*l - 85. Let g be o(-9). Solve k = 4*t - 11, 0 = g*k + 2*t + 10 + 1 for k. -3 Let u be (-5)/(-7)*(37 + 12). Solve 6*t - 3*h - u = 2*t, 3*t = -h + 10 for t. 5 Let v(m) = -85*m + 4. Let h be v(-2). Let c be 1/(9/h) - 1/3. Solve p - 2*p = -2*t - 11, -p + c = -4*t for t. -4 Let s = -577 + 594. Solve -2*k - s = 3*v, 0*v - k - 10 = 2*v for v. -3 Let s(c) = -2 - 11*c + 12*c - c**2 - 9*c. Suppose -2*z - 19 + 5 = 0. Let q be s(z). Solve -4*f - f - 3*n = 0, 2*f + q*n - 19 = 0 for f. -3 Suppose 6*o - 2*o - 52 = 0. Let p(y) = y**3 - 29*y**2 + 99*y + 29. Let r be p(25). Solve 0 = -5*n - j - o, -r + 13 = -3*j for n. -2 Suppose 24 = 13*l - 15. Solve 3*k = -l*j + 21, k + 2 + 3 = 5*j for j. 2 Suppose 151*q = 148*q + 3. Let c be (-6)/9*(-1 - 2). Solve -4*y = 5*t - 5 + q, 2*t = c*y - 2 for t. 0 Let f = 12 - -13. Suppose f*j = 21*j + 12. Solve -y = j*n - 2, 1 = -n - 3*y + 15 for n. -1 Let x(k) = k - 9. Let d(c) = c**3 + 6*c**2 + 2*c. Let u be d(-5). Let i be x(u). Suppose -5 = i*f - 7*f. Solve 5*p = -f*t + 30, 3*p + 2 = t - 0 for t. 5 Let t be 4 - 4/((-2)/(-1)). Suppose -m = 3 + t. Let h be (m - 0)*(-6)/10. Solve h*c + 4*b - 8 = 0, 3*c - 13 = -b - 2 for c. 4 Let q(z) = -z**2 - 14*z - 3. Let b be q(-12). Suppose 7*g - b = -0*g. Solve j - 7 = g*j + 5*m, -32 = -5*j + 4*m for j. 4 Suppose o + 4 - 7 = -q, 16 = 5*q + 4*o. Solve 4*a = q*d, -3*a + 5*a + 2*d = 4 for a. 1 Let c = -276 - -281. Suppose 35 = 4*a + a + 5*i, -2*a + 2*i + 6 = 0. Solve a*s = -0*h - c*h + 45, 0 = -3*h + 15 for s. 4 Let v be -2 + (-56)/(-12) - (-22)/(-33). Solve -c - v*u = -2, 8*c = 3*c - 5*u for c. -2 Let g(c) = -c**2 - 12*c - 2. Let m be g(-12). Let u = 5 + m. Suppose d - 4 = -d. Solve -u*t + 1 = -f - 0*t, d*t + 6 = 2*f for f. 5 Let g(b) = b**2 - 9*b + 33. Let p be g(5). Solve -5*k = -3*u - p, 5*k - 6*u + 4*u - 12 = 0 for k. 2 Suppose 0*s - 7*s = -14. Suppose -s*t + 3*t - 5 = -4*o, -4 = -t - 3*o. Solve 0 = 4*v + p - t, 5*v + 4*p + 1 + 6 = 0 for v. 1 Let g = -205 + 213. Solve 3*r = 4*f - 4, -r + 2*f + g = 3*f for r. 4 Let r(y) = y + 12. Let l be r(-16). Suppose 4*g + g = 30. Let a = l + g. Solve -5*q + 22 = -a*s, -s + q = -0*s + 5 for s. -1 Suppose 6 = 4*b - 2, -b + 22 = 4*r. Solve -o - j - 20 = 3*j, 5*o - 25 = r*j for o. 0 Let p be ((-30)/8)/(4/(-16)). Suppose -2*c + 10 = -0*c. Suppose 4*w = c*w - 4. Solve 1 = -2*h + q - w, 4*h = 3*q - p for h. 0 Let g(c) = -2*c**2 + 60*c + 22. Let b be g(30). Solve 2*w + 3*v - 2 = 0, 0 = -0*w - 4*w + 3*v + b for w. 4 Let i(y) = -3 + 2*y + 0*y + 8 - 3*y. Let m be i(-5). Suppose 8*g + 32 = m*g. Solve -2*l + 3 = k, -4*k + 7 = -3*l - g for k. 5 Suppose -206 = 32*a - 526. Solve -3*o + g - 4 = 0, 7*o = a*o - 4*g - 11 for o. -3 Let m = -82 - -143. Let f = -37 + m. Suppose -s = -3*b + b + 5, s = -1. Solve 0 = 4*y - 2*o + f, y + o - b + 5 = 0 for y. -5 Let c(s) = 56*s**3 + s - 2. Let f be c(1). Suppose 0 = 4*x - f - 9. Solve 0 = 5*j - 3*l - 4, 2*l - 6*l = 4*j - x for j. 2 Suppose s + 43 = 49. Suppose -r + s*r - 20 = 0. Solve 0 = -3*f - 5*c - 25, -r + 3 = f - 2*c for f. -5 Suppose 9*n - 4*n = 145. Suppose -28 = -g - 5*q, -5*q = 3*g - q - n. Solve 0 = -5*z + 5*m + 5, -6 = -z - g*m - 25 for z. -4 Suppose -59 = -3*u + 6*y - y, 45 = 5*u + 5*y. Solve 0 = 2*n - 4*p - 1 - 17, -2*n = -3*p - u for n. -1 Let l(q) = -q**3 + 6*q**2 + 10. Let m = 65 - 46. Let o = m - 13. Let j be l(o). Solve -5*d = -5*y - j, 5*d + 5*y + 8 = y for d. 0 Let b be 2/(-7) + -4 + (-1560)/(-168). Let r = 2 + 2. Suppose -q + 0*q = 4*n + 1, 27 = 5*q + 4*n. Solve -q = w + 2*o, -4*w - 17 = -b*w + r*o for w. 1 Let k = -1338 - -1343. Solve 4*v - 3*t = 8, 7*t - k = v + 8*t for v. -1 Suppose 223 = 5*c - 2*k, 4*c + 5*k - 185 = -0*c. Suppose 45*j - c = 40*j. Solve 2*h + j + 3 = x, 5*h + 4*x = -17 for h. -5 Let r(s) = -9*s**2 + 11 - s - 7 + 10*s**2 + 12. Let y be r(0). Solve -3*t = x + y, t + 4*t + 24 = -x for t. -4 Suppose 31*t = 402 + 32. Let p be (-2 - -2)/(-1 - 1). Solve p = g + j - 4, -t = -4*g - 2*j - j for g. 2 Let p(v) = -v**3 + 7*v**2 - 30*v - 3 + 10*v + 15*v. Let z be p(6). Suppose -5*m = i - 34, 5*i = z*m + 2 - 0. Solve 4*j = -q + 12, -5*j - m = -2*j - 3*q for j. 2 Let t = 52 + -47. Suppose 4*x = 5*y - 80, -2*y + 6 + 43 = -t*x. Solve n + 3*k + 0*k = y, 4*n + k + 7 = 0 for n. -3 Let k(l) = l**2 + 5*l - 2. Let u be k(-6). Let q = 4 - u. Solve w = -3*b - b + 11, q = -4*w + 4*b + 4 for w. 3 Let z be (4/2)/((-6)/57). Let k = -26 - z. Let y = -3 - k. Solve 2*d = y*u - 4, 0 = 2*d - 4*d + 5*u - 4 for d. -2 Suppose 22 = 4*s - 3*a - 1, 2*s - 11 = a. Solve 4*d = g - 0 + s, 10 = -5*d - 2*g for d. 0 Let d(y) = 117*y + 472. Let r be d(-4). Solve 2*w + 3*f + r = 0, -f - 8 = w - 5 for w. -5 Suppose 5*b + 22 = 15*l - 14*l, 5*b + 12 = -4*l. Solve l*g - 5 = 3*g - o, -o + 5 = 2*g for g. 0 Suppose -2*x - 6 = -5*c, 6 + 6 = 5*c + x. Solve -3*b = 4*o - 14, 5*b = 4*o + c - 0 for o. 2 Let m = -112 + 129. Suppose -5*z - j + 6*j = -25, -5*z = -j - m. Solve z*o + 2*u = -17, -3*u = 6 + 6 for o. -3 Suppose 22 = 3*h + 16. Solve 1 = -2*r - 3, -4*j + 5*r = -h for j. -2 Let y be 0/1*((-3)/2 - -2). Let d be ((-4)/10 + y)/((-1)/20). Solve u = -d*w + 5*w - 10, 0 = 2*u + 4*w + 12 for u. 2 Let h be 1/2 - (-276)/24. Let i(u) = 2*u - 22. Let w be i(h). Suppose 4*z + n + 0*n + 1 = 0, 5*z + 5 = -w*n. Solve b + z = -s + 3*s, 5 = 5*b for s. 1 Suppose m = -2*j + 3, -3 - 9 = -4*m + 3*j. Let b be 5/m - 8/(-6). Solve -3*k + f = 10, -b*k - 2*k = -3*f + 14 for k. -4 Let i = -1626 - -1626. Solve -5*s + 2*z = -16, s - 2*z + 6*z + 10 = i for
{ "pile_set_name": "DM Mathematics" }
h = 36. Let w = j - -116/3. Let o be 3 - 1 - 16/9. Which is the second biggest value? (a) w (b) -3/5 (c) o c Let r be (-149)/18 - (-6)/(-27). Let v = 120 + -111. Let j = r + v. Which is the biggest value? (a) j (b) -1 (c) -2/15 a Let k be (((-8)/(-3))/(-8))/((-1)/(-3)). Let v be 3/4*(-2)/(-9). Which is the biggest value? (a) 5 (b) v (c) k a Let d = -953 + 953.02. What is the third smallest value in d, 7, 3? 7 Let r = 416.61 + -416. What is the second biggest value in -4/3, -0.1, -1, r? -0.1 Let w = -496 - -493.47. Which is the third smallest value? (a) 0 (b) 1/9 (c) w (d) 5 b Let y = 383 + -383. Which is the fourth smallest value? (a) y (b) -0.2 (c) 0.1 (d) 4 d Let t(n) = -n**2 - 10*n - 11. Let d be t(-8). Suppose d*c - 8 = -33. Let q = 646 + -646. What is the third smallest value in -0.2, q, c? q Let x = -10 - -10.1. Let n be -7 - (-20)/(-15)*-3. What is the second biggest value in x, 0, n, -6? 0 Let k be 25/22*2/(-6). Let v = k + 1/22. Let o = -0.061 - 3.939. What is the biggest value in 0.2, v, o? 0.2 Let k = -3.9 - -8.8. Let o = k + -0.9. What is the biggest value in 2, o, -2, -7? o Let p be 4/(-10)*10/14. Let g be (51/(-170))/((-12)/5). What is the third smallest value in g, p, 3? 3 Let x = 3 - 16. Let v = 12.3 + x. Let s = 1 + v. Which is the third smallest value? (a) 0.5 (b) s (c) 3 c Let q = -6.8 - -4.32. Let v = 0.52 - q. What is the third biggest value in -1.9, v, -0.1? -1.9 Let t = -60.1 + 8.1. Let i = t + 54. What is the fourth biggest value in i, -5, -0.3, 0.2? -5 Let f = 21 + 3. Let i = -23.8 + f. What is the third biggest value in 1, i, -5? -5 Let y = 259 + -259. What is the smallest value in 3/25, -0.2, y? -0.2 Let v = -0.1485 + 5.1485. What is the third smallest value in 76, v, 0.2? 76 Suppose 17*m + 20 = 13*m. Suppose -5*h + 1 + 4 = 0, -2*v - h = 7. Let x = -0.471 - 0.029. What is the second biggest value in v, x, m? v Let l = 0.288 + 12.712. What is the third smallest value in l, 7, 0.1? l Let g be (((-8)/10)/2)/2. Suppose -5*f = -2*x - 11 + 20, -4*x - 24 = 4*f. Which is the second smallest value? (a) f (b) g (c) 0.2 (d) 2 b Suppose 6*r - 5*l = 3*r - 3, 0 = 4*r - 4*l + 4. Let z = 0.96 - 1.26. Let g = 8.2 - 8. Which is the third biggest value? (a) g (b) z (c) r c Let m = 10.2 - 66.2. Let d = m + 58. What is the smallest value in d, 0, 0.1, 0.5? 0 Let g(o) = -o - 8. Let l be g(-7). Let v be l - (-4)/((-16)/(-172)). Let c be (-12)/v*14/30. What is the biggest value in c, 2, 0.1? 2 Let q = 135 + -135.04. Which is the biggest value? (a) q (b) 3 (c) -4 (d) -3 b Let h(u) = u**2 + 4*u + 2. Let k be h(-3). Let x = 5604 + -5604.4. Which is the biggest value? (a) k (b) 0.02 (c) x b Let z = 164 + -169. Which is the second smallest value? (a) 233/3 (b) z (c) -3 (d) -4 d Let d = 21 - 21.2. Let h be 1*(4 + 0 + -2). What is the smallest value in h, 1/6, d? d Let d = 4 + -10. Let g = d + 18. Let x = -13 + g. What is the smallest value in -1/2, -2/3, x? x Let i = -11.38 + 9.38. Which is the smallest value? (a) i (b) -3 (c) 0 (d) 0.4 b Let s = 23 + -2. Let i = 25 - s. Let f = -1230/7 - -176. Which is the biggest value? (a) i (b) -1 (c) f a Let n = -28.1 + 27.6. What is the third smallest value in 0.6, n, 3? 3 Let o be 2/6 + 0 + (-162)/(-585). Let i = 500782/2145 - 2568/11. Let y = o - i. What is the third biggest value in y, -4/3, 3? -4/3 Let u = -4.9 + -26.1. What is the second smallest value in 5, 3, u? 3 Let v = -694 - -681. Let m(x) = 5*x**3 - 2*x**2 + x. Let u be m(1). Which is the third smallest value? (a) 0.5 (b) u (c) v b Let h = 0.237 + 0.053. Let l = h + 6.71. Let k = l + -6.7. Which is the biggest value? (a) 2 (b) k (c) -4 a Let d be ((-296)/(-40) - 7) + 36/10. Suppose 0 = -r - f - 3, -7 - 5 = 3*f. What is the third biggest value in d, r, 3? r Let m = 103.4 - 118. Let k = m + 14. Let j = 0.4 + k. Which is the third biggest value? (a) -1/3 (b) -2/3 (c) j b Let g = -55/8 - -149/24. What is the biggest value in 0.5, g, -50? 0.5 Let l = 1 + 3/2. Let p be -3*((-21)/(-45))/(-7)*-2. Which is the fourth smallest value? (a) p (b) 5 (c) 0.4 (d) l b Let i be ((-8)/(-12))/((-2)/60*-4). Suppose 3*u + 7 = -4*v, -5 = i*u + 2*v + 2. What is the third biggest value in 2/9, -2, u, 2/7? u Let g = -605/2 - -302. What is the third biggest value in 1/4, -1/4, -2/13, g? -1/4 Let j = 0.4 - 0.4. Let z be -16 + 14 - 1*-4. Suppose 0 = -z*w + 3*w - 5. What is the third biggest value in w, -3/2, j? -3/2 Let y = -51/7 - -139/21. Let u be (-2 - 1)*140/21. Let i be u/6 + 4 - 0. Which is the second smallest value? (a) y (b) 2 (c) i c Let k = -2.5 + 2. Let f = -3907/3 - -1323. Let m = 21 - f. Which is the second smallest value? (a) k (b) 1 (c) m c Let s = -113 - -108. What is the second smallest value in s, 0, 5, 0.01? 0 Let r be -6*(5/(-35) + (-45)/126). Let o = -8 + 4. Which is the third biggest value? (a) r (b) 4 (c) o c Let r = -5 + 7. Suppose 0*v + 4*v - 2 = -2*p, r*v - 16 = 2*p. Let y be 5/(-2)*v/45. What is the third smallest value in -4, -2/13, y? -2/13 Let l = 96 - 51. Let h = -45.7 + l. Which is the biggest value? (a) h (b) 4 (c) 1 b Let m = 3.29 + -6.29. Let r = 6 - 2. Which is the second smallest value? (a) r (b) -1/2 (c) m b Let s = -47 - -26. Let t = s + 19.7. Let y = 1.9 + t. What is the second biggest value in -4, -2/13, y? -2/13 Let n be 7/(-14)*4/(-14). Which is the second biggest value? (a) -3 (b) -0.13 (c) n b Let m = 244 - 973/4. Which is the second smallest value? (a) -4 (b) m (c) -0.505 c Suppose -38 = -3*p - 53. Let t be 372/624 + 4/26. Which is the fourth biggest value? (a) -0.5 (b) 0 (c) p (d) t c Let z = -5653/15 - -377. Let x = 4.37 - 26.47. Let i = x - -22. What is the third biggest value in i, z, -0.2? -0.2 Let t(j) = j**2. Let d be t(-3). Let n be 25/9 - (-2)/d. Let k = -17 - -17.3. Which is the smallest value? (a) -0.5 (b) n (c) k a Let q = -73/260 - -2/65. Let y = -112/13 - -211/26. What is the biggest value in -1/9, q, y? -1/9 Let p = -3089/7 + 441. Which is the third smallest value? (a) -221 (b) 1/5 (c) p b Let n = 5.09 - 0.09. Let s be (4/12 - 1) + 240/9. Let h be s/(-126) + (-4)/18. What is the smallest value in h, -0.4, n? h Let x = 1.1 + -5.1. Let q = -1.5 - -18.9. Let c = -17 + q. What is the third smallest value in x, 2, c? 2 Let n = -86 - -147. Let s = n - 56. Which is the second smallest value? (a) 0 (b) -4 (c) s (d) -2/7 d Let n(m) = m**3 - 8*m**2 + 8*m - 4. Let k be n(7). Let y = -1 - k. Suppose -3*g + 4*g = 2. Which is the third smallest value? (a) 3 (b) y (c) g a Let z = -330.3 + 330.2. Let j = -11/2 + 16/3. Which is the second smallest value? (a) j (b) z (c) -1 a Let h = 48.9 - 48.952. What is the third smallest value in -0.2, -4, h, -2/3? -0.2 Suppose 0*h + h + 6 = 0. Let n be 8/(-10)*h/8. Let g = -3 - -8. What is the second smallest value in g, -2/5, n? n Let s = -2/149 - -308/745. What is the fourth smallest value in 1/4, -2/9, -0.08, s? s Let y = -11.5 - -11.7. What is the third smallest value in -1/6, y, 1, 8? 1 Let l = 101 - 99. Suppose l*i - 7 = -3*f, -2*f + i + 8 = 15. Which is the third smallest value? (a) -0.1 (b) -3 (c) f a Let k = -18355 - -18353. Let s = 0.1 + -0.1. Let z = 4/141 - 310/987. Which is the third smallest value? (a) s (b) k (c) z a Let c = -6 - -11. Let g = -31.7 - -31.3. What is the third biggest value in c, 1, -1/3, g? -1/3 Let q = 177 - 176.6. What is the third biggest value in -2, q, 0, -0.5? -0.5 Let g be ((-65)/(-260))/(-3 + 2). Let h be 51732/(-176) + 2/(-8). Let k = -294 - h. Which is the third biggest value? (a) k (b) g (c) 0.4 b Suppose -2*l = -y - 55, -l - y + 155 = 4*l. Suppose -13*x + 18*x = l. Let s = x + -10. What is the second biggest value in -5/4, s, 4? -5/4 Let w = -2.11 - -3.11. Which is the fourth smallest value? (a) -1 (b) 3 (c) -3 (d) w b Suppose 14*z - 17*z = -45. Let h be (-7)/((-7)/(-18)) + 0. Let x be (h/16)/(z/(-20)). Which is the second smallest value? (a) 3 (b) -1 (c) x c Let g be 210/680 - 2/8. What is the second biggest value in -4, -3, -0.5, g? -0.5 Let j = 45 - 131/3. Let q = 0.57 + -0.07. Let l be 2*(45/(-21) - -2). Which is the second biggest value? (a) j (b) l (c) q c Let b(u) = -u**2 - 19*u + 7. Let l be b(-19). Suppose -12 = -13*f +
{ "pile_set_name": "DM Mathematics" }
in 1330.871mm? 1330871 How many decades are there in 1.832163 years? 0.1832163 How many millilitres are there in 353389.7l? 353389700 What is thirteen quarters of a litre in millilitres? 3250 What is three sixteenths of a millennium in months? 2250 How many millilitres are there in 74/5 of a litre? 14800 How many kilometers are there in 80.2361cm? 0.000802361 Convert 527.7726 days to microseconds. 45599552640000 How many millilitres are there in 0.1989357l? 198.9357 How many micrograms are there in 4957.918g? 4957918000 What is 3/5 of a micrometer in nanometers? 600 What is 0.966087 kilograms in micrograms? 966087000 How many centimeters are there in 0.5999343m? 59.99343 How many years are there in 7.562859 months? 0.63023825 What is eleven quarters of a litre in millilitres? 2750 How many millilitres are there in 75.52573 litres? 75525.73 Convert 604.5203 microseconds to milliseconds. 0.6045203 What is three fifths of a litre in millilitres? 600 What is 27/5 of a decade in years? 54 How many kilograms are there in one twentieth of a tonne? 50 How many meters are there in 494.5701km? 494570.1 How many litres are there in 6.059876ml? 0.006059876 What is 13/4 of a millennium in months? 39000 What is 285634.6nm in meters? 0.0002856346 Convert 7797.647nm to meters. 0.000007797647 What is 0.5088963 kilograms in grams? 508.8963 What is 47338.28 millilitres in litres? 47.33828 How many months are there in 68.49479 years? 821.93748 What is 28.86783 months in centuries? 0.024056525 How many millilitres are there in 33/5 of a litre? 6600 What is 85.36001cm in nanometers? 853600100 What is three tenths of a kilogram in grams? 300 How many nanometers are there in 2/125 of a micrometer? 16 What is 594774.4s in nanoseconds? 594774400000000 What is seventy-two fifths of a milligram in micrograms? 14400 Convert 947.45 litres to millilitres. 947450 How many micrograms are there in 7658.577kg? 7658577000000 How many millennia are there in 4343.658 centuries? 434.3658 Convert 0.042395 tonnes to micrograms. 42395000000 Convert 6739.77 milligrams to tonnes. 0.00000673977 What is 9297361.71 microseconds in weeks? 0.000015372621875 How many millilitres are there in 874.9225 litres? 874922.5 What is 901.9698 millennia in years? 901969.8 What is 0.8528196 micrometers in meters? 0.0000008528196 How many millimeters are there in 37/2 of a centimeter? 185 How many micrograms are there in 190.4185t? 190418500000000 What is 7/4 of a decade in months? 210 What is fifty-nine fifths of a millennium in centuries? 118 What is 328.4663 kilometers in meters? 328466.3 How many milligrams are there in 54/5 of a gram? 10800 What is 11/10 of a day in minutes? 1584 Convert 2.3525784 months to centuries. 0.001960482 What is 742.9408l in millilitres? 742940.8 How many millimeters are there in 518.2907 nanometers? 0.0005182907 Convert 952.054cm to millimeters. 9520.54 What is twenty-seven fifths of a century in years? 540 How many centimeters are there in 3/16 of a kilometer? 18750 How many milligrams are there in 13973.68ug? 13.97368 How many months are there in 0.4723775 millennia? 5668.53 How many nanometers are there in 85282.72 meters? 85282720000000 How many months are there in 7/4 of a year? 21 What is 13/4 of a litre in millilitres? 3250 What is thirteen quarters of a millimeter in micrometers? 3250 How many decades are there in 26/5 of a millennium? 520 Convert 62.94068ml to litres. 0.06294068 How many months are there in 2.12713 decades? 255.2556 Convert 0.281705 tonnes to nanograms. 281705000000000 What is 3.308426 millennia in centuries? 33.08426 Convert 79678.54ml to litres. 79.67854 What is 3/16 of a millennium in months? 2250 How many milligrams are there in one quarter of a gram? 250 What is 33.06576l in millilitres? 33065.76 What is 933.0107ml in litres? 0.9330107 How many milligrams are there in 21/8 of a gram? 2625 What is one twentieth of a microgram in nanograms? 50 How many seconds are there in 11/2 of a hour? 19800 What is 95.56809us in nanoseconds? 95568.09 What is eleven eighths of a tonne in kilograms? 1375 What is 13/5 of a gram in milligrams? 2600 What is 1/4 of a day in minutes? 360 What is 45/2 of a litre in millilitres? 22500 What is 21/4 of a minute in seconds? 315 Convert 502667.91ms to days. 0.005817915625 What is 427751.1 grams in tonnes? 0.4277511 Convert 205.6406 millennia to months. 2467687.2 Convert 0.9350775 microseconds to minutes. 0.000000015584625 Convert 0.0323361 hours to milliseconds. 116409.96 What is 119533.6nm in micrometers? 119.5336 How many seconds are there in 1/15 of a minute? 4 What is 1/4 of a meter in centimeters? 25 How many milligrams are there in 52.03068ug? 0.05203068 What is 27/4 of a litre in millilitres? 6750 How many micrometers are there in 3/10 of a millimeter? 300 What is 928.9647 centuries in decades? 9289.647 Convert 7125.994 millennia to years. 7125994 What is ten thirds of a week in hours? 560 How many minutes are there in one sixth of a hour? 10 What is 13/5 of a millennium in years? 2600 What is 13714.29 centuries in decades? 137142.9 How many microseconds are there in 15/4 of a millisecond? 3750 How many kilometers are there in 603.02 micrometers? 0.00000060302 What is 2/125 of a litre in millilitres? 16 How many seconds are there in twenty-nine sixths of a minute? 290 What is 0.3548836mm in kilometers? 0.0000003548836 Convert 2251.676 weeks to seconds. 1361813644.8 Convert 47652.92 litres to millilitres. 47652920 What is 1.582364 litres in millilitres? 1582.364 How many centimeters are there in 1/4 of a kilometer? 25000 How many millimeters are there in 8.19514 centimeters? 81.9514 What is 65.9573 decades in months? 7914.876 What is three eighths of a kilogram in grams? 375 Convert 0.7251724mg to nanograms. 725172.4 How many centuries are there in 1.9589862 months? 0.0016324885 Convert 94013.64 seconds to milliseconds. 94013640 What is twenty-five halves of a hour in minutes? 750 What is 0.940154 litres in millilitres? 940.154 Convert 20.2685ms to seconds. 0.0202685 How many micrograms are there in 56585.39kg? 56585390000000 How many millilitres are there in three tenths of a litre? 300 How many minutes are there in 16/9 of a week? 17920 What is 6/5 of a meter in centimeters? 120 What is 79.47156ml in litres? 0.07947156 How many months are there in eighteen fifths of a century? 4320 What is 936.6385 hours in microseconds? 3371898600000 How many kilograms are there in 9785.393 tonnes? 9785393 What is fourty-six fifths of a day in minutes? 13248 How many millimeters are there in 5750.37nm? 0.00575037 How many millimeters are there in fifteen quarters of a meter? 3750 How many millimeters are there in eleven eighths of a meter? 1375 How many tonnes are there in 7844.955 milligrams? 0.000007844955 How many nanoseconds are there in 8.13034 minutes? 487820400000 How many months are there in 4.135265 centuries? 4962.318 How many millimeters are there in one tenth of a meter? 100 How many meters are there in 5238.05 kilometers? 5238050 Convert 276985.5ug to milligrams. 276.9855 How many kilograms are there in 3/40 of a tonne? 75 How many weeks are there in 70.0788753ms? 0.00000011587115625 What is 558.5399 litres in millilitres? 558539.9 How many microseconds are there in 1.80063 days? 155574432000 How many meters are there in 0.8152723nm? 0.0000000008152723 Convert 2.355239 centuries to months. 2826.2868 What is 3/7 of a week in hours? 72 How many centuries are there in 17/2 of a millennium? 85 Convert 99.05127ug to milligrams. 0.09905127 What is thirty-one halves of a litre in millilitres? 15500 How many millilitres are there in 34885.16l? 34885160 How many micrometers are there in eleven eighths of a millimeter? 1375 How many millilitres are there in 11/2 of a litre? 5500 What is 293.6603 grams in nanograms? 293660300000 How many micrometers are there in 1/5 of a centimeter? 2000 Convert 37858.44nm to millimeters. 0.03785844 How many micrometers are there in one tenth of a centimeter? 1000 How many decades are there in one fifth of a century? 2 What is 18/5 of a meter in centimeters? 360 How many kilograms are there in 27/4 of a tonne? 6750 Convert 0.061403 litres to millilitres. 61.403 Convert 75.1336ns to micro
{ "pile_set_name": "DM Mathematics" }
3185 What is 1062 divided by -354? -3 Divide 28 by -99. -28/99 -449 divided by 5 -449/5 Divide 4325 by 173. 25 Calculate -2 divided by -48. 1/24 -1222 divided by 2 -611 Divide 4808 by -4. -1202 Divide 414 by -207. -2 Calculate -2172 divided by -6. 362 -2099 divided by -2 2099/2 What is -6 divided by 4223? -6/4223 Calculate -3 divided by 935. -3/935 What is 4075 divided by 25? 163 128 divided by -5 -128/5 -1365 divided by -4 1365/4 What is 8289 divided by -27? -307 Calculate 1 divided by 3. 1/3 116 divided by 4 29 -16014 divided by -3 5338 Divide -5 by -101. 5/101 738 divided by -5 -738/5 What is 20 divided by 20? 1 Divide -34 by -189. 34/189 Divide 584 by 146. 4 Divide 12 by 15. 4/5 299 divided by -6 -299/6 -11526 divided by 6 -1921 What is 1938 divided by 1? 1938 What is 3 divided by 1610? 3/1610 -36 divided by 12 -3 What is 1578 divided by -1? -1578 What is 1054 divided by -11? -1054/11 What is 185 divided by -1? -185 131 divided by 3 131/3 Divide 342 by -6. -57 What is 3 divided by 3? 1 Calculate -5 divided by -1506. 5/1506 Divide -21616 by 3088. -7 208 divided by 5 208/5 -3385 divided by -677 5 Calculate -703 divided by -9. 703/9 Calculate -219 divided by 3. -73 4 divided by 189 4/189 Calculate 8170 divided by 8170. 1 Calculate -41 divided by -5. 41/5 130 divided by 5 26 What is 1152 divided by -6? -192 Calculate 77 divided by 11. 7 -551 divided by -19 29 0 divided by -48 0 Divide -6956 by 4. -1739 What is -142 divided by 3? -142/3 Divide -10560 by -110. 96 Calculate -1043 divided by -1. 1043 Calculate 2 divided by 974. 1/487 What is -8060 divided by -1612? 5 What is -1422 divided by 3? -474 -23 divided by -218 23/218 4257 divided by -43 -99 Divide -20 by -4. 5 -32 divided by 32 -1 Divide -292 by -3. 292/3 3 divided by -202 -3/202 Calculate 30710 divided by 74. 415 Divide -5 by -2194. 5/2194 698 divided by -2 -349 1876 divided by 6 938/3 Calculate -68 divided by 2. -34 Calculate -3662 divided by 2. -1831 Calculate 0 divided by -31. 0 Divide -37 by -56. 37/56 What is 0 divided by 195? 0 68394 divided by -2 -34197 What is -22016 divided by -86? 256 What is 27015 divided by -5? -5403 Divide -13652 by 4. -3413 Calculate -3 divided by 7973. -3/7973 -1210 divided by -7 1210/7 Calculate 2 divided by -321. -2/321 Calculate -480 divided by -2. 240 Divide 5583 by -4. -5583/4 4 divided by 5 4/5 What is -411 divided by -10? 411/10 Divide -6 by -4. 3/2 Calculate -1 divided by -407. 1/407 What is -7166 divided by -3? 7166/3 Calculate 244 divided by 4. 61 Calculate 384 divided by -8. -48 What is -2196 divided by 549? -4 Divide 30 by -13. -30/13 What is -9308 divided by -179? 52 Calculate 5 divided by 29. 5/29 What is -6 divided by -71? 6/71 -12330 divided by 5 -2466 Calculate -19 divided by -31. 19/31 Divide -7290 by -3. 2430 Calculate 1 divided by -52. -1/52 What is -10 divided by -17? 10/17 -575 divided by 25 -23 Divide -550 by -110. 5 What is 117 divided by 3? 39 Divide 2 by -77. -2/77 What is 24 divided by -22? -12/11 Divide -392 by -196. 2 Calculate 11712 divided by 192. 61 What is -128 divided by 32? -4 Divide -4725 by -3. 1575 Calculate -936 divided by 78. -12 -196 divided by 14 -14 -227 divided by -1 227 Divide -2 by -292. 1/146 Calculate 106 divided by -1. -106 Calculate -4 divided by -152. 1/38 Calculate 5696 divided by -4. -1424 What is -1800 divided by 200? -9 -42 divided by -6 7 Calculate 684 divided by -342. -2 Divide 3555 by -5. -711 1546 divided by -3 -1546/3 120 divided by 12 10 Calculate -4 divided by 8. -1/2 Divide 356 by -4. -89 Calculate -4872 divided by 8. -609 Divide 11 by -11. -1 What is 3008 divided by -3? -3008/3 1274 divided by -1 -1274 What is 3 divided by 172? 3/172 Calculate -4 divided by 108. -1/27 Divide -1859 by 143. -13 What is -2304 divided by -576? 4 Divide -3 by 2541. -1/847 What is -33 divided by -1? 33 What is -1852 divided by 2? -926 Divide 190 by 2. 95 -3360 divided by 32 -105 -578 divided by -3 578/3 Divide 27 by -4. -27/4 Divide 2376 by -264. -9 What is 5080 divided by 254? 20 -3 divided by -2076 1/692 -815 divided by 1 -815 Calculate 297 divided by 27. 11 What is 7 divided by -63? -1/9 Divide -1911 by -2. 1911/2 -3966 divided by 6 -661 2 divided by 317 2/317 -2 divided by -23 2/23 Calculate 273 divided by 91. 3 Calculate 1536 divided by 256. 6 Calculate 3128 divided by -1564. -2 Calculate 4 divided by -73. -4/73 Divide 145 by 3. 145/3 What is -3136 divided by 112? -28 Calculate 803 divided by -6. -803/6 What is 594 divided by -6? -99 What is 3 divided by 478? 3/478 Divide 120 by -20. -6 Divide -1872 by 468. -4 Divide 0 by -302. 0 Divide 127 by -5. -127/5 What is -669 divided by -223? 3 -1400 divided by -5 280 -9577 divided by -5 9577/5 Divide 308 by -22. -14 -5409 divided by 3 -1803 Divide -729 by 81. -9 Calculate 4 divided by 650. 2/325 Divide -105 by 15. -7 What is -254 divided by -1? 254 Divide 3564 by 4. 891 Divide -236 by -10. 118/5 Divide -160 by -70. 16/7 What is 570 divided by -57? -10 Divide -4956 by -118. 42 Calculate -76 divided by -4. 19 Calculate 3 divided by -76. -3/76 Calculate -615 divided by 41. -15 Divide -5488 by 2744. -2 -2098 divided by -2 1049 What is 63 divided by -8? -63/8 Divide -63708 by 6. -10618 Calculate 5300 divided by -5300. -1 Divide 9 by 14. 9/14 Calculate 153 divided by -4. -153/4 What is -16 divided by -16? 1 361 divided by -1 -361 What is 1053 divided by -2? -1053/2 61 divided by -29 -61/29 What is 38 divided by -3? -38/3 10 divided by 5 2 Divide -2000 by -5. 400 What is -22 divided by -4? 11/2 Calculate -3464 divided by 3464. -1 Calculate 119 divided by -6. -119/6 Divide -2 by -373. 2/373 4 divided by 22 2/11 Divide 3594 by 5. 3594/5 Divide 4630 by 463. 10 -5 divided by 3083 -5/3083 What is 439 divided by -10? -439/10 What is -207 divided by -2? 207/2 Divide -14025 by 6. -4675/2 Calculate -744 divided by 8. -93 Calculate 2426 divided by 1213. 2 Calculate 5 divided by 1989. 5/1989 -2 divided by -56 1/28 -93 divided by -6 31/2 -28 divided by 21 -4/3 What is -1 divided by -2058? 1/2058 -44 divided by -22 2 Calculate 831 divided by -2. -831/2 Divide 20 by -7. -20/7 Calculate 430 divided by 5. 86 What is 5 divided by 2377? 5/2377 Divide 2979 by -2979. -1 What is 1396 divided by -5? -1396/5 What is 1 divided by -10? -1/10 1 divided by -2425 -1/2425 Calculate 3740 divided by -55. -68 Calculate 6 divided by -1223. -6/1223 Calculate 14638 divided by 1126. 13 What is 2 divided by -404? -1/202 Divide 83856 by 4. 20964 What is -11 divided by -43? 11/43 Divide -96 by -6. 16 -1106 divided by 1 -1106 Calculate -5 divided by 366. -5/366 Divide -2032 by 4. -508 Calculate -16 divided by 10. -8/5 What is -9788 divided by 4? -2447 Calculate 2168 divided by 4. 542 Divide -54 by -6. 9 What is 93 divided by -93? -1 Calculate -16745 divided by 3349. -5 What is -159810 divided by 5? -31962 What is 522 divided by 261? 2 Calculate -4379 divided by 1. -4379 Divide 408 by 3. 136 Divide 648 by -54. -12 What is -2648 divided by 331? -8 Calculate 1974 divided by 658. 3 Divide -5 by 25. -1/5 -2415 divided by 483 -5 1381 divided by -1381 -1 Divide -180 by 60. -3 What is -1395 divided by 93? -15 Calculate 48 divided by 16. 3 -3016 divided by 754 -4 Divide 5 by -58. -5/58 What is 3348 divided by -2? -1674 Divide 1437 by 3. 479 -6004 divided by -38 158 Divide 27450 by 5490. 5 Calculate 2390 divided by -2. -1195 Divide 2199 by 1. 2199 232 divided by -6 -116/3 What is -3 divided by 1345? -3/1345 Calculate 4974 divided by 3. 1658 0 divided by 192 0 6 divided by 29 6/29 -4 divided by -269 4/269 What is 4 divided by -194? -2/97 Divide -6 by -68. 3/34 What is 5 divided by -234? -5/234 What is 2 divided by -388? -1/194 Calculate 3 divided by -1. -3 Divide 24 by -1. -24 124 divided by 4 31 -4 divided by 1 -4 Calculate -4 divided by -31. 4/31 What is -5 divided by 350? -1/70 Divide 13 by 9. 13/9 What is -4 divided by -1319? 4/1319 -15420 divided by -514 30 What is -102 divided by 2? -51 10602 divided by 114 93 What is -6752 divided by -1688? 4 Calculate -156 divided by -39. 4 Divide 1 by -1096. -1/1096 What is 60248 divided by 4? 15062 Calculate 0 divided by 824. 0 Divide 828 by 18. 46 What is 7 divided by -23? -7/23 Calculate 2754 divided by 12. 459/2 Calculate -2100 divided by 4. -525 6 divided by -52 -3/26 Calc
{ "pile_set_name": "DM Mathematics" }
chhccochccoch. 7/40 Two letters picked without replacement from fllglcbflb. What is prob of picking 1 l and 1 f? 8/45 Four letters picked without replacement from {x: 1, a: 2, l: 6, b: 2, d: 1}. What is prob of picking 1 x, 1 b, and 2 l? 2/33 Four letters picked without replacement from rrbrrbbrtbrrr. What is prob of picking 4 r? 14/143 Three letters picked without replacement from {v: 9, l: 9}. What is prob of picking 2 l and 1 v? 27/68 Four letters picked without replacement from tmttttkatmtta. What is prob of picking 2 t and 2 m? 28/715 What is prob of picking 3 l and 1 i when four letters picked without replacement from {i: 1, k: 1, l: 4, y: 2, t: 1}? 2/63 Two letters picked without replacement from {q: 9, b: 3, c: 1, n: 2, w: 4}. What is prob of picking 1 w and 1 q? 4/19 Two letters picked without replacement from pofoppofpt. What is prob of picking 1 t and 1 o? 1/15 Two letters picked without replacement from brbbrxsb. Give prob of picking 2 r. 1/28 Calculate prob of picking 1 c, 1 f, and 1 r when three letters picked without replacement from zycffrw. 2/35 Four letters picked without replacement from kqqdbkkqrqqrrk. Give prob of picking 2 k and 2 q. 60/1001 Calculate prob of picking 3 t when three letters picked without replacement from ttttttttteett. 15/26 Two letters picked without replacement from aaalabzauz. Give prob of picking 1 u and 1 z. 2/45 Two letters picked without replacement from mccrmou. Give prob of picking 2 c. 1/21 Calculate prob of picking 1 u and 2 f when three letters picked without replacement from fhuffnfnfffffffnxfff. 91/1140 Calculate prob of picking 1 y and 1 t when two letters picked without replacement from {c: 1, j: 2, i: 2, t: 3, y: 2, d: 2}. 1/11 Two letters picked without replacement from ggqq. Give prob of picking 1 q and 1 g. 2/3 Four letters picked without replacement from {j: 5, q: 3, s: 1, o: 3}. Give prob of picking 1 q and 3 j. 2/33 What is prob of picking 1 s and 2 a when three letters picked without replacement from {a: 2, m: 1, s: 4, d: 3}? 1/30 What is prob of picking 3 i and 1 y when four letters picked without replacement from {y: 6, i: 12}? 22/51 Three letters picked without replacement from {s: 7}. What is prob of picking 3 s? 1 Three letters picked without replacement from {u: 5, a: 1, v: 4}. Give prob of picking 2 u and 1 v. 1/3 What is prob of picking 2 v and 2 s when four letters picked without replacement from {s: 2, v: 9}? 6/55 What is prob of picking 2 k and 1 l when three letters picked without replacement from kjjlpjplxkjjhhjj? 1/280 Three letters picked without replacement from {o: 1, j: 4, g: 1, h: 5, t: 7, m: 2}. Give prob of picking 1 g, 1 h, and 1 j. 1/57 What is prob of picking 2 g when two letters picked without replacement from {k: 11, f: 5, m: 1, c: 1, g: 2}? 1/190 Four letters picked without replacement from {f: 7}. What is prob of picking 4 f? 1 Two letters picked without replacement from geeggeeeggeg. Give prob of picking 2 e. 5/22 Three letters picked without replacement from {r: 5, a: 5}. What is prob of picking 2 r and 1 a? 5/12 Two letters picked without replacement from llpbhrbrf. Give prob of picking 1 r and 1 p. 1/18 Two letters picked without replacement from {u: 2, a: 2, d: 1, j: 4}. Give prob of picking 1 a and 1 u. 1/9 Two letters picked without replacement from {z: 1, m: 5, i: 2, q: 1}. What is prob of picking 1 z and 1 i? 1/18 What is prob of picking 2 f and 1 k when three letters picked without replacement from kfkfkk? 1/5 Two letters picked without replacement from {d: 3, g: 2, i: 6, k: 4}. What is prob of picking 2 g? 1/105 Three letters picked without replacement from {l: 9, q: 1, v: 2, u: 2}. Give prob of picking 1 l, 1 v, and 1 q. 9/182 Calculate prob of picking 3 m when three letters picked without replacement from eeeeeemeemmeeeee. 1/560 Three letters picked without replacement from {k: 4, s: 2}. Give prob of picking 2 k and 1 s. 3/5 What is prob of picking 2 t and 1 c when three letters picked without replacement from {t: 3, z: 1, p: 3, c: 3}? 3/40 Four letters picked without replacement from {i: 1, n: 2, g: 1, w: 2, x: 1, o: 1}. Give prob of picking 1 w, 1 o, and 2 n. 1/35 Four letters picked without replacement from {w: 4, k: 2, d: 1, e: 2, i: 4, g: 1}. Give prob of picking 1 k, 2 w, and 1 e. 24/1001 Calculate prob of picking 1 x, 2 p, and 1 s when four letters picked without replacement from xsxpgpgegpesessp. 12/455 Two letters picked without replacement from vhhvh. What is prob of picking 2 h? 3/10 Two letters picked without replacement from {e: 2, j: 1, s: 2, u: 1}. What is prob of picking 1 e and 1 j? 2/15 Calculate prob of picking 3 y when three letters picked without replacement from {m: 5, y: 11}. 33/112 What is prob of picking 2 x and 1 h when three letters picked without replacement from {x: 1, h: 2, c: 1}? 0 Three letters picked without replacement from vvzzcpzvvzvpcdzvzpv. Give prob of picking 1 c, 1 v, and 1 p. 14/323 Calculate prob of picking 2 u, 1 l, and 1 i when four letters picked without replacement from {v: 4, l: 2, h: 5, i: 5, u: 3}. 5/646 Calculate prob of picking 2 h and 2 c when four letters picked without replacement from hvnchcahh. 1/21 Three letters picked without replacement from {o: 1, x: 1, d: 1, v: 1, f: 1}. What is prob of picking 1 o, 1 x, and 1 d? 1/10 Three letters picked without replacement from {g: 2, f: 2}. What is prob of picking 1 f and 2 g? 1/2 Three letters picked without replacement from {k: 3, o: 5, t: 2}. Give prob of picking 1 t and 2 k. 1/20 Calculate prob of picking 1 m, 1 k, and 2 w when four letters picked without replacement from kmwudowk. 1/35 What is prob of picking 3 i when three letters picked without replacement from viivsqiavial? 1/55 What is prob of picking 1 f and 2 v when three letters picked without replacement from fvffffffvvfffvvvfff? 65/323 Calculate prob of picking 1 l, 2 t, and 1 q when four letters picked without replacement from {d: 7, t: 2, l: 1, q: 4}. 4/1001 Calculate prob of picking 2 j and 2 u when four letters picked without replacement from kukkkwwkwujjuukku. 1/238 Four letters picked without replacement from {n: 3, i: 7, g: 3}. What is prob of picking 1 g and 3 i? 21/143 What is prob of picking 1 w and 1 n when two letters picked without replacement from awwnwwwawawta? 7/78 Four letters picked without replacement from {d: 6, u: 7}. Give prob of picking 2 u and 2 d. 63/143 Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {g: 2, i: 2, b: 2, w: 2}. 1/7 Four letters picked without replacement from caacdcccccccccccc. What is prob of picking 3 c and 1 a? 26/85 Calculate prob of picking 1 s and 1 z when two letters picked without replacement from {b: 1, s: 1, z: 1}. 1/3 Two letters picked without replacement from {n: 2, s: 16}. Give prob of picking 2 s. 40/51 Three letters picked without replacement from {z: 7, n: 3}. Give prob of picking 3 n. 1/120 Two letters picked without replacement from {f: 4, a: 5, e: 1, v: 1, n: 3}. Give prob of picking 1 v and 1 e. 1/91 What is prob of picking 1 s and 1 z when two letters picked without replacement from {l: 1, m: 2, z: 1, s: 2, x: 1, d: 1}? 1/14 Two letters picked without replacement from {g: 3, a: 11}. What is prob of picking 1 a and 1 g? 33/91 Calculate prob of picking 1 l and 1 f when two letters picked without replacement from flz. 1/3 Three letters picked without replacement from vvwiiliwsiwiv. Give prob of picking 2 i and 1 l. 5/143 Two letters picked without replacement from {y: 3, r: 1, i: 6, w: 3}. Give prob of picking 2 i. 5/26 What is prob of picking 2 q and 2 m when four letters picked without replacement from {m: 5, q: 3}? 3/7 Two letters picked without replacement from {j: 9, x: 5}. What is prob of picking 2 j? 36/91 What is prob of picking 1 r, 2 h, and 1 t when four letters picked without replacement from {d: 4, r: 8, t: 2, h: 3}? 12/595 What is prob of picking 4 a when four letters picked without replacement from auauaaaauuaaaa? 30/143 Three letters picked without replacement from bmbmmbbbj. What is prob of picking 1 b, 1 m, and 1 j? 5/28 Four letters picked without replacement from {o: 7, h: 7}. What is prob of picking 4 o? 5/143 Calculate prob of picking 4 f when four letters p
{ "pile_set_name": "DM Mathematics" }
inder when 4281 is divided by 199? 102 What is the remainder when 32700 is divided by 573? 39 Calculate the remainder when 3612 is divided by 144. 12 What is the remainder when 8078 is divided by 80? 78 Calculate the remainder when 123982 is divided by 30993. 10 Calculate the remainder when 9501 is divided by 158. 21 What is the remainder when 221924 is divided by 44? 32 What is the remainder when 76301 is divided by 274? 129 What is the remainder when 20566 is divided by 242? 238 Calculate the remainder when 354 is divided by 17. 14 Calculate the remainder when 11834 is divided by 89. 86 What is the remainder when 16751 is divided by 12? 11 Calculate the remainder when 8521 is divided by 1905. 901 What is the remainder when 9987 is divided by 219? 132 Calculate the remainder when 13776 is divided by 4. 0 What is the remainder when 1131432 is divided by 261? 258 What is the remainder when 6410 is divided by 83? 19 Calculate the remainder when 33966 is divided by 33943. 23 Calculate the remainder when 20934 is divided by 43. 36 What is the remainder when 2705 is divided by 51? 2 Calculate the remainder when 34722 is divided by 457. 447 What is the remainder when 15492 is divided by 3074? 122 What is the remainder when 10282 is divided by 3414? 40 What is the remainder when 4966 is divided by 86? 64 What is the remainder when 3013718 is divided by 59? 57 What is the remainder when 10829 is divided by 50? 29 What is the remainder when 213216 is divided by 679? 10 Calculate the remainder when 130899 is divided by 10908. 3 Calculate the remainder when 11629 is divided by 580. 29 Calculate the remainder when 597536 is divided by 69. 65 What is the remainder when 140254 is divided by 46748? 10 What is the remainder when 48456 is divided by 411? 369 Calculate the remainder when 341479 is divided by 1626. 19 What is the remainder when 6196 is divided by 767? 60 Calculate the remainder when 10692987 is divided by 385. 382 Calculate the remainder when 1145255 is divided by 572618. 19 What is the remainder when 8814 is divided by 563? 369 Calculate the remainder when 987305 is divided by 74. 71 What is the remainder when 2743 is divided by 34? 23 Calculate the remainder when 37908 is divided by 90. 18 What is the remainder when 4125 is divided by 553? 254 Calculate the remainder when 9392892 is divided by 1845. 1842 Calculate the remainder when 78767 is divided by 1212. 1199 Calculate the remainder when 81800 is divided by 3714. 92 What is the remainder when 23027 is divided by 1142? 187 Calculate the remainder when 2389 is divided by 2382. 7 What is the remainder when 43405 is divided by 6182? 131 Calculate the remainder when 786 is divided by 500. 286 Calculate the remainder when 25612 is divided by 366. 358 Calculate the remainder when 67115 is divided by 35. 20 What is the remainder when 1496 is divided by 123? 20 Calculate the remainder when 3206 is divided by 1450. 306 Calculate the remainder when 372095 is divided by 1597. 1591 What is the remainder when 5142 is divided by 285? 12 Calculate the remainder when 17263 is divided by 40. 23 What is the remainder when 1285 is divided by 388? 121 Calculate the remainder when 304318 is divided by 59. 55 What is the remainder when 9096 is divided by 87? 48 What is the remainder when 819993 is divided by 138? 135 What is the remainder when 18242 is divided by 468? 458 Calculate the remainder when 1323 is divided by 356. 255 Calculate the remainder when 755 is divided by 86. 67 Calculate the remainder when 1224 is divided by 593. 38 What is the remainder when 647118 is divided by 89? 88 Calculate the remainder when 5052 is divided by 720. 12 Calculate the remainder when 1247 is divided by 922. 325 Calculate the remainder when 118853 is divided by 358. 355 What is the remainder when 3364703 is divided by 144? 143 What is the remainder when 114573 is divided by 113? 104 Calculate the remainder when 569304 is divided by 1037. 1028 Calculate the remainder when 5915 is divided by 563. 285 Calculate the remainder when 7266 is divided by 726. 6 Calculate the remainder when 1566 is divided by 128. 30 Calculate the remainder when 48646 is divided by 1036. 990 What is the remainder when 1370 is divided by 438? 56 What is the remainder when 2210 is divided by 37? 27 What is the remainder when 12327 is divided by 752? 295 Calculate the remainder when 16723 is divided by 162. 37 What is the remainder when 31150 is divided by 28? 14 What is the remainder when 164989 is divided by 82489? 11 What is the remainder when 17676 is divided by 261? 189 What is the remainder when 834264 is divided by 21? 18 Calculate the remainder when 47576 is divided by 66. 56 Calculate the remainder when 116216 is divided by 99. 89 What is the remainder when 352249 is divided by 1061? 1058 Calculate the remainder when 2796 is divided by 57. 3 What is the remainder when 445659 is divided by 7? 4 What is the remainder when 1074037 is divided by 30? 7 Calculate the remainder when 9126 is divided by 3029. 39 What is the remainder when 22507 is divided by 374? 67 Calculate the remainder when 62986 is divided by 41. 10 Calculate the remainder when 59409 is divided by 14851. 5 Calculate the remainder when 96653 is divided by 8053. 17 Calculate the remainder when 171231 is divided by 1134. 1131 Calculate the remainder when 146518 is divided by 18. 16 What is the remainder when 248153 is divided by 354? 353 Calculate the remainder when 9726 is divided by 31. 23 Calculate the remainder when 1131 is divided by 358. 57 Calculate the remainder when 100845 is divided by 132. 129 What is the remainder when 214760 is divided by 250? 10 Calculate the remainder when 26371 is divided by 5239. 176 What is the remainder when 5477 is divided by 5476? 1 What is the remainder when 1720 is divided by 453? 361 What is the remainder when 63715 is divided by 352? 3 What is the remainder when 4369 is divided by 1930? 509 What is the remainder when 17842 is divided by 17818? 24 Calculate the remainder when 21085 is divided by 49. 15 Calculate the remainder when 46742 is divided by 11677. 34 Calculate the remainder when 367937 is divided by 550. 537 What is the remainder when 52985 is divided by 276? 269 What is the remainder when 60869 is divided by 14? 11 What is the remainder when 3968 is divided by 3843? 125 Calculate the remainder when 8166 is divided by 151. 12 What is the remainder when 41096 is divided by 3424? 8 What is the remainder when 4291 is divided by 435? 376 What is the remainder when 5602781 is divided by 14? 9 Calculate the remainder when 193579 is divided by 16128. 43 What is the remainder when 3325 is divided by 568? 485 Calculate the remainder when 123 is divided by 28. 11 What is the remainder when 19763 is divided by 1317? 8 What is the remainder when 148881 is divided by 132? 117 What is the remainder when 105208 is divided by 197? 10 What is the remainder when 13689 is divided by 29? 1 Calculate the remainder when 189767 is divided by 10. 7 What is the remainder when 144762 is divided by 144708? 54 What is the remainder when 145320 is divided by 102? 72 Calculate the remainder when 288369 is divided by 15. 9 Calculate the remainder when 12271 is divided by 2596. 1887 Calculate the remainder when 581 is divided by 53. 51 Calculate the remainder when 731919 is divided by 243973. 0 What is the remainder when 7565 is divided by 11? 8 Calculate the remainder when 33875 is divided by 1539. 17 What is the remainder when 18255 is divided by 326? 325 What is the remainder when 327515 is divided by 114? 107 Calculate the remainder when 1610340 is divided by 34. 32 What is the remainder when 51869 is divided by 131? 124 Calculate the remainder when 1449 is divided by 119. 21 What is the remainder when 25816 is divided by 13? 11 What is the remainder when 79207 is divided by 445? 442 Calculate the remainder when 2240 is divided by 74. 20 Calculate the remainder when 4437 is divided by 453. 360 What is the remainder when 5222 is divided by 158? 8 What is the remainder when 42147 is divided by 42056? 91 Calculate the remainder when 86445 is divided by 46. 11 What is the remainder when 33530 is divided by 1396? 26 Calculate the remainder when 54684 is divided
{ "pile_set_name": "DM Mathematics" }
11)*l)/l)/l*l) assuming l is positive. l**(-211/22) Simplify ((((((c*c**(-4/11))/c)/c)/c)/c**(-2/43))/(c*(c*c/c**(8/11))/c*c**(-7)))**(5/9) assuming c is positive. c**(8065/4257) Simplify (q**(2/33)/(q/(q*q/(q**(2/11)*q))))**(-10/13)/((q**(-6)*q/(q*q/(q/q**(-2/3))))/(q*q/(q/(q*(q*q**(-1)*q)/q))*q)**(-1/3)) assuming q is positive. q**(633/143) Simplify ((s**(9/5))**22*s**33*s**(2/13))**35 assuming s is positive. s**(33103/13) Simplify l**(1/3)/(l/(l/(l/l**(-5/2))))*l**(-2/5)*l/(l**2/l)*(l/(l/(l*l**0)*l*l))**(-16)*(l**(2/17)*l)/l**3 assuming l is positive. l**(5381/510) Simplify (s**(-2)/s*s*s/s**(-2))**36*((s*s*s*s*(s**(-2/11)*s)/s*s*s*s)/s**(-1/2))/((s*(s*s**(-5)*s)/s*s*s)/s**(-1/5)) assuming s is positive. s**(4853/110) Simplify ((j/(j*j*j*j/(j*j*j*j**(-1/5))*j)*j*j**3)/(j**(2/7))**18)/(j**8*j*j**1*(j**(-2/7))**(1/16)) assuming j is positive. j**(-493/40) Simplify ((a**(-11)/a*a*a**(-2))/(((a**(3/8)/a*a*a)/a)/a)**(2/29))**(2/5) assuming a is positive. a**(-1503/290) Simplify ((k/k**(-2/9))**(4/9)/(k**16*k**(10/9)))**36 assuming k is positive. k**(-5368/9) Simplify ((k**(2/7)*k**0)/((k/k**(2/3))/(k/(k*k*k*k/k**(2/13)*k))))/(((k/(k**6/k))/k*k)/(k/k**(3/8))*k**(-2)/k**(4/7)) assuming k is positive. k**(7213/2184) Simplify (((p**7/p)/(p*((p/p**(1/9))/p)/p))/(p*((p/p**(-26))/p)/p*p*p/p**(6/7)*p))**(-1/3) assuming p is positive. p**(1388/189) Simplify (x/(x**(3/5)*x))/(x/(((x/(x*x/x**(-1/4))*x)/x)/x))*x**6*x**(-3)*(x**(2/3)*x*x**(-2/11))**(-2/17) assuming x is positive. x**(-11497/11220) Simplify (((k**(-2)*k**(-4)/k)/((k**(4/3)/k)/(k/(k**(-1)/k))))**(9/5))**46 assuming k is positive. k**(-1794/5) Simplify (r**(-5)*r*r**(-5))/(r**(1/7)/r**1)*(((r*r**(3/4))/r)/r**(4/7))**(2/63) assuming r is positive. r**(-7177/882) Simplify ((u/u**(-1/2))**(-20)*(u**(-1)/u)**(-1/10))/((u*u**(-1)*u/u**(-3/8))/(u**4/(u/(u*u**5/u)))) assuming u is positive. u**(-927/40) Simplify (v/v**(-1/9)*v*v**5)/(v**(-1/4)/(((v*v**(2/13))/v)/v))*v**(1/3)/(v/(v*v**(-2)*v))*v*(v*((v**0*v)/v)/v)/v*v**(-2/7) assuming v is positive. v**(18223/3276) Simplify (((v/(v*v**(2/3)))/v)**(-32/7))**(-5/17)*((v/v**(-8/3))/v**(-1/7))**(-1/31) assuming v is positive. v**(-8720/3689) Simplify (p**3/((p**(2/7)/p)/p))/(((p**(-2/5)/p*p*p)/p)/p**(-4))*(p*p**0)**(-26)/(p**4/p**6) assuming p is positive. p**(-801/35) Simplify (((t*t**2/t*t)/t*t)**(1/4)/(t**(-1/6))**(24/5))**43 assuming t is positive. t**(1333/20) Simplify ((w**(-1/8)/w**0)/(w*w**1*w*w/(w**(-1)*w)))/((w/(w/w**(-1/3)))**6)**(-40) assuming w is positive. w**(-673/8) Simplify ((((k**(-2)*k)/(k**(1/49)/k))**(-1/4))**(1/4))**(-5/2) assuming k is positive. k**(-5/1568) Simplify (x/(x**(-14)/x))**(1/79)*(x**4)**(35/3) assuming x is positive. x**(11108/237) Simplify (u**(-5)/((u**2/u)/u))/((u/(u/u**(-5/4)))/(u*u**(3/2)))*(u/(u*u/(u**0*u)))**31*(u*u/(u**(-7)*u))/(u*(u*u**(-1)*u)/u*u) assuming u is positive. u**(19/4) Simplify (b**(1/5)*b**(1/2)*b**(4/5)/b**(-1/2))/((b**(-1))**(-50)*((b/(((b*b**(-2/3))/b)/b))/b)**(-36)) assuming b is positive. b**12 Simplify ((s/(s**2*s))/s**(-3/5)*s**(-2/11)*s/(s*((s/(s/(s*s**(-6))))/s)/s)*s)/(s**(-10)/s*s**(-1/3)*s)**(-1/74) assuming s is positive. s**(76661/12210) Simplify (((o/o**(-2/7))/o**(-2/5))/((o*o**(3/8)*o)/(o*o**6)))/((o**(1/3)/o)**(-7/4))**5 assuming o is positive. o**(401/840) Simplify ((t**(-14)*t**19)/((t*t*t**28*t*t)/t**(2/27)))**(-23) assuming t is positive. t**(16721/27) Simplify (a**(-44)/(a*((a/(a*a**(-2/9)))/a)/a))/(a/a**(-22)*a**(-45)) assuming a is positive. a**(-191/9) Simplify ((j**6/j**(-3/4)*(j/(j/(j/(j/(j**(-3/8)/j)))))/j*j*j/(j*j**(-4/5)))**19)**35 assuming j is positive. j**(32851/8) Simplify (m/(m*m**(-2)))/(m**(-18)*m)*m**40*m/(m/m**23)*m assuming m is positive. m**83 Simplify ((n/(n/(n*n**(-6/7)))*n*n)/n**(-1))/(n*n**(-7)*n*n**(-2/3)*n)*(n**(-8)/n)/(n**5*n)*(n*n/(n/n**7)*n*n*n)/((n*n/n**4)/n) assuming n is positive. n**(143/21) Simplify ((s/s**3)/(s*s**(-2/19)))/((s**(-1)/s)/(s*s**(-8)))*((s/(s**(-8)/s))/(s/s**5))**48 assuming s is positive. s**(12618/19) Simplify (c**(-1))**12*(c**1)**(11/6)*(c*c**3*c*c*c**(-5))**(-31) assuming c is positive. c**(-247/6) Simplify ((p/p**(-3)*p**(4/7)*p)/(p/(p/(p*p**(-2/15)/p*p)))**(-1/4))**(11/5) assuming p is positive. p**(26741/2100) Simplify ((z**(-3/2))**(1/9)/(z*z**(1/4)*z)**44)**26 assuming z is positive. z**(-7735/3) Simplify (((f/((f*f/(f/(f**(-2/19)/f)))/f))/f)/f**(-3))/((f*f**(-1/4)*f)/f**6)*f/f**(2/11)*f*f*f**2*(f**0)**(1/11) assuming f is positive. f**(11013/836) Simplify (((d**(2/27))**(-31/2))**(-16))**(-15/8) assuming d is positive. d**(-310/9) Simplify (g/g**(1/3))**(-35)*g**7*g**1/g*(g**8*g*g**(2/11)/g)/(((g/g**(1/5))/g)/g)**(1/97) assuming g is positive. g**(-130267/16005) Simplify ((r*r**(-3/7))**(-25)/(r**(-6/5)*r/(r/r**(13/2))))**(-2/21) assuming r is positive. r**(457/245) Simplify (f**(6/7)*f**23/f*f**(-38)*f*f*f**19)**12 assuming f is positive. f**(492/7) Simplify (a/(a*a/(a/a**(-13))))**(-23)/(a/((a*a**(-1/6)/a)/a)*a)**(-1/38) assuming a is positive. a**(-3587/12) Simplify ((z**(3/8)*z**(-2))/(z**(1/3)*z**(-2/7)))/((z/z**1*z)**16*z**7*z/(z*z*z**(1/4)*z)*z*z) assuming z is positive. z**(-4103/168) Simplify (h*h*h**5*h*h**(3/5)/h)**(2/7)*((h/(h*h/((h/h**0)/h)))/(h**(1/10)/h))**(-2) assuming h is positive. h**(83/35) Simplify ((z**(-5)/(z*z**5/z))/(z**(2/5)/z)**(-25))/(z**(1/9)/z**(-2/17)*z**(2/17)/z**(2/7)) assuming z is positive. z**(-26840/1071) Simplify ((c*c**(-1))/(((c/c**(-3/5)*c*c)/c)/c))**(1/13)*((c**(1/4)*c*c)**(-18/5))**(-1/19) assuming c is positive. c**(749/2470) Simplify (r*r**7*r*r**(-5/4))/(r**7*r/(r/r**(5/3))*r)*(r/(r*(r/(r*r**(-2/13)))/r)*r)/r**(-3/7)*(r**(1/3))**(-10) assuming r is positive. r**(-1083/364) Simplify ((l**(4/5)*l*l/l**3*l**(-7)*l*l*l*l**(-3/4))**(4/17))**(2/7) assuming l is positive. l**(-198/595) Simplify (v**7/(v*v/(v**(4/7)*v)*v)*(v**5/v)/(v/(v*v**(-3/8))))/((v**(3/7)/v)/v**(-2/5)*v**(-1/12)*v**(-1/5)*v) assuming v is positive. v**(7267/840) Simplify (((f**(1/6)*f*f)/(f**(2/23)/f))/(f/(f*f**1)*f/f**(-4)))/((f/(f/(f/f**2*f)))/(f/(f/(f**(2/7)/f)*f))*(f**(-1/2))**(-8/7)) assuming f is positive. f**(-3097/966) Simplify (h**30/h*h*h**22*(h**(3/4)*h)/h*((h/(h**11/h))/h)/h)**(-37) assuming h is positive. h**(-6179/4) Simplify ((y**(-3/8)/(y/y**27))/(y**(-7)/(y/(((y*y**(-3/31))/y)/y))))**(-4/15) assuming y is positive. y**(-8611/930) Simplify (((l**(5/6)/l)/l)/l**(-11)*(l/(l**(-1/6)*l))/l**18)**(-1/3) assuming l is positive. l**(8/3) Simplify ((((j**(2/3)*j)/j*j)/(j/(j*j**(-5)/j)))/(j**8*(j**(2/11)*j)/j))/(j*j**6*j**(1/14)*(j**1)**(-5)) assuming j is positive. j**(-6739/462) Simplify (s**5/s**(-6/17)*s**(-27)*s*s**(-23))**(-7/13) assuming s is positive. s**(5194/221) Simplify ((u**(-6/13)/(u/u**(-5)))/(u**2/(u**6*u)))**(-30) assuming u is positive. u**(570/13) Simplify ((((n**43)**(-49))**(-13))**10)**(-1/10) assuming n is positive. n**(-27391) Simplify (((d**(-1/10)/d)/((d**(3/17)*d)/d))/(d/d**(-1/2))**(-7/8))**11 assuming d is positive. d**(539/1360) Simplify ((v/v**(1/4))/(v**(-9)/v))/((v/v**(-4))/(v/(v*(v/v**(-1/2))/v)))*(v**(1/2))**42*v**(-2)*v*v*v/v**(2/11) assuming v is positive. v**(1191/44) Simplify (n/(n**(1/4)/n*n*n)*n*n**4*n)**(-1)*n**0/n**6*n**(2/3)/n**(-1/9) assuming n is positive. n**(-395/36) Simplify (a**(-24))**(11/8)*(a*(a**37/a)/a)/((a*a**(-15))/a) assuming a is positive. a**18 Simplify (((f**(-3/17)*f*((f*f/(f*f*f**(-5)))/f)/f*f*f)/(f/(f*f**(-2/9)*f))**(2/3))**3)**(27/5) assuming f is positive. f**(8733/85) Simplify (((j*j**8*j**6)**(-42))**(1/9))**49 assuming j is positive. j**(-3430) Simplify ((f**1)**41/(((f/((f*f/(f*f**(-2)/f))/f))/f)/f**(-2)))/((f/(f**(-3/2)*f)*f)/(f**1/f)*((f**(-1)/f)/f)**(-15)) assuming f is positive. f**(-11/2) Simplify (a**(-1/3)/(a/(a/(a*a*a**(-5)*a))))**17/(a**(-4)*a*(a*a**(1/3))/a)**27 assuming a is positive. a**(301/3) Simplify (r*r/(r*r**(-1)*r)*r*r**(-1/10))**18*(r*r/(r*r**0)*r*r)**(8/9)/(r**(-2)*r*r/(r*r/(r/r**(-2)))) assuming r is positive. r**(538/15) Simplify o**(-1)/o**(4/7)*(o**(-2/3))**(-18)*(o*o*o**(-5)*o**5)/(o**(-1))**(-2/29) assuming o is positive. o**(2509/203) Simplify ((((u*u**(1/2))/u)/u)**(-11)/(u**(-1/3))**11)/((u**0/(u*u**(1/2)))/((u*u/(u*u/(u*u**(2/5))*u)*u)/u*u/(u/(u**(-4/7)/u)))) assuming u is positive. u**(997/105) Sim
{ "pile_set_name": "DM Mathematics" }
4*g)/(g**(-1)*g))/(g**3*(g**(1/2)/g)/g)) assuming g is positive. g**(-25/2) Simplify (y**(-41))**(10/3)/(y**(-2/13)/y)**(14/3) assuming y is positive. y**(-5120/39) Simplify (i**(-1/4)*i*i*i**(-42)/i)/((i/(i/i**(-6/23)))/i)**(-44) assuming i is positive. i**(-8899/92) Simplify (w*w*w**1*w)**12*(w**(-3)/w)/w**(-3/4)*((w/(w/w**(5/2)))/w)/(w**0/w)*(w*w*w*(w*w/w**(-2/5))/w*w*w)/(w**(-6)/w*w*w) assuming w is positive. w**(1173/20) Simplify ((k*k/(k/(k/((k*k**(2/13))/k))*k)*k)**(-15))**(-2/57)*k/k**(-4)*k**(3/5)*(k**(-2/5))**(2/21) assuming k is positive. k**(169448/25935) Simplify (((f*f/(f**(1/15)/f))/(f*f**(1/14))*(f**(-2/5)/f*f*f)/((f**(-1)/f)/f*f))**(-2))**(-1/62) assuming f is positive. f**(937/6510) Simplify ((a**(-17)*a*a**(-1/10)/a*a)/((((a*a**29)/a)/a)/((a/(a/(a*a**(-4/3)*a)))/a)))**(13/6) assuming a is positive. a**(-17329/180) Simplify ((((i**(-7))**(-16))**4)**9)**42 assuming i is positive. i**169344 Simplify (b**(3/4)*((((b*b**(-2/3))/b)/b*b)/b)/b*b**17/(b*((b/b**(2/49))/b)/b))**12 assuming b is positive. b**(8893/49) Simplify (((h**(-3)/h**(-1))/((h*h**(-1/15))/h**(-1/5)))**(1/89))**32 assuming h is positive. h**(-1504/1335) Simplify ((m/(((m**(1/5)/m)/m)/m))**9)**(-4)*m**(1/8)/(m/m**(-2/3))*(m*m**7)/(m/m**(-8)) assuming m is positive. m**(-16721/120) Simplify (c**12/c*c/c**(-3/14)*((c/(c*c**(-1/16)*c*c))/c*c)**(4/5))**(2/7) assuming c is positive. c**(1493/490) Simplify (z**3/(z/(z*z**(-2))))**(-2/47)/((z**(1/2))**(-1/26)*z**(-5)/(z/(z**4*z))) assuming z is positive. z**(2387/2444) Simplify ((h**(1/35)/h**(-1/5))/(h**(-1/33)/(h**(25/3)*h)))**(3/37) assuming h is positive. h**(11079/14245) Simplify ((p**(4/9)*p*p**(-20/7)/p)/(p**(-24)/(p/(p/(p*p*p/p**(1/3))*p))))**50 assuming p is positive. p**(73250/63) Simplify (k**(-3)*k**(1/2))**(3/11)*(k**(-8)*k)/k*k**(-2/23)*(k/(k*k*k**5))/(k/(k/(k*k*(k*k**(-1/3)/k)/k*k*k*k*k))) assuming k is positive. k**(-29503/1518) Simplify (((x*x/(x/(x**(8/9)*x))*x)/(x/(x*x**(2/19))))/(x**(1/5)/(x**(-4)*x*x)))**37 assuming x is positive. x**(56758/855) Simplify (h/(h*h/((h/(h*(h/h**(2/13))/h))/h))*(h*h**(-16))/h*h**(-23)/h*h/((h/(h/h**(3/23)))/h))**45 assuming h is positive. h**(-537885/299) Simplify (b**(2/7))**(1/3)/(b**(-1))**(1/3)*(b/b**(-1))**44/(b**2)**(-9/5) assuming b is positive. b**(3221/35) Simplify (y**(8/9)*y/((y/(y/y**39))/y))/(y**(2/29)*(y**(-1/5)/y)/y) assuming y is positive. y**(-44344/1305) Simplify ((t*t/(t**(2/9)*t)*t)/(t*t*(t**(-3/8)/t)/t))/(t**(-1/4))**(-16)*(t*t**(2/7)/t)**46/((t/(t*t/t**(-2)))/t**(-5)) assuming t is positive. t**(4685/504) Simplify ((b*b**(-1))/b)**(-2/21)/((b**0/b)/b**(-5))*((b/b**(-1))**39)**(-31) assuming b is positive. b**(-50860/21) Simplify (t/(t/(t*t**(2/33)/t))*t)**(2/21)/(t*t*t**(-11/4))**(-6) assuming t is positive. t**(-871/198) Simplify ((((z**(-13)/z)/(z**(-12)/z))**(17/5))**24)**(-2) assuming z is positive. z**(816/5) Simplify (((v/v**2)**39/(v**(2/3)*v/(v**6/v)))**7)**1 assuming v is positive. v**(-749/3) Simplify (((o/o**(-6))/o*o/o**(-5))/((o**(-3/2)/o*o)/o**(-6)))/((o/(o/(o/o**1)))**11/(o/o**1*o*o/o**5*o*o*o)) assuming o is positive. o**(15/2) Simplify (p**(2/3)/(p**(-6)/p))**42*((p/(p/(p*p**(-4/3))))/(p*(p/(p**(3/2)/p))/p*p))**17 assuming p is positive. p**(1745/6) Simplify ((y**2)**28*y**(-1)*y/(y/((y**(-4)/y)/y)))/(((y*y/((y*y**(-2/9)/y*y)/y))/y**(-3))/(y**(-1))**(9/4)) assuming y is positive. y**(1495/36) Simplify (((x**(2/5)*x)/(x/(x/((x**(-17)*x)/x*x))))/(x**(3/5)/x*x*(x*x*(x**(-2)*x)/x)/x))**(2/7) assuming x is positive. x**(178/35) Simplify (k**5/k*k**(-5/2))**(-3/17)/(k**6*k/((k*k/((k*k*k*k**(9/5)*k)/k)*k)/k))**48 assuming k is positive. k**(-80013/170) Simplify ((y**(-3/5))**(-1/37)*(y/((y**(-4/7)/y)/y))/y**(-10))**(-2/11) assuming y is positive. y**(-35192/14245) Simplify ((x*x/(x**(-1/6)/x)*x*x*x**(-1/3))/(x/x**2*x**(2/11)))/(((((x**(-2/3)/x)/x)/x)/x)/x**(-2/11)*(x/x**1)**(-4/7)) assuming x is positive. x**(223/22) Simplify ((i**(-1/4))**(-3/8)/((i/(i*i/(i/i**(-3/5)))*i)/(i/i**10*i)))**(1/3) assuming i is positive. i**(-507/160) Simplify (j/j**(-1))**(2/13)/((j*j**9*j*j)/((j**(-7/3)*j*j*j)/j))*(j/j**10*(j*j**(-11)*j*j*j)/j)**(-1/56) assuming j is positive. j**(-25601/2184) Simplify ((w*w*w*w*(w/w**(1/4))/w)**(-9/11)/(w**0*w*w/w**4))/((w/w**(-1))**(1/6))**(11/5) assuming w is positive. w**(-1189/660) Simplify ((i/i**2*i)**(-1/9))**41*(i/i**(-1/2))**(-41)*i**(-4/5)/((i*i*i/(i/(i/(i/(i**7/i)))*i)*i*i)/i) assuming i is positive. i**(-703/10) Simplify (((a**0/a)/a)**(-10/3))**(-36)/(a*a/(a*(a*a*a/(a*a**(-3/8)))/a)*a*a*a*a/(a*a**0)*(a*(a**(1/2)*a)/a)/a**0) assuming a is positive. a**(-1953/8) Simplify ((x**(2/11))**(-29/4)*x**(-11)*x**5/x)**8 assuming x is positive. x**(-732/11) Simplify (((l**(-8)*l/(l/l**11*l))**(1/38))**(-2/33))**(-3/29) assuming l is positive. l**(2/6061) Simplify p**(-19/2)*p**0*p*(p**(-15)*p)/p*p/((p*p**(-30))/p*p) assuming p is positive. p**(13/2) Simplify x**(1/2)/x**(-1/7)*(x*x/x**3)/x*x*x*x*x*x**(-6)*x*(x*x**(2/7))**(-7/3)*(x**(-1/2)*x*x*x*x)/x**(3/7) assuming x is positive. x**(-16/7) Simplify ((j**(1/23)*j*j*j**(-5))/(j/(j*j**(1/5)/j))**(8/13))**18 assuming j is positive. j**(-92808/1495) Simplify (((o**0)**41*o**(-5)/((o/(o*o/o**(1/2)))/o*o))**(-26))**(11/6) assuming o is positive. o**(429/2) Simplify ((((i**(2/31)/i)/i*(i/((i/(i**(2/21)/i)*i)/i))/i)**(-34))**(1/13))**(1/6) assuming i is positive. i**(42500/25389) Simplify (w**(1/23)/w**(-30/11)*(w/(w/(w**(3/19)/w)))/(w/(w*(w/(w**13/w))/w*w*w)))**37 assuming w is positive. w**(-1435563/4807) Simplify (u*u**(-2/15)/u*u)/((u*u**(-3)*u)/u)*(u/(u/u**(-2)*u))**(-13/2)*(u**7/(u/(u*u**3*u)))/(u**1*u*u*(u/u**(-2/13))/u) assuming u is positive. u**(11783/390) Simplify ((b/(b/(b/b**(-5)))*b)/(b/(b**(5/2)/b))*b**2/b**6)/((b/(b**(-2/13)/b))/((b**(-1)*b)/b))**(4/27) assuming b is positive. b**(2129/702) Simplify ((c**(2/3)/c*c*c)**(2/65)/(c**(-2/7)/(c*c**(-7))))/((c*c**2)/(c**(5/4)/c))**33 assuming c is positive. c**(-105283/1092) Simplify (x**(-3/8)/(x**(-2/5)*x))/((x**1/x)/x**(-1/2))*((x**1*x)**(-3/22))**(-22/5) assuming x is positive. x**(-11/40) Simplify (k**(9/7))**(1/37)*(k**35)**(22/3) assuming k is positive. k**(199457/777) Simplify ((t**(-1/4)/t)**(-2/31)*t/((t*(t/t**(-10))/t)/t)*t*t/((t*t**10*t)/t))**(1/10) assuming t is positive. t**(-1111/620) Simplify j/((j**7*j*j)/j)*j*j/((j**8*j)/j)*(j**(-1/4))**6*j**(2/7)/(j*j**(2/19)*j*j)*j**(2/7)*j*((j/((j**(-5)*j)/j))/j)/j assuming j is positive. j**(-3201/266) Simplify (((c**23/c*c**(-5))**(-13))**(-1/2))**(-7/4) assuming c is positive. c**(-1547/8) Simplify (y**(-1))**33/((y*y**(1/8)*y)/y*y**(-3)/y)*y*y**(2/3)*y**(-2/5)*y**(2/9)*y*y*y**(-1/10) assuming y is positive. y**(-1925/72) Simplify ((h*h**13)**(4/13)*(h*h*h/(h*h**(-2/63)))/(h**(-3/2)/h))**(6/31) assuming h is positive. h**(14479/8463) Simplify ((s*s**(-2/7))**(13/3)/(s*s**(1/4)/s)**(-5/4))/((s**0*s)**(-6/13)/((s**(-3/5)/s)/(s**(1/5)/s))) assuming s is positive. s**(67033/21840) Simplify (i**(-2/7)*i*i/i**(-1/3))**15*(i/(i*i**2*i*i)*i**(-4))**(-2/7) assuming i is positive. i**33 Simplify ((g**(1/4))**25)**41*(g/g**(-11)*g**(-2/5)*g)**(-22/7) assuming g is positive. g**(4333/20) Simplify (p/p**(-1/4)*p**(2/13)/p)**(-3/22)*((p*p**(-3)*p*p)/p**(-4/5))/((p/((p**(-4)*p)/p))/p*p*p/((p*p**(-5))/p)*p) assuming p is positive. p**(-64379/5720) Simplify ((y**(1/6)/y**(-4))/((y**5*y)/y**(-8)))/((y**6*y**8)/((y/((y*y**(-3/5))/y))/y**7)) assuming y is positive. y**(-877/30) Simplify (((h*h*h/((h*h*h/(h/(h*h**5))*h)/h)*h)/h)/(h/h**(4/7)))**(-1/5)*((h/h**1)/h*h*h)**(12/5)*(h*h**1)**30 assuming h is positive. h**(2222/35) Simplify (b**5*b*b**(2/5)*((b**(2/3)/b)/b)**(7/10))/(b/(b/(b*b**(-7)/b*b))*b**(-2/5)*(b**0)**(2/61)) assuming b is positive. b**(178/15) Simplify ((o*o*o*o*o**(-5))/(o*((o*(o**(-2)*o)/o)/o)/o))**10*(o**(-1))**16*(o**(-2/3))**(-12) assuming o is positive. o**2 Simplify (((w**(-9)*w)/w*w**(2/9)*w*((w**(-1/7)*w)/w*w)/w*w**6)**(-12))**(-43) assuming w is positive. w**(-20812/21) Simplify ((r**3*r*r*r)**(-23)*r**(-4/5)/(r/r**(-2/41)))**38 assuming r is positive. r**(-1089422/205) Simplify ((c**1)**25)**(-18/5)*(c**(-1/3)/c*c*c**(5/6))**(-2) assuming c is positive. c**(-91) Simplify ((z*z/(z*z**1))**(-12)*(z/(z**2*z))**(5/12))/((z/z**(-1))**(-42))**(-3/17) assuming
{ "pile_set_name": "DM Mathematics" }
ose 7 = 3*i - n, -4*i + 2*n + 18 = 5*n. Determine k(i). 4 Let y be 40/6 - 6/9. Let b(a) = y*a - 4*a - 5 - 3*a**2 - 5*a + a**3 + 6. Give b(3). -8 Let u(z) = z**3 + 4*z**2 - 4*z - 2. Let n = -11 + 16. Suppose -n*y + p - 9 = 5*p, y = -5*p + 15. Calculate u(y). -7 Let c(p) be the third derivative of p**5/30 + p**4/24 + p**3/6 - 28*p**2. What is c(-1)? 2 Suppose 0*k - 4*k + 12 = 0. Let g = 2 + k. Let v(w) = -5*w + 270 + 4*w - 264. Determine v(g). 1 Suppose 4*w = 5*x + 17, -4*x - 7 = 3*w - 4*w. Let t be (-8)/(-16)*0/(-2). Let f(y) = -3*y + 1 - 29*y**2 + 30*y**2 + t*y. What is f(w)? 1 Let c(x) be the second derivative of -2/3*x**3 + 3*x + 0 - 1/2*x**2. Determine c(1). -5 Let a(l) = -7*l**2 - 2*l - 1. Suppose 3*m - 16 = 4*p, 0*p + 3*m = -3*p - 12. Let u = 1 - p. Suppose -u*v + 4 = b, 1 = -3*b + 2*v - 4. Determine a(b). -6 Let h = -26 + 37. Let t(z) = z + 10. Let n(f) = -5*f - 49. Let w(v) = h*t(v) + 2*n(v). What is w(0)? 12 Let f = -2 + 6. Let r = 7 + -5. Let c(z) = -1 + 0*z**2 - 1 + r*z**2 - z**2 - 5*z. What is c(f)? -6 Let d(g) = -g + 13. Let f be d(11). Let k(z) = -3 + z - f + 3 - 2. What is k(0)? -4 Let y(t) = -t**2 - 6*t - 6. Suppose 2*l = -2 - 6. Determine y(l). 2 Let y be (-1)/(-6) - 77/66. Let f(i) = i - 1. Calculate f(y). -2 Let q(m) = -2*m - 2. Let i(t) = 1. Let l(j) = -3*i(j) - q(j). Calculate l(2). 3 Let o(w) = 2*w**3 - 2*w**2 - w - 1. Let v be o(2). Let x(t) = 5*t - 7. Let g(a) = a. Let h be (1 - 2)*-3 - 2. Let b(l) = h*x(l) - 4*g(l). What is b(v)? -2 Let h(o) = o**3 + 6*o**2 + 3*o - 2. Let g be (0 - 4)/4*5. Determine h(g). 8 Let o(y) be the second derivative of y**5/20 - y**4/4 + y**3/6 + y**2/2 - 4*y. What is o(2)? -1 Let o(i) = 3*i + 2. Let a be o(3). Suppose 32 - a = 3*z. Let v = 11 - z. Let c(m) = 2*m + 2. Determine c(v). 10 Let x(b) = -5*b**3 + b**3 - b**2 + 1 + 2*b - 2. Let d be x(1). Let q(z) = z**3 + 4*z**2 - 2*z - 2. Determine q(d). 6 Let p = -15 - -21. Let d(t) = -3*t**3 - 6*t**2 + 0 + 4*t**3 - 1. Give d(p). -1 Let p(d) be the third derivative of 1/60*d**5 + 0*d + 0 + d**3 + 7/24*d**4 + 4*d**2. Calculate p(-6). 0 Let l(a) = 5*a**2 + 0*a - 4*a**2 + 4 - 3 + 3*a. Let m = -7 + 11. Let c be m/14 + (-27)/21. Calculate l(c). -1 Let q be 2/6 + (-5)/(-3). Let w(s) = s - s**3 + 2 - q + s**2 + 5 + 0*s**3. Calculate w(0). 5 Suppose 6 = -2*p + 10. Let o(v) = 2*v**3 - 2*v**2 - v - 2. Calculate o(p). 4 Let b = 17 + -17. Let u(q) = -4*q - 6 + 2*q + q. Let t be u(b). Let k(p) = p + 8. Calculate k(t). 2 Let m be 0/(-1) + -2 + 1. Let a(t) = 1 + 824*t**2 - 822*t**2 + 3*t - 2*t. Determine a(m). 2 Let i(t) = 10*t**2 - 5*t + 3. Let d(z) = -10*z**2 + 4*z - 2. Let f(b) = 4*d(b) + 3*i(b). Determine f(-1). -10 Let q(k) = 16*k**2 + 6 - 1 + 5*k - 1 - 17*k**2. Calculate q(4). 8 Let k(q) = -q - 1. Let h be 3/(-1 + 7/4). Suppose 3*v - h*v = -3. What is k(v)? -4 Let b(f) be the third derivative of f**5/60 - f**4/8 + f**3/6 + 18*f**2. Give b(1). -1 Suppose 0 = 4*f + 2*a - 14, 0 = -3*f + 4*f + 4*a - 7. Let m(g) = 3*g + 8 - 4*g - 1 + 0. Let s be m(f). Let t(q) = q**2 - 5*q - 1. Give t(s). -5 Let q(o) = -2*o + 5. Let x(r) = r**3 - 6*r**2 - 7*r + 6. Let d be x(7). Give q(d). -7 Let f = -26 + 31. Let p(q) = 2*q - 3. Give p(f). 7 Let h(n) = -n**2 - 5*n - 6. Let s(j) = -2*j + 9. Let l(z) = -3. Let c(q) = -q + 3. Let o(x) = 2*c(x) + 3*l(x). Let k be o(-5). Let t be s(k). What is h(t)? -6 Let x(t) = t**2 - t - 2. Let h be x(2). Let b(d) = d**2 + d - 5. Give b(h). -5 Suppose -8*n = -3*n + 2*t - 50, n + 4*t + 8 = 0. Suppose 30 = 5*x - 2*v - 3*v, -n = -x + 4*v. Let d(g) = -g - 1. Determine d(x). -5 Let l(i) = i**2 + 6*i + 3. Suppose 2*w = -7 - 3. Determine l(w). -2 Let d(q) = -q. Let u(v) = -6*v + 1. Let w(c) = 4*c. Let z be w(-1). Let g be u(z). Let a be (12/10)/(10/g). Give d(a). -3 Let a(s) = s - 13. Let z be a(7). Let g(l) = 3*l**3 + 5*l**2 + 6*l + 9. Let x(w) = 10*w**3 + 14*w**2 + 18*w + 27. Let q(j) = 7*g(j) - 2*x(j). Give q(z). 9 Let a(o) be the third derivative of -o**5/20 - o**4/8 - 13*o**2. Give a(-2). -6 Suppose 4*d = -2 - 6. Let m be 2*((-1)/d)/1. Let q(w) = 3*w - 4 - 5*w + m. What is q(-3)? 3 Let a(h) = 8*h**2 - 26*h - 5. Let m(k) = 3*k**2 - 9*k - 2. Let s(j) = 4*a(j) - 11*m(j). Calculate s(-6). -4 Let g(v) = v - 10. Let s be g(6). Let y(z) = z**2 + 3*z - 5. Let d be y(s). Let n(t) = -5*t. What is n(d)? 5 Let v = -4 - -6. Let o(u) = 4 + u**2 + 0*u**2 + 7*u + 0*u**v + 1. Give o(-5). -5 Let o(b) = -2*b**2 - 1 + b**2 - 5 + 9*b. Let k be o(8). Let c(g) = 2*g**k - 3*g**2 - 2*g - g + 4. What is c(-3)? 4 Let m(j) be the first derivative of -3*j + 1/4*j**4 + 1 - 4/3*j**3 + 2*j**2. Suppose 0 = -8*b + 4*b + 8. Calculate m(b). -3 Let o(c) = c + 1. Let l be o(-3). Let a(g) = g**3 - g**2 - g + 2. Determine a(l). -8 Let c(a) = -7*a**2 - a - 1. Let h = -15 - -14. What is c(h)? -7 Let y(p) = -4 + 4*p + p**2 + 3*p + 9. Determine y(-5). -5 Let j = -6 - -15. Let k(o) = -o**3 - 3*o**2 - o - 4*o - 5 + j*o**2. Give k(5). -5 Let z = -5 - -7. Suppose -2*o + z*w + 11 = -3*o, -5*w = 4*o + 35. Let n(p) = 2*p - 9. Let t(m) = -m + 1. Let s(a) = n(a) + 3*t(a). Give s(o). -1 Let z(q) be the first derivative of q**2/2 + 4*q + 3. Calculate z(0). 4 Let s(y) = y**3 - 6*y**2 + y - 1. Let p = -15 - -21. Determine s(p). 5 Let g(h) = h**3 - 4*h - 1 - 3*h**2 + 20*h**2 - 13*h**2. Calculate g(-5). -6 Let r(w) = 2*w**3 + 4*w**2 - 22 - 4*w**2 + 2*w**2 + 23. What is r(-2)? -7 Let w(n) = n**2 + n - 4. Let c be w(-3). Let m(l) = -10*l**2 + 6*l + 8. Let g(t) = 3*t**2 - 2*t - 2. Let y(i) = 7*g(i) + 2*m(i). Determine y(c). 2 Let c(k) = 3*k + 1. Let g be c(-1). Let u(h) = -h**3 - h**2 + 3*h + 1. Determine u(g). -1 Let s(v) = 2*v - 1. Let j(k) = -1. Let b(h) = h - 6. Let d(l) = b(l) - 4*j(l). Suppose 0 = 4*i + r - 24, -i - 4*i + 37 = 3*r. Let q be d(i). Determine s(q). 5 Let o be 7/(-4)*(-4)/(-1). Let q = -4 - o. Let d(k) = k + k - q*k. Give d(3). -3 Let h(w) = -6*w + 1. Let y = -21 + 22. What is h(y)? -5 Let m(f) be the second derivative of -f**3/3 - 2*f. Suppose 0 = -3*h + 5*h + 4. What is m(h)? 4 Let p(u) = 9 - 22 + 9 + 5*u. What is p(-4)? -24 Let v(g) be the third derivative of -g**6/120 - g**5/30 + g**3/3 - 39*g**2. What is v(2)? -14 Let m be -1*(4 - (-2 - -3)). Let y = 2 + m. Let h(x) = x**3 + 2 - 1 + 2*x**2 + 2*x + 4*x**3. What is h(y)? -4 Let s(q) = q**2 + 1. Let i be 3/(-3 - -9)*-4. Let c be s(i). Let t(n) be the third derivative of -n**4/12 - n**3/3 + n**2. What is t(c)? -12 Let y(x) = 3*x**2 - x - 1. Suppose -u + 4*u = -3. Determine y(u). 3 Suppose 4 = -3*l + 16. Let t(d) = -l + d - 1 + 1. Let m be ((3 + -3)/(-4))/(-2). Give t(m). -4 Suppose -6 = -l - 0*l. Let f(b) be the second derivative of b**6/360 - b**5/20 + b**4/12 + b**3/3 - 8*b. Let c(z) be the second derivative of f(z). Give c(l). 2 Let r(v) = -v + 4 + 5*v + 1 + 2. Determine r(-3). -5 Let f(w) = 1 + 0 - 2*w - 69*w**3 + 68*w**3. What is f(1)? -2 Let d(b) = -b**2 + 5*b. Suppose -2*m + 16 = 2*m. What is d(m)? 4 Let z(h) be the third derivative of -h**6/120 + h**5/12 - h**4/24 - 7*h**3/6 + 10*h**2. Give z(5). -12 Let h(p) = -2*p**3 + 6*p**2 + p + 8. Let b(s) = -3*s**3 + 6*s**2 + s + 9. Let k(t) = -3*b(t) + 4*h(t). Calculate k(-6). -1 Let r = 4 - 4. Let x(j) = -j + 9. Give x(r). 9 Let y(x) = 2*x + 2. Let p(n) = 2*n**2 - 4*n + 2. Let v be p(3). Suppose 0*w + 3*w - v = m, 0 = m + w. Let u be (m/(-2))/(1/(-5)). Determine y(u). -8 Let x = -84 - -83. Let q(o) = -4*o**2 - 1 - 12*o**3 + 4*o**2. Calculate q(x). 11 Let q(w) be the first derivative of -1/4*w**4 - 2*w**2 + 0*w - 5/3*w**3 + 8. Let c(g) = g**3 + 2*g**2 + g - 1. Let r be c(-2). Give q(r). -6 Let j(n) = 5*n**2 + 3*n - 2. Let y(a) = a**2 + a - 1. Let z(c) = j(c) - 6*y(c). Suppose 0 = -0*g + 5*g - 40. Let i = -12 + g. What is z(i)? 0 Let n be (1 + -2)*(2 + (-20)/8). Let k(x) be the second derivative of -x - 1/2*x**3 + 0 - n*x**2. Give k(-2). 5 Suppose -4*i - 4*r + 108 = 0, 3*r = -i - r + 36. Suppose 11 = 2*z + 5, -2*z + i = 2*c. Suppose -3*o - c = -0*o. Let y(g) = -g**2 - g - 3. Give y(o). -9 Let f(x) = -x - 8. Let j(w) = w + 9. Let g(a) = -2*a. Let i be g(1). Let n(c) = i*j(c) - 3*f(c). Give n(-4). 2 Suppose -m + 20 = 3*m. Suppose -3*d = -m*h - 55, d - 5*d + 3*h = -66. Suppose -2*j = j + d. Let a(w) = -2*w - 5. Calculate a(j). 5 Let u(o) be the second derivative of -o**4/12 - o**3/6 + o**2
{ "pile_set_name": "DM Mathematics" }
the terms in 0*n + 8*n**2 + 0*n + 5*n**2. 13*n**2 Collect the terms in 3*q**3 + 9387 - 9387. 3*q**3 Collect the terms in 10*w**2 - 7*w**3 - 8*w**2 - 2*w**2. -7*w**3 Collect the terms in 3*q**2 + 12 - 4*q**2 - 114. -q**2 - 102 Collect the terms in 932193*n - 932193*n + 2*n**2. 2*n**2 Collect the terms in 87 - 87 + 1269*y. 1269*y Collect the terms in -582*g + 582*g + 18*g**2. 18*g**2 Collect the terms in -45*j**3 - 45*j**3 - 42*j**3 + 10*j**3 + 121*j**3. -j**3 Collect the terms in -3*y**2 - 1371 - 3*y**2 + 1369. -6*y**2 - 2 Collect the terms in 32*f - 32*f + 16*f**2. 16*f**2 Collect the terms in -4*m - 10*m - 49*m + 5*m. -58*m Collect the terms in 372 - 736 + 364 - h**2. -h**2 Collect the terms in -o**2 - 2*o**2 - o**2 - o**2. -5*o**2 Collect the terms in 47 - 50 + 2*k - 41. 2*k - 44 Collect the terms in -141*v**2 + 16 + v + 2*v - 2*v. -141*v**2 + v + 16 Collect the terms in -164*o + 488*o - 156*o - 170*o. -2*o Collect the terms in -2*z**2 + 25690 - 25690. -2*z**2 Collect the terms in 85*b**2 - 8*b + 8*b. 85*b**2 Collect the terms in -11 + 16*m - 12*m + 11. 4*m Collect the terms in 6*u**3 + 0*u**3 + 3*u**3. 9*u**3 Collect the terms in -15*j**3 - 22*j**3 + 31*j**3. -6*j**3 Collect the terms in -5*x - 28*x - 21*x. -54*x Collect the terms in 27*t + 9*t**3 + 10*t**3 - 27*t. 19*t**3 Collect the terms in -5*g**3 + 7*g**3 + 7*g**3. 9*g**3 Collect the terms in 60 - 127 + 2*f + 67. 2*f Collect the terms in 266*x**2 - 536*x**2 + 269*x**2. -x**2 Collect the terms in 144*m**3 + 134*m**3 + 258*m**3 + 87*m**3. 623*m**3 Collect the terms in 7*d - 16*d - 9*d**2 + 8*d**2. -d**2 - 9*d Collect the terms in -43 + 17 + 26 - 4*q**3. -4*q**3 Collect the terms in 84*h**3 - 23*h**3 - 29*h**3 - 31*h**3. h**3 Collect the terms in 3 - 1817*n**3 + 1813*n**3 - 3. -4*n**3 Collect the terms in 134*d**2 - 3 + 3 + 128*d**2. 262*d**2 Collect the terms in 51*t**2 - 43*t**2 - 6*t**2. 2*t**2 Collect the terms in 2*v**2 - 4*v**2 - 2*v**2. -4*v**2 Collect the terms in 120*q**3 - 39*q**3 - 36*q**3 - 36*q**3. 9*q**3 Collect the terms in 2*y - 9*y + 2*y. -5*y Collect the terms in -8*u**2 - 12*u**2 - 1 + 16*u**2 + 1. -4*u**2 Collect the terms in 107 + 5*i**2 - 2*i**3 - 5*i**2. -2*i**3 + 107 Collect the terms in -10*c**3 + 17*c**3 - 6*c**3 - 4*c**3. -3*c**3 Collect the terms in 3*f + 11*f + f - 11*f. 4*f Collect the terms in 11 + 7*v - 11 - 2*v - 9*v. -4*v Collect the terms in 3*x**2 - 57*x + 57*x. 3*x**2 Collect the terms in 2716*b**2 + 47*b**3 - 2716*b**2. 47*b**3 Collect the terms in 398*q**3 - 1 + 2 - 401*q**3 - 1. -3*q**3 Collect the terms in -144*w - 65*w + 52*w. -157*w Collect the terms in 3*m**2 + m**2 + 5*m**2. 9*m**2 Collect the terms in -3*f**2 + 5936 - 5936. -3*f**2 Collect the terms in -35*r**3 - 7*r**3 - 53*r**3. -95*r**3 Collect the terms in -3*r + 5*r - 15 + 15 - 4*r. -2*r Collect the terms in 104*o**2 + 112*o**2 + 3*o**2 - 18*o**2. 201*o**2 Collect the terms in 16*t - 5*t**3 - 16*t. -5*t**3 Collect the terms in 9907 - 9907 - 3*f - 2*f. -5*f Collect the terms in h - 7*h - 6*h + 18*h**2. 18*h**2 - 12*h Collect the terms in -2*q**3 + 17*q + 20*q - 37*q + 0*q**3. -2*q**3 Collect the terms in 1336*s**2 + 1330*s**2 - 2665*s**2. s**2 Collect the terms in -14 + 2*k + 27 + 59. 2*k + 72 Collect the terms in -74 - r + 23*r**3 + r + 77. 23*r**3 + 3 Collect the terms in 3249*t + 3251*t - 6501*t. -t Collect the terms in 6*x**3 - 3*x**3 + 9*x**3. 12*x**3 Collect the terms in b + 2*b + 7*b + 0*b. 10*b Collect the terms in 7*o + 6*o - 5*o. 8*o Collect the terms in 5*n - 14*n + 4*n. -5*n Collect the terms in -107*r**2 + 204*r**2 - 2 - 96*r**2 - 16. r**2 - 18 Collect the terms in 6*j**2 + 12 - 2*j - 8 + 2*j. 6*j**2 + 4 Collect the terms in 25 - 16*x + 17 - 42. -16*x Collect the terms in 3 + 11*v**2 + v**2 + 12*v**2 - 1. 24*v**2 + 2 Collect the terms in -3*b**3 + 2*b - 19*b + 7*b + 10*b. -3*b**3 Collect the terms in 2896*x**3 + 2860*x**3 - 5758*x**3. -2*x**3 Collect the terms in 6*p**2 - 15*p**2 + 9*p**2 + 0*p**2 - p**2. -p**2 Collect the terms in -7*g**2 - 2*g**2 + 7*g**2. -2*g**2 Collect the terms in 130*i**3 - 23*i**3 + 92*i**3. 199*i**3 Collect the terms in -5 + 10 - 5*n - 4 - 6. -5*n - 5 Collect the terms in -1 + 0*u + 0*u + 0 + 5*u. 5*u - 1 Collect the terms in 20*b + 27*b**2 - 19*b + 3 - 3. 27*b**2 + b Collect the terms in -2185 + 12*q + 2185. 12*q Collect the terms in -4*w**2 - w**2 - 2*w**2 - w**2. -8*w**2 Collect the terms in -206*p - 4*p**2 + 2*p**2 + 536*p. -2*p**2 + 330*p Collect the terms in 281*u**2 - 542*u**2 - 857*u**2 - 116*u**2. -1234*u**2 Collect the terms in -34*o - 231*o**2 + 34*o. -231*o**2 Collect the terms in 33*h**2 - 3318*h + 5*h**3 + 3318*h - 33*h**2. 5*h**3 Collect the terms in -19*w**2 + 15*w**2 - 10*w**2. -14*w**2 Collect the terms in d + 15 + 65 + 19 + 0*d. d + 99 Collect the terms in 58*n**3 - 24*n**3 - 32*n**3. 2*n**3 Collect the terms in -118*u**2 - 74*u**2 - 105*u**2. -297*u**2 Collect the terms in -190*d**3 - 27*d**2 + 27*d**2. -190*d**3 Collect the terms in 2 + 4 - 2*f**2 + 0. -2*f**2 + 6 Collect the terms in -589*s - 5 + 589*s - 10*s**3 + 5. -10*s**3 Collect the terms in 2*f - 3*f + 3*f - f. f Collect the terms in -60 + 7*k**2 - 4*k**2 + 60 - 2*k**2. k**2 Collect the terms in -18*i**2 + 33*i**2 + 4*i**2. 19*i**2 Collect the terms in -8*s**2 - 11*s**2 + 13*s**2 - 17*s**2. -23*s**2 Collect the terms in 8*k + 30*k + 36*k - 3*k. 71*k Collect the terms in -3 - 9 - 13*a + 15. -13*a + 3 Collect the terms in 351*f**2 + 257*f**2 + 945*f**2. 1553*f**2 Collect the terms in -13*n**2 - 3*n**2 - 3*n**2 + 18*n**2. -n**2 Collect the terms in -22 + 5 + z**3 - 5*z + 5*z. z**3 - 17 Collect the terms in 24*q**3 - 979*q**3 - 786*q**3. -1741*q**3 Collect the terms in -15*l**3 - 11*l**3 + 2*l**3 + 3*l**3. -21*l**3 Collect the terms in 3 - 6 + 3 + 36*l**3 - 72*l**3. -36*l**3 Collect the terms in -107*r**2 - 98*r**2 + 206*r**2. r**2 Collect the terms in -26*t + 5*t**2 + t + 16*t + 9*t. 5*t**2 Collect the terms in -9 - 9 + 32*c + 2 - 33*c. -c - 16 Collect the terms in 6 + 2*v**3 - 19 + 13. 2*v**3 Collect the terms in -467 + 237 + 230 + 4*p. 4*p Collect the terms in 17*p - 10*p + 3*p. 10*p Collect the terms in -841 + 841 + 16*u**2. 16*u**2 Collect the terms in 127*k**2 - 124*k**2 - 15 - 34. 3*k**2 - 49 Collect the terms in -27*v + 72*v - 16*v - 28*v. v Collect the terms in -7*v - 6*v**2 - v + 8*v. -6*v**2 Collect the terms in 151*z**3 - 49*z**3 + 89*z**3. 191*z**3 Collect the terms in 40*p + 9*p**2 - 40*p - 6*p**2. 3*p**2 Collect the terms in -202*i**3 + 61*i**3 + 73*i**3 + 70*i**3. 2*i**3 Collect the terms in -35*r**2 + 16*r**2 + 24*r**2. 5*r**2 Collect the terms in -4*i**2 + 4*i**2 + 66*i**3 + 0*i**2 - 70*i**3. -4*i**3 Collect the terms in -84*q**2 + 33*q**2 + 28*q**2 + 29*q**2. 6*q**2 Collect the terms in -9*m + 12*m - 12*m. -9*m Collect the terms in 321 + m**2 - 321. m**2 Collect the terms in -237*p**2 - 442*p**2 + 162*p**2. -517*p**2 Collect the terms in -97*i - 2*i**3 - 50*i + 147*i. -2*i**3 Collect the terms in 0*s + 51*s**2 - 67*s**2 + 0*s. -16*s**2 Collect the terms in 2*j**2 - 2*j**2 + 0*j**2 - j**2. -j**2 Collect the terms in 1 + 6 + 11 - 3*c + 2*c. -c + 18 Collect the terms in 1105*b - 38*b - 176*b. 891*b Collect the terms in 7*j**2 + 48*j**2 + 20*j**2 - 38*j**2 + 48*j**2. 85*j**2 Collect the terms in -14*o**2 - 3*o + 3*o + 0*o. -14*o**2 Collect the terms in 4*m**2 + 22*m**2 - 26*m**2 - 12*m**3. -12*m**3 Collect the terms in 728338 + 2*z**2 - 728338. 2*z**2 Collect the terms in -x**2 + 1271 + 1105 + 2*x**2. x**2 + 2376 Collect the terms in -13*x**2 - 18*x**2 + 27*x**2. -4*x**2 Collect the terms in -10*d + 4*d - 7*d. -13*d Collect the terms in 14*q - 10*q + 8*q + 5*q. 17*q Collect the terms in 4 + 2*o**3 - 3*o**3 - 4. -o**3 Collect the terms in -50 + 44 + 6 + 2*y**2. 2*y**2 Collect the terms in -111*p - 82*p - 9*p**2 + p**2 + 193*p. -8*p**2 Collect the terms in f**2 + 17*f**2 - 45*f**2. -27*f**2 Collect the terms in 7*m + 31 - 6*m**2 - 7*m - 4*m**2. -10*m**2 + 31 Collect the terms in 16 - 28 - 2*k**2 + 12. -2*k**2 Collect the terms in 10*b**2 + 0*b**2 + 7*b**2. 17*b**2 Collect the terms in -2*o + o + 17*o**2 + o. 17*o**2 Collect the terms in 13*b**3 - 46000 + 46000. 13*b**3 Collect the terms in 7*k**2 - 3*k**2 + 6*k**2 - 16*k + 3*k**2. 13*k**2 - 16*k Collect the te
{ "pile_set_name": "DM Mathematics" }
s divided by 44. 20 Calculate the remainder when 569 is divided by 44. 41 Calculate the remainder when 654 is divided by 82. 80 Calculate the remainder when 45304 is divided by 94. 90 What is the remainder when 1423 is divided by 89? 88 What is the remainder when 143 is divided by 13? 0 What is the remainder when 583 is divided by 309? 274 Calculate the remainder when 370 is divided by 129. 112 What is the remainder when 66 is divided by 8? 2 Calculate the remainder when 1025 is divided by 79. 77 What is the remainder when 187 is divided by 19? 16 Calculate the remainder when 430 is divided by 129. 43 What is the remainder when 197 is divided by 33? 32 What is the remainder when 324 is divided by 28? 16 Calculate the remainder when 213 is divided by 109. 104 What is the remainder when 224 is divided by 23? 17 What is the remainder when 3949 is divided by 9? 7 What is the remainder when 383 is divided by 14? 5 What is the remainder when 35 is divided by 14? 7 Calculate the remainder when 75 is divided by 5. 0 What is the remainder when 192 is divided by 157? 35 Calculate the remainder when 129 is divided by 65. 64 Calculate the remainder when 360 is divided by 33. 30 What is the remainder when 77 is divided by 7? 0 Calculate the remainder when 354 is divided by 108. 30 What is the remainder when 208 is divided by 15? 13 What is the remainder when 147 is divided by 70? 7 Calculate the remainder when 3057 is divided by 764. 1 What is the remainder when 1112 is divided by 1102? 10 What is the remainder when 113 is divided by 5? 3 What is the remainder when 423 is divided by 27? 18 What is the remainder when 132 is divided by 24? 12 What is the remainder when 10096 is divided by 66? 64 What is the remainder when 3085 is divided by 100? 85 What is the remainder when 8055 is divided by 44? 3 Calculate the remainder when 8339 is divided by 26. 19 What is the remainder when 902 is divided by 290? 32 What is the remainder when 727 is divided by 127? 92 What is the remainder when 46 is divided by 18? 10 What is the remainder when 963 is divided by 17? 11 What is the remainder when 749 is divided by 25? 24 Calculate the remainder when 309 is divided by 39. 36 What is the remainder when 139 is divided by 47? 45 Calculate the remainder when 144 is divided by 7. 4 Calculate the remainder when 216 is divided by 118. 98 Calculate the remainder when 75 is divided by 7. 5 What is the remainder when 947 is divided by 12? 11 What is the remainder when 179 is divided by 108? 71 What is the remainder when 985 is divided by 38? 35 Calculate the remainder when 2584 is divided by 37. 31 Calculate the remainder when 67 is divided by 17. 16 What is the remainder when 130 is divided by 92? 38 What is the remainder when 63 is divided by 57? 6 What is the remainder when 936 is divided by 24? 0 What is the remainder when 197 is divided by 41? 33 What is the remainder when 49 is divided by 39? 10 Calculate the remainder when 391 is divided by 49. 48 Calculate the remainder when 9161 is divided by 195. 191 Calculate the remainder when 2693 is divided by 246. 233 Calculate the remainder when 1362 is divided by 13. 10 Calculate the remainder when 68 is divided by 31. 6 What is the remainder when 1576 is divided by 525? 1 What is the remainder when 1927 is divided by 54? 37 Calculate the remainder when 175 is divided by 18. 13 Calculate the remainder when 42 is divided by 14. 0 Calculate the remainder when 1322 is divided by 89. 76 Calculate the remainder when 644 is divided by 35. 14 Calculate the remainder when 1665 is divided by 12. 9 Calculate the remainder when 370 is divided by 110. 40 Calculate the remainder when 1361 is divided by 65. 61 Calculate the remainder when 171 is divided by 56. 3 What is the remainder when 3057 is divided by 102? 99 What is the remainder when 298 is divided by 101? 96 Calculate the remainder when 161 is divided by 44. 29 Calculate the remainder when 378 is divided by 246. 132 What is the remainder when 84 is divided by 18? 12 What is the remainder when 2614 is divided by 260? 14 Calculate the remainder when 1007 is divided by 14. 13 Calculate the remainder when 8839 is divided by 61. 55 What is the remainder when 130 is divided by 11? 9 Calculate the remainder when 3903 is divided by 6. 3 What is the remainder when 869 is divided by 8? 5 What is the remainder when 539 is divided by 9? 8 Calculate the remainder when 2760 is divided by 395. 390 What is the remainder when 650 is divided by 212? 14 Calculate the remainder when 190 is divided by 57. 19 What is the remainder when 2758 is divided by 5? 3 What is the remainder when 297 is divided by 77? 66 Calculate the remainder when 3717 is divided by 60. 57 What is the remainder when 38 is divided by 13? 12 Calculate the remainder when 409 is divided by 99. 13 What is the remainder when 746 is divided by 27? 17 Calculate the remainder when 538 is divided by 11. 10 What is the remainder when 669 is divided by 27? 21 Calculate the remainder when 1287 is divided by 12. 3 What is the remainder when 136 is divided by 113? 23 Calculate the remainder when 40 is divided by 4. 0 Calculate the remainder when 7446 is divided by 49. 47 Calculate the remainder when 152 is divided by 140. 12 What is the remainder when 1935 is divided by 149? 147 What is the remainder when 60 is divided by 26? 8 What is the remainder when 3120 is divided by 82? 4 What is the remainder when 2636 is divided by 120? 116 Calculate the remainder when 589 is divided by 59. 58 Calculate the remainder when 9897 is divided by 44. 41 Calculate the remainder when 20 is divided by 13. 7 Calculate the remainder when 37 is divided by 21. 16 Calculate the remainder when 597 is divided by 4. 1 Calculate the remainder when 32 is divided by 6. 2 Calculate the remainder when 51 is divided by 30. 21 Calculate the remainder when 93 is divided by 48. 45 Calculate the remainder when 773 is divided by 190. 13 Calculate the remainder when 1065 is divided by 280. 225 What is the remainder when 135 is divided by 66? 3 What is the remainder when 1079 is divided by 49? 1 Calculate the remainder when 345 is divided by 177. 168 Calculate the remainder when 21543 is divided by 21. 18 Calculate the remainder when 2081 is divided by 687. 20 What is the remainder when 168 is divided by 44? 36 What is the remainder when 220 is divided by 112? 108 What is the remainder when 891 is divided by 60? 51 What is the remainder when 168 is divided by 51? 15 What is the remainder when 807 is divided by 28? 23 Calculate the remainder when 247 is divided by 46. 17 Calculate the remainder when 380 is divided by 80. 60 What is the remainder when 44 is divided by 23? 21 What is the remainder when 30 is divided by 12? 6 What is the remainder when 28 is divided by 10? 8 What is the remainder when 146 is divided by 57? 32 What is the remainder when 108 is divided by 30? 18 Calculate the remainder when 3606 is divided by 3. 0 Calculate the remainder when 505 is divided by 139. 88 What is the remainder when 175 is divided by 13? 6 Calculate the remainder when 2454 is divided by 63. 60 Calculate the remainder when 2003 is divided by 201. 194 What is the remainder when 315 is divided by 31? 5 What is the remainder when 3336 is divided by 9? 6 What is the remainder when 48 is divided by 13? 9 What is the remainder when 118 is divided by 46? 26 Calculate the remainder when 6 is divided by 4. 2 Calculate the remainder when 366 is divided by 48. 30 Calculate the remainder when 2548 is divided by 71. 63 What is the remainder when 291 is divided by 49? 46 Calculate the remainder when 1229 is divided by 15. 14 Calculate the remainder when 2492 is divided by 6. 2 What is the remainder when 3487 is divided by 8? 7 Calculate the remainder when 368 is divided by 13. 4 What is the remainder when 68 is divided by 19? 11 What is the remainder when 750 is divided by 58? 54 Calculate the remainder when 7377 is divided by 12. 9 What is the remainder when 317 is divided by 23? 18 Calculate the remainder when 2302 is divided by 231. 223 What is the remainder when 3510 is divided by 44? 34 What is the remainder when 3051 is divided by 35? 6 Calculate the remainder when 192 is divided by 67. 58 Calculate
{ "pile_set_name": "DM Mathematics" }
) with respect to c. 6*c Let g(k) be the second derivative of -k**8/1680 + k**4/24 - k**3/3 + 4*k. Let i(b) be the second derivative of g(b). Differentiate i(o) wrt o. -4*o**3 Let b = 65 - 59. Let n(a) be the second derivative of 0 + 1/6*a**4 + 1/10*a**b + 0*a**3 - 4*a + 0*a**2 + 0*a**5. Find the third derivative of n(l) wrt l. 72*l Let l = 8 - 4. What is the second derivative of -l*y + 4*y - y - 3*y**5 + 4*y wrt y? -60*y**3 What is the third derivative of -i**3 - 2*i**2 - 5*i**3 + 4*i**3 wrt i? -12 Suppose 2*x + 4*t = 42, -30 = -x - x - t. Let q = x - 9. What is the derivative of -3 + q - h - 3 wrt h? -1 Let l(z) be the first derivative of 7*z**4/4 - 5*z**2/2 - 6. Find the second derivative of l(g) wrt g. 42*g Let o(w) be the second derivative of -7*w**6/6 + w**2/2 - 20*w - 2. Find the first derivative of o(y) wrt y. -140*y**3 Find the third derivative of -12*g**4 - 10*g**4 + 7*g**2 + 17*g**4 + 4*g**2 wrt g. -120*g Let l(v) = -v**3 - 2*v**2 - 2*v + 2. Let z(d) = -d**2 + 2*d - 2. Let f be z(2). Let k be l(f). Find the third derivative of -w**k - 5 + 5 - 3*w**2 wrt w. -120*w**3 Let f(r) = 9*r**3 + 6*r**2 + 12. Let b(q) = -10*q**3 - 5*q**2 - 13. Let w(y) = -6*b(y) - 5*f(y). Differentiate w(z) with respect to z. 45*z**2 Let d(m) be the third derivative of -m**5/6 + 8*m**3/3 - 12*m**2. Differentiate d(t) wrt t. -20*t Suppose 3*m - 5*z - 22 = 0, -2*m - 3*m = 2*z - 16. Differentiate 4*a + 2*a**2 - m*a - 1 wrt a. 4*a Suppose 6*a - 2*a + 16 = 0. Let f = a - -6. What is the third derivative of -w**3 + f*w**3 + 3*w - 3*w - 4*w**2 wrt w? 6 Let y(w) be the second derivative of -w**4/12 + 11*w**2/2 - 19*w - 1. What is the derivative of y(i) wrt i? -2*i Let k(h) be the third derivative of -3*h**6/40 + 11*h**4/24 + 5*h**2. Find the second derivative of k(t) wrt t. -54*t What is the derivative of -15*f - 385 + 172 + 189 wrt f? -15 Let k(p) = p**3 + p**2 + p + 1. Let n(f) = 32*f**3 + 33*f**2 + 6*f + 6. Let l(d) = 6*k(d) - n(d). Find the third derivative of l(a) wrt a. -156 Let o be ((-3)/2)/((-12)/(-32)). Let d(a) = a**2 + 3*a - 2. Let m be d(o). Find the second derivative of m*z**3 + 2*z**2 + 2*z - 2*z**2 wrt z. 12*z Let i(h) be the second derivative of -h**5/4 - 2*h**3 + 5*h. Find the second derivative of i(y) wrt y. -30*y Let l(s) be the third derivative of -23*s**8/336 + 5*s**4/12 + 15*s**2. What is the second derivative of l(d) wrt d? -460*d**3 Let g be (-2)/(-10) - 24/20. Let o be (-1 + g)/((-8)/196). What is the second derivative of -5*b**3 + o*b + b**3 - 51*b wrt b? -24*b Suppose -l - 4*f + 22 = 0, -2*f - 8 = l - 4*f. What is the third derivative of 129 - 6*n**2 - 129 + l*n**5 wrt n? 120*n**2 Find the third derivative of 137*t**4 - 3*t**2 - 135*t**4 + t**2 wrt t. 48*t Suppose -5*l = -4*j - 7, 2*j - 5*j - 5*l + 21 = 0. What is the third derivative of 3*c**2 - c**2 - c**2 + j*c**3 wrt c? 12 Let p = 1 + 2. Let m = -5 - -8. What is the third derivative of l**2 - m*l**3 - 2*l**p + 3*l**3 wrt l? -12 Let j(g) be the first derivative of -g**3/3 + 11*g**2/2 - 10. What is the second derivative of j(m) wrt m? -2 Let g(i) = -6*i**2 + 18*i - 2. Let l(c) = 5*c**2 - 18*c + 2. Let o(z) = -2*g(z) - 3*l(z). What is the second derivative of o(y) wrt y? -6 Let f(b) be the third derivative of b**6/15 + 7*b**3/2 - 18*b**2. Differentiate f(c) with respect to c. 24*c**2 Let g = 5 + 11. Let a be (-3)/(-4) - (-4)/g. Differentiate -m**2 + 4*m - 4*m + a with respect to m. -2*m Let g(u) = -u**2 - 7*u - 3. Let n be g(-6). What is the first derivative of n*b - 3*b - 4*b - 3 wrt b? -4 Let k = 9 - 7. What is the third derivative of 12*c**6 + 0*c**6 + c**k - 8*c**6 wrt c? 480*c**3 Let h(s) = s + 1. Let o(b) = -4*b**2 + 2*b + 7. Suppose 8 = 2*g + 4. Let f(a) = g*h(a) - o(a). What is the derivative of f(y) wrt y? 8*y What is the derivative of d**2 + 2*d**2 - 4 + d**2 wrt d? 8*d Let p(f) be the first derivative of 1/4*f**4 - 3/2*f**2 - 2 + 0*f**3 + 0*f. What is the second derivative of p(l) wrt l? 6*l Suppose 17 = 4*u + 1. Let a(k) be the third derivative of 1/20*k**5 + 0*k + 0*k**u + 0*k**3 - 1/120*k**6 + 0 - 4*k**2. Find the third derivative of a(o) wrt o. -6 Let x be 0/2 - 30/(-6). What is the second derivative of -u - 2*u + 2*u**5 - 4*u**5 - 2*u**x wrt u? -80*u**3 Let a(u) be the second derivative of 0 + 5/6*u**4 + 0*u**3 + 0*u**6 + 1/7*u**7 + 0*u**5 - 7*u + 0*u**2. What is the third derivative of a(x) wrt x? 360*x**2 Let b(p) = -p**3 - 5*p**2 + 4. Let y be b(-5). Find the third derivative of -7*u**y + 5*u**2 - 8*u**2 - 3*u**2 + u**4 wrt u. -144*u Let t be (0 - (-1 + 0)) + -2. Let x be t/3*(-3 + 0). Find the second derivative of -2*k + 2*k**5 - 1 + x wrt k. 40*k**3 Let h(w) be the first derivative of -5*w**6 - 2*w**2 - 8. Find the second derivative of h(p) wrt p. -600*p**3 Let t = -14 + 18. What is the second derivative of -2*s + 8*s**5 - 8*s**5 + t*s**5 wrt s? 80*s**3 Suppose -l + 0*l = 3. Let s be (-1 - 6/l) + 2. Find the second derivative of 2*k + 4*k**5 - 5*k**5 - s*k wrt k. -20*k**3 Let m(l) be the first derivative of -2*l**2 + 0*l**4 + 0*l + 3/5*l**5 + 0*l**3 + 1. Find the second derivative of m(s) wrt s. 36*s**2 Let c(p) be the third derivative of -1/60*p**5 + 0*p**6 - 1/112*p**8 + 0*p + 0*p**3 + 0*p**4 + 0*p**7 - p**2 + 0. What is the third derivative of c(k) wrt k? -180*k**2 Suppose -11*k = -15*k. Suppose 15 = -o + 4*o. Find the second derivative of 0*r + 2*r + k*r + 3*r**5 - 5*r**o wrt r. -40*r**3 Find the first derivative of 4*c + 0*c - 9 + 1 wrt c. 4 Let g = 6 + -4. What is the third derivative of 28*p**4 + 5*p**g + p**5 - 28*p**4 wrt p? 60*p**2 Suppose 2*c + 4*y - 24 = 0, 4*c = 5*y + 48 + 13. Suppose -5*i + 0 + 5 = -3*j, -2*j - i + c = 0. What is the second derivative of 0*u - j*u - u**3 + 3*u wrt u? -6*u Let d(k) be the third derivative of -11*k**8/112 - 3*k**5/20 - k**3/6 - 34*k**2. Find the third derivative of d(m) wrt m. -1980*m**2 Suppose b = 6*b - 10. Let x(k) be the third derivative of 1/6*k**3 + k**b + 1/60*k**5 + 0*k**4 + 0 + 0*k. What is the first derivative of x(c) wrt c? 2*c Let q(l) = 4*l**2 + 2*l - 7. Let m(g) = -8*g**2 - 5*g + 15. Let v(t) = 2*m(t) + 5*q(t). Differentiate v(j) with respect to j. 8*j Let g(r) be the first derivative of 7*r**4/4 + r - 7. Differentiate g(s) wrt s. 21*s**2 Let n = -12 - -14. Differentiate 2*v**2 - 8 + 2 + v**n + v**2 wrt v. 8*v Let b = 4 + -1. Find the second derivative of -2*i + 0*i**3 + 2*i**b + 0*i**3 wrt i. 12*i Let d be (-2 + (27 - -1))/2. Let f(b) = -7*b + 1. Let r(o) = 15*o - 2. Let k(i) = d*f(i) + 6*r(i). Find the first derivative of k(j) wrt j. -1 Let q(h) be the second derivative of h**4/12 - h**2/2 - 12*h. Differentiate q(w) with respect to w. 2*w Let b(l) be the second derivative of -7*l**6/6 - 7*l**4/6 + 2*l. What is the third derivative of b(m) wrt m? -840*m Let q(h) = h**3 - 4. Suppose 2*t - 14 - 8 = 0. Let n(v) = 6*v**3 - 20. Let g(a) = t*q(a) - 2*n(a). Differentiate g(b) wrt b. -3*b**2 Let h be (-6)/4*(-104)/(-12). Let n = h + 19. Find the third derivative of n*j**2 - j**2 - j**4 - 3*j**2 + 0*j**4 wrt j. -24*j Let x(q) = -3*q**3 + 4*q**2 - 4*q - 23. Let r(u) = 6*u**3 - 9*u**2 + 9*u + 47. Let w(t) = 4*r(t) + 9*x(t). Differentiate w(l) wrt l. -9*l**2 Let z(k) be the first derivative of 5*k**4/2 + k**2/2 - 23. What is the second derivative of z(q) wrt q? 60*q Let a(y) be the first derivative of -2 + y + 0*y - y**4 - 3*y - 2. What is the first derivative of a(w) wrt w? -12*w**2 Let r be (-4)/12 + (-5)/3. Let x be (-2)/((4 + r)/(-4)). What is the second derivative of 2*l**2 + 0*l - 2*l + x*l wrt l? 4 Let b(m) = -m**3 - m**2 - 1. Suppose 4 = -0*u + u. Let j(y) = 8*y**3 + 7*y**2 + 6. Let x(l) = u*j(l) + 28*b(l). Find the first derivative of x(s) wrt s. 12*s**2 Let o be (38/4 - 3)*-2. Let z = 19 + o. Find the second derivative of z*c**3 - c**4 - 6*c**3 - c wrt c. -12*c**2 Let p(h) be the third derivative of -1/10*h**5 + 0 + 0*h + 1/4*h**4 + 0*h**3 + 6*h**2. Find the second derivative of p(y) wrt y. -12 Suppose a - 9 = -2*a. Let z(p) be the second derivative of 2/3*p**a + 0*p**2 + 4*p - 1/12*p**4 + 0. Find the second derivative of z(i) wrt i. -2 Let h = 53/130 - 4/13. Let w(c) be the second derivative of c**2 + 0 + 0*c**3 - h*c**5 - c + 0*c**4. Differentiate w(v) with respect to v. -6*v**2 Let g = 28 - 25. What is
{ "pile_set_name": "DM Mathematics" }
= -5, 0 = 2*i - 81*t + 85*t + 8. Let p be 0/2 - (-2)/16. Which is the biggest value? (a) -14 (b) -4 (c) p (d) i c Let y = 58 - 58.2. What is the fourth smallest value in -1, y, -37, 3? 3 Let q = -32 + 37. Suppose 0 = d - 2*x - 10, 0 = -2*x - 13 + q. Let u = -271/10 + 27. Which is the third smallest value? (a) d (b) u (c) 3 c Suppose 6*q = 5*q + 1. Let v be (24/8)/(q/((-6)/(-63))). Let m be (-2 - (2 - 3))/(-3). What is the third smallest value in 0.2, v, m? m Let g = 0.204 + -0.504. Which is the smallest value? (a) -0.09 (b) 0.2 (c) -4 (d) g c Let r = -12 + 13. Let u = 19 + -18. Let f = -0.6 + u. Which is the third smallest value? (a) r (b) f (c) 6 c Let n = -4 - -3.7. Let x = 0.1508 + -0.0508. What is the second smallest value in x, n, -0.2? -0.2 Let t = 1 + -3. Let g(y) = 418*y - 2511. Let v be g(6). What is the fourth biggest value in v, t, -1, 5? v Let m = -21 - -44. Let i = 27 - m. Which is the biggest value? (a) i (b) -2/15 (c) 3/7 a Let s = -0.093 - -0.062. Let z = s + -0.369. What is the fourth smallest value in z, 1/8, -4, -1/6? 1/8 Let y = 343.5 + -285. Let c = y + -59. What is the second smallest value in 0, c, -4, 1? c Let w = -617 + 617.3. Which is the third biggest value? (a) 0.14 (b) -1 (c) w b Let u = -0.1 + 4.1. Let g = -84 - -85. Let k = 30.5 + -31. Which is the smallest value? (a) g (b) k (c) u b Let d = -7 - -9. Let p = 25 - 30. Which is the second smallest value? (a) d (b) p (c) 3 a Let u = -85/6 - -27/2. Let m = -2/3391 - 6772/16955. What is the third biggest value in 1, u, 3, m? m Let s be 9/10 + (-4)/10. Let u be (-2541)/(-495) + 2/1 + 21/(-3). Let o = 0 - 0. Which is the second smallest value? (a) u (b) o (c) s a Let x = 0.0337 + -26.0337. Which is the biggest value? (a) -3/2 (b) x (c) 0 c Let h = 0.6 + -0.2. Let m be 9/(-15) - (1 + 9/(-5)). Which is the third smallest value? (a) 0 (b) h (c) m b Let z = 4.221 + -0.221. What is the third smallest value in z, 1, -2/55? z Let w = 79.893 + -80. Let x = w - 1.893. Which is the smallest value? (a) 0.3 (b) x (c) 0.05 b Let n = -12 + -3. Let i = n + 15.3. What is the second biggest value in i, 0, -2/7? 0 Let t = -13 - -8. Let u = -324 - -647/2. Which is the second biggest value? (a) -3/4 (b) u (c) t (d) 3 b Let d = 122.2 + -121.649. Let g = 0.051 - d. What is the second biggest value in g, -3, 3, 3/2? 3/2 Suppose 0 = -4*l - 0 - 8. Let p be l/(-4) + (-5)/(-70). Let r be (-1 - 0) + 5/7. What is the third smallest value in -4, r, p? p Suppose 5*w + 86881 = -4*i + 25434, 0 = 2*i + w + 30731. Let j = 92005/6 + i. Let o = 34 + j. Which is the third smallest value? (a) -6 (b) o (c) -0.3 b Let v = -1760/117 - -134/9. Let g = -11.2 + 11. Which is the third biggest value? (a) v (b) g (c) 0.17 b Let n be (3 - 2 - 0)/(-5). Let z = -10 - -14. Let q(s) = 7*s + 21. Let t be q(-3). What is the second biggest value in z, n, t? t Let x = -38.919 + -0.081. Let u = x + 37. Which is the biggest value? (a) -6 (b) 0.4 (c) u b Let x = -1 - -1.14. Let h = 57.9 + -58.9. Which is the second biggest value? (a) h (b) x (c) 5 b Let y = -22.5 - -20.28. Let q = 2.9 + y. Let o = q + -0.18. Which is the second biggest value? (a) 0.2 (b) -0.2 (c) o a Let s be -9 + 2 - (-6 - 4)*(-6)/(-10). Let i = 3.6 - 4. What is the third smallest value in 2/5, 0, i, s? 0 Let j be 4 - (-1 + 2) - -1. Let r = 0.8 + -1.3. Let b = r - -0.5. What is the third smallest value in j, 0.1, b? j Let n = -20.057 - -0.057. Let l = -19.8 - n. Which is the second smallest value? (a) -2/41 (b) 3 (c) -2/7 (d) l a Let y = 123.9 - 124. What is the second smallest value in y, -4, 3? y Let h = 27.2 + -27.1. Which is the second smallest value? (a) -1/3 (b) 3/2 (c) 1 (d) h d Let z = -54 + 54.72. Let x = z - 0.22. Suppose 0*w = 2*w - 8. Which is the smallest value? (a) x (b) -5 (c) w b Let o = -1033/2074 + -2/1037. What is the third biggest value in -5, o, 56? -5 Let u(g) = 8*g + 140. Let p be u(-17). What is the second biggest value in -0.5, -2/7, p, 10? p Let t = -3 - -2. Let i = 5.734 + 0.266. What is the third biggest value in i, t, 0.5? t Suppose 0 = 6*w - 1 - 29. Let x be (4 - 7) + w + -1. Which is the second smallest value? (a) -0.5 (b) 5/4 (c) x c Let l = -1230.5 + 1231. What is the fourth smallest value in -0.2, 6, -4, l? 6 Let f = 20 + -23.8. Let r = -4.3 - f. Which is the third biggest value? (a) r (b) 4 (c) 0.1 a Let k = 40.3 - 39.3. Which is the smallest value? (a) -1 (b) k (c) -19 c Let u = 26.5 + -27.8. What is the third smallest value in 4, u, -5, 5? 4 Let n = -1.7 + 1.91. Let s = n + -0.14. Let r = s - -1.93. Which is the second biggest value? (a) -4/9 (b) r (c) -3 a Let x = -3/13673 - -7643234/123057. Let w = x + -62. What is the smallest value in w, 2/11, 1/4? w Let n = 0.091 + -0.007. Let r = n - 32.084. Which is the third smallest value? (a) -2 (b) r (c) -0.5 c Let i = 3.93 - -0.07. Let s = 102.5 - 102. Which is the biggest value? (a) s (b) i (c) -0.2 b Suppose 2*q - 3*f - 5 = 0, -2*q + 3*q = -3*f - 2. What is the smallest value in q, -11, -5? -11 Let h = -4.4 + 4.3. Let o = h + -0.1. What is the second smallest value in -0.5, 5, o? o Let h = -1526/2535 + 1/507. Which is the third biggest value? (a) 0 (b) -4 (c) h (d) -1/6 c Let m = -6.41 - -11.41. Let o = 63/2 - 31. What is the second smallest value in 3, o, m? 3 Let w = -38.6 + 35.6. Which is the second biggest value? (a) 5/19 (b) w (c) -2 c Let m = 4 + 37. Let z = m - 41.4. Which is the second biggest value? (a) 2 (b) 1 (c) z (d) 1/5 b Let q(a) = -a**3 + 9*a**2 + a - 6. Let m be q(9). Suppose 2*c - 4*v = 1 + 7, -m*c + v = -2. Let h = 0.006 + 0.394. What is the third biggest value in 1, c, h? c Suppose -g = g. Let f = -0.4 - 2.6. Let t = -5 - f. Which is the second biggest value? (a) g (b) -3 (c) t c Let h = 126 + -122. What is the second smallest value in h, -1, -24, -1/2? -1 Let o be 328/224*-4 + (-2)/14. Let v(s) = 4*s - s**3 + 3*s**2 - 9*s**2 - 3*s + 2. Let t be v(o). Which is the biggest value? (a) t (b) 2/9 (c) 2/21 b Let q = -45 + 42. Let h = 17 - 9. Let u = -7.9 + h. What is the biggest value in q, 1/5, u? 1/5 Let l = 20393/21 + -971. Which is the second biggest value? (a) l (b) -2/3 (c) -1 b Suppose 22 + 28 = 4*u - 2*o, 4*u - 3*o = 51. Suppose 0 = u*z - 10*z + 4. Let r be (-14)/18 + (-1 - z). What is the third smallest value in 0.07, 5, r? 5 Let i = -41 - -40.69. Let w = -3.69 + i. Which is the biggest value? (a) 2 (b) w (c) 3 c Suppose 134*z = 130*z + 72. Let j(g) = -10*g**3 + g**2 - 3*g + 2. Let u be j(2). Let d be (-4)/z + u/45. Which is the biggest value? (a) 4 (b) d (c) 0.1 a Suppose 3*a = -36 + 69. Suppose 5*q - 5 = 0, -j - q - a = -5*j. Let h be (-15)/168 + (-2)/7. What is the third biggest value in j, h, -0.5? -0.5 Let q = -296 - -262. Which is the third biggest value? (a) -3 (b) -2/3 (c) q (d) -2 a Let m = 0.9 + -1.1. Let w = 5.341 + -0.341. Which is the third biggest value? (a) -1 (b) w (c) m a Let a = 0 - 1. Let c = 88.94 + -89. Let n be -1*15/6*-2. What is the biggest value in a, c, n? n Let s = 0.028 - -19.972. Let z = 19.5 - -3.5. Let g = s - z. Which is the third smallest value? (a) 3/2 (b) g (c) 4 c Let k be 2 - (2 - 4/6). Let h(w) = -2*w**2 - 10*w + 30. Let x be h(-7). What is the second biggest value in x, k, 1/3? k Let x be (-30)/3 - (-6 + (-8)/(-4)). Let y(a) = 5*a - 3 + a + 4*a**2 - 3*a**2. Let c be y(x). What is the smallest value in c, 3/2, -0.5? c Let t = 0.04 - -1.96. Let k = -678.62 + 678.5. What is the third smallest value in t, k, 4? 4 Let o = 10 - 13. Let q(a) be the second derivative of a**4/12 - a**3 + 2*a**2 - 3*a. Let c be q(4). What is the third smallest value in 1/6, c, o? 1/6 Let z = 956 + -955.2. What is the second biggest value in -4, -2, -7, z? -2 Suppose 5*w - 3*c - 4 = -5, 0 = -3*w + 2*c. What is the second smallest value in -32, w, 5? w Let u = 0.05 - 0.1. Let n = 0.15 + u. Let w be 6/80 + 3/(-15). Which is the third smallest value? (a) n (b) -1/3 (c) w a Let m = -135 + 135. Let h = 38 + -97. Let o = h + 179/3. What is the second biggest value in m, -5, o? m Let w = 106.5 + -106.2. What is the smallest value in w, 7.8, 0? 0 Let a = 12 + -11. Suppose 0 = y - 2*t - 17, -3*y + 1 + 38 = -2*t. Suppose 2 =
{ "pile_set_name": "DM Mathematics" }
g order. -4, -2/15, 0.5, 0.7, 2, 98 Sort 2/19, -1/4, 1, -2, -15, 484. -15, -2, -1/4, 2/19, 1, 484 Sort 0.4, 0.075273, -4/7. -4/7, 0.075273, 0.4 Put 13845, -0.24, 2/11 in increasing order. -0.24, 2/11, 13845 Sort 5, -4, -2, 1, 16 in increasing order. -4, -2, 1, 5, 16 Put -5, -2, -11, -4, 183 in descending order. 183, -2, -4, -5, -11 Put 15, -5, 148 in increasing order. -5, 15, 148 Sort -1, -31, 50, 0. -31, -1, 0, 50 Sort -5, 2/3, -41, -17, -4 in descending order. 2/3, -4, -5, -17, -41 Put -0.22, 5, -5, 4, -0.3, -213 in descending order. 5, 4, -0.22, -0.3, -5, -213 Sort 2, 5, 15, -2, -270, -5 in increasing order. -270, -5, -2, 2, 5, 15 Sort -1, 3, 5, -5, -194. -194, -5, -1, 3, 5 Put -1, -102, -8, 27 in decreasing order. 27, -1, -8, -102 Put 4, 0, 5, 0.3, 1361/39, -2/9 in descending order. 1361/39, 5, 4, 0.3, 0, -2/9 Put -161, -3, 0 in increasing order. -161, -3, 0 Sort -93, 116, 1, -5, 3. -93, -5, 1, 3, 116 Sort -1, 4, 47, 0, -8 in descending order. 47, 4, 0, -1, -8 Sort 2, -7, -2, -1972 in ascending order. -1972, -7, -2, 2 Sort 35, -14, -3/5, -4 in descending order. 35, -3/5, -4, -14 Sort 3, 15, 442, -0.3, -2/3 in decreasing order. 442, 15, 3, -0.3, -2/3 Put -2, 11, 4608 in increasing order. -2, 11, 4608 Sort 162, 2/7, 3, -0.4, -1/3, 3/98 in decreasing order. 162, 3, 2/7, 3/98, -1/3, -0.4 Sort -5, 3, 5, -16352 in increasing order. -16352, -5, 3, 5 Sort 4, 0, 2, 13, -9. -9, 0, 2, 4, 13 Put 2681, 6, -2/9, -1/7 in decreasing order. 2681, 6, -1/7, -2/9 Put -40, 32, -36 in increasing order. -40, -36, 32 Put -7, 3, -91 in descending order. 3, -7, -91 Sort 3/2, 21.02, 2, -2/13, 2/19, -1 in descending order. 21.02, 2, 3/2, 2/19, -2/13, -1 Sort 217/9, 0, 0.07, 2/5, -4 in increasing order. -4, 0, 0.07, 2/5, 217/9 Sort -4, 2, -1, -41, 4 in descending order. 4, 2, -1, -4, -41 Sort 2, -5, 10, -4, 5, -1 in increasing order. -5, -4, -1, 2, 5, 10 Sort -5, -91, -2, -14, 5 in descending order. 5, -2, -5, -14, -91 Put 41, -14, -170, -3 in descending order. 41, -3, -14, -170 Put 4, -0.5, -8314, 1 in decreasing order. 4, 1, -0.5, -8314 Put -2, 8, -5, -80/11, -11/5 in decreasing order. 8, -2, -11/5, -5, -80/11 Sort -11082, 87, 2, 3 in increasing order. -11082, 2, 3, 87 Put 2, -2/31, -0.2, -27.6 in decreasing order. 2, -2/31, -0.2, -27.6 Sort -2/5, 0.02, -2, -3/4 in decreasing order. 0.02, -2/5, -3/4, -2 Put 2/9, -3, -2, 1.618 in descending order. 1.618, 2/9, -2, -3 Put 0.4, 31/2202, -7 in descending order. 0.4, 31/2202, -7 Sort 4, -2, -7, 2 in decreasing order. 4, 2, -2, -7 Sort -2/5, 2.6, -47/5, 2 in decreasing order. 2.6, 2, -2/5, -47/5 Sort 2/9, 3, -1668, -3/5. -1668, -3/5, 2/9, 3 Put 7, -182, 3, 836 in increasing order. -182, 3, 7, 836 Sort 0, -8, 52, -29. -29, -8, 0, 52 Put -2/19, 3, -12.05 in increasing order. -12.05, -2/19, 3 Sort -125, 1/5, 0, -1. -125, -1, 0, 1/5 Sort 5, -3, -4, 2, 1, 23 in increasing order. -4, -3, 1, 2, 5, 23 Put -0.01, 304/29, 1/6, 0 in increasing order. -0.01, 0, 1/6, 304/29 Sort 63, -3, 305, -5. -5, -3, 63, 305 Sort 0, -2019, 12 in decreasing order. 12, 0, -2019 Sort 3, -0.32, -2/3, 0, -135 in increasing order. -135, -2/3, -0.32, 0, 3 Sort 22, -2, -326 in increasing order. -326, -2, 22 Put 2, -0.7, 23/4, -11, 4 in ascending order. -11, -0.7, 2, 4, 23/4 Sort 1, 669, 47, -4 in decreasing order. 669, 47, 1, -4 Put -220, 6, 2/11 in decreasing order. 6, 2/11, -220 Put -1, 1, 1318, 8 in increasing order. -1, 1, 8, 1318 Sort -2, 11, -1, -619 in ascending order. -619, -2, -1, 11 Put 0, 2, -0.3, -2.781, 1/10 in descending order. 2, 1/10, 0, -0.3, -2.781 Sort 4984, 4.1, 2/5 in decreasing order. 4984, 4.1, 2/5 Put -20/147, -0.08, 0.6, 5 in increasing order. -20/147, -0.08, 0.6, 5 Put 0, 65, -3, 5, 3, -24 in descending order. 65, 5, 3, 0, -3, -24 Put -2, 417, 5, 1 in increasing order. -2, 1, 5, 417 Put -2, -146, -57, 28 in decreasing order. 28, -2, -57, -146 Put -6, -302, -2/5, -4/5 in increasing order. -302, -6, -4/5, -2/5 Sort -570, -11, 72 in decreasing order. 72, -11, -570 Put 282, 5, -4, -3, 2 in decreasing order. 282, 5, 2, -3, -4 Sort 2/5, -1, 1/6, 0.6, -178 in decreasing order. 0.6, 2/5, 1/6, -1, -178 Sort -10, -18, 20. -18, -10, 20 Sort -80502/5, -2, -0.1 in descending order. -0.1, -2, -80502/5 Put -255239, 4, 0 in ascending order. -255239, 0, 4 Put 28, 0, 23, -5 in increasing order. -5, 0, 23, 28 Put 2, -914, -8, 3 in decreasing order. 3, 2, -8, -914 Sort 67, 8, 12, 5 in ascending order. 5, 8, 12, 67 Sort -11, 4, 2, 0, -12 in descending order. 4, 2, 0, -11, -12 Put -5, 134, 2/7, 1.4 in decreasing order. 134, 1.4, 2/7, -5 Put 4, 18651, 0 in descending order. 18651, 4, 0 Sort -4, -15614, 4, -3 in descending order. 4, -3, -4, -15614 Sort 30, 0, -2, 0.0037. -2, 0, 0.0037, 30 Put 5.3, 6, 3399 in increasing order. 5.3, 6, 3399 Sort -70, -187, 3/8, 2 in increasing order. -187, -70, 3/8, 2 Sort -10, -1, 5, -12, -9, 4 in descending order. 5, 4, -1, -9, -10, -12 Sort 0.046, 0, 1/5, -5, 39 in descending order. 39, 1/5, 0.046, 0, -5 Sort 4, -48, 161, 5, -4. -48, -4, 4, 5, 161 Sort -1, -6, -3, -44764, 2 in descending order. 2, -1, -3, -6, -44764 Put 14, -1, -124 in ascending order. -124, -1, 14 Sort -166, -2, -4, -1, 10 in increasing order. -166, -4, -2, -1, 10 Put 200/11, -2/3, 0.2 in descending order. 200/11, 0.2, -2/3 Sort 1, 3, -1175, -2 in ascending order. -1175, -2, 1, 3 Sort -3206, -53, 2, -1/5. -3206, -53, -1/5, 2 Sort 2, 0, -0.03, -1/2, -85 in increasing order. -85, -1/2, -0.03, 0, 2 Put -4, 1/6, -585 in increasing order. -585, -4, 1/6 Put 20/13, 2.46, -54 in ascending order. -54, 20/13, 2.46 Put -5, 171611, 1, 0 in descending order. 171611, 1, 0, -5 Sort 1, -5/208, -1/7, 1/3, 4. -1/7, -5/208, 1/3, 1, 4 Sort 1, 2/9, 4, -1/9, 0.85, 0.4. -1/9, 2/9, 0.4, 0.85, 1, 4 Put 57/73, 0.11, -1, 0 in increasing order. -1, 0, 0.11, 57/73 Put -26, 292, 0, -4, 5, 3 in decreasing order. 292, 5, 3, 0, -4, -26 Sort 46, -19, 2, 1. -19, 1, 2, 46 Put 1/5, 3, -8, 5, -21/145 in increasing order. -8, -21/145, 1/5, 3, 5 Put 1, 95, -2, -19, -5 in increasing order. -19, -5, -2, 1, 95 Sort -5, 21, 4, -67, 19 in decreasing order. 21, 19, 4, -5, -67 Sort -3, 3, 1, -26844. -26844, -3, 1, 3 Put -2, 3, -5, 4789 in increasing order. -5, -2, 3, 4789 Put -0.2, -3.6375, 2 in decreasing order. 2, -0.2, -3.6375 Sort -9011, 1, 2/7, 0.3, 0.1 in increasing order. -9011, 0.1, 2/7, 0.3, 1 Put -8, 5, 12, 1, 3, 2 in descending order. 12, 5, 3, 2, 1, -8 Sort -2, 1, -10, 0, -6, 43 in increasing order. -10, -6, -2, 0, 1, 43 Put -3089, 3, 6 in descending order. 6, 3, -3089 Put -0.4, 16.8, -4, -0.5, 0.07 in decreasing order. 16.8, 0.07, -0.4, -0.5, -4 Sort 203, 66, 0.1, -3 in ascending order. -3, 0.1, 66, 203 Sort -4, 5, 300, -8, 2 in increasing order. -8, -4, 2, 5, 300 Sort -2, -3, 4, 1, 365, -5 in increasing order. -5, -3, -2, 1, 4, 365 Put -4, -78247, -5 in decreasing order. -4, -5, -78247 Sort -18, -4, -327. -327, -18, -4 Sort 2, 1994, -4, 1, -1 in descending order. 1994, 2, 1, -1, -4 Put -8, 0, -41, 1, 5 in decreasing order. 5, 1, 0, -8, -41 Sort 0, -12, 3, 46, 1. -12, 0, 1, 3, 46 Put -1, -2, 0.6, 32, 5, 1/2 in ascending order. -2, -1, 1/2, 0.6, 5, 32 Put 1, 280, -5 in ascending order. -5, 1, 280 Sort 1/4, 0.1, 2/21, -3/2, -2/7, 2 in descending order. 2, 1/4, 0.1, 2/21, -2/7, -3/2 Put 1, 6, -174, -3 in ascending order. -174, -3, 1, 6 Put -17, 194, -4, -1, 1 in decreasing order. 194, 1, -1, -4, -17 Sort 59, 6, 1, 0.3, -1/2 in decreasing order. 59, 6, 1, 0.3, -1/2 Put -2/5, 623/1959, 5, 1/4 in decreasing order. 5, 623/1959, 1/4, -2/5 Sort -3, 255, -1084 in descending order. 255, -3, -1084 Sort 1/112, 19.7, -5/4 in descending order. 19.7, 1/112, -5/4 Sort -7, -3.8, -1, 39 in ascending order. -7, -3.8, -1, 39 Sort -4, 0, 4, 40. -4, 0, 4, 40 Put 4, 0, 1537 in decreasing order. 1537, 4, 0 Sort 40, 26, -12, -30 in increasing order. -30, -12, 26, 40 Put 56, -0.4, 0.18, 0.5, -0.3, 42 in ascending order. -0.4, -0.3, 0.18, 0.5, 42, 56 Put 2, 0, 29, 308 in decreasing order. 308, 29, 2, 0 Sort -2026, -79, 1. -2026, -79, 1 Put -0.1, -1.7, -0.4, -55, 3, 1 in ascending order. -55, -1.7, -0.4, -0.1, 1, 3 Put -1.13, -0.1, 0.1, 36, -1, 5 in ascending order. -1.13, -1, -0.1, 0.1, 5, 36 Sort -90, 4, 169 in decreasing order. 169, 4, -90 Sort 1760, 3, -77 in decreasing order. 1760, 3, -77 Put 15, -1, 5, -
{ "pile_set_name": "DM Mathematics" }
-3)/6. Let p = 0.7 + 0.3. What is the third smallest value in n, f, p? p Let m = -80.06 - -67.06. Suppose 5 = -j + q, 5*q - 5 = -j + q. Which is the biggest value? (a) m (b) 2/5 (c) j b Let t = 5457/112 + -775/16. Let x = -25 + 5. What is the smallest value in -2, x, t, 1? x Let g = -6.6001 + -0.3999. Which is the second smallest value? (a) 1 (b) -0.2 (c) g (d) -5 d Suppose 84*u + 10525 = 109*u. Let p(f) = f + 17. Let d be p(-13). Which is the biggest value? (a) u (b) d (c) -4 a Let v = -119010 - -119013. Let r(x) = -x + 2. Let h be r(4). What is the third smallest value in 5, v, h? 5 Suppose 0 = 5*v + 3*o - 16, -11*o + 10*o + 7 = 0. Let r = 1 + -5. Let g = 6 + r. What is the fourth smallest value in -5, g, v, -6? g Let g = 107/476 - 3/28. Let i = 2046 + -2047.9. What is the third smallest value in -1/5, -0.4, g, i? -1/5 Let w(g) = -9*g + 70. Let r(n) = -17*n + 139. Let i(p) = 6*r(p) - 14*w(p). Let y be i(6). Which is the third smallest value? (a) 6 (b) 0.5 (c) y (d) -0.13 b Let z be ((-6616)/20675)/((4/10)/(-1)). What is the second smallest value in 2, 3, 5, z, -8/7? z Let i be (4/20 - (-1 - -1))*1. Let w = -6.37 + 6.27. Which is the fourth biggest value? (a) i (b) -9 (c) -0.3 (d) w b Let u = -1.826 + 4.826. Which is the smallest value? (a) u (b) -1/3 (c) 379/3 b Let u = -0.00134 + 5.00134. What is the fourth smallest value in -0.2, 0.5, 27, u? 27 Let x be (4/(-5))/(407/(-55) - -6). Let q(d) = -2*d**2 + 37*d - 18. Let i be q(18). What is the third smallest value in i, 4, 3, x? 3 Let p = -42946 + 858609/20. Let q = p + 74/5. Which is the third biggest value? (a) -5/7 (b) -3/5 (c) q c Suppose -6*l - 4 = -4*i - 7*l, i + 2*l = 1. Let n = 10.9 - 7.9. Which is the second smallest value? (a) i (b) -2/15 (c) n (d) 0.2 d Let p be -1 + 3/((-90)/12). Let u = p + 29/35. Which is the second biggest value? (a) 1/4 (b) -3 (c) u (d) 15 a Let m = -7.295 - -7.295. Which is the smallest value? (a) 156 (b) m (c) -2/5 c Let l be ((-6)/(-9))/(1*2). Let r = 3523.1 - 3523. What is the second smallest value in l, r, 0.7? l Let t = -4.2 + 36.2. Let m = -30.8 + t. Let s = m + 0.8. What is the second smallest value in -0.4, 3/2, -9, s? -0.4 Let m be (-8)/((-3960)/145) + (781/99 - 8). What is the third biggest value in 9, -16, 2/9, 0.2, m? 0.2 Let v = -23 - -41. Let d = 10 + v. Let y = 27.7 - d. Which is the second smallest value? (a) 2 (b) -1/5 (c) y b Suppose 2*t - 6 = -0*t. Let j be 6/(-14)*(2 - t). Suppose 121*p = 213*p - 116*p - 48. Which is the fourth smallest value? (a) -22 (b) j (c) -0.5 (d) p b Let h(f) = -50*f - 8355. Let m be h(-165). Which is the biggest value? (a) m (b) -3 (c) 1/39 c Let k be (-8)/96 - 68/12*(-2)/(-56). Which is the fourth biggest value? (a) k (b) -3 (c) 0.6 (d) 1 b Suppose -50*g = -27*g - 322. Which is the biggest value? (a) g (b) 2 (c) 0.4 (d) -2/5 a Let y = -334356 + 2345143/7. Let x = y + -670. Which is the fourth biggest value? (a) 0 (b) -1 (c) -0.3 (d) x d Let q be ((-23)/(-46) - (1 + -3))/(30/(-20)). Which is the second smallest value? (a) 8 (b) -121 (c) q c Let s = 12767.1 - 12767. Which is the fifth biggest value? (a) -0.2 (b) 1/23 (c) -1/9 (d) s (e) -9 e Let q = 14270 - 28539/2. What is the biggest value in q, 28, -0.3, 2/5, 3? 28 Let f(l) = -l**2 - 17*l - 11. Let c be f(-16). What is the fourth biggest value in c, -2/11, -0.12, 0.18, 0.3? -0.12 Let l = -0.313 + 0.013. Let o be (2 - -5)/385 - (-1)/(-5). Which is the biggest value? (a) o (b) 6 (c) 4 (d) l b Let p = -855719/120 - -7131. What is the smallest value in -3/4, -0.2, 0.13, p? -3/4 Let w = 39968 - 39868. Which is the biggest value? (a) -2/7 (b) w (c) -0.04 b Let r be 1/(-21)*-93 - (-36)/63. Which is the third smallest value? (a) -0.3 (b) -3 (c) 26.3 (d) r (e) -1/4 e Let w = -2.54 + -1.37. Let n = w + -0.69. Let x = -5.8 - n. Which is the second smallest value? (a) 0 (b) 0.2 (c) x a Let h = -4/131 - 1361/2620. Let z = -1154 - -11547/10. Let k = h - z. Which is the third biggest value? (a) k (b) -1/3 (c) 0.5 a Let v = 341.24 - 6.24. Let o = v + -367.1. Let q = -32 - o. What is the third biggest value in q, -4, -1? -4 Let y = 434 + -431. Let q(t) be the first derivative of t**3/3 - 2*t**2 - t + 5. Let a be q(5). What is the third biggest value in a, 1, y? 1 Let z = 13426 - 13440. Let h = 4 - 5. Let q be ((-26)/(-12) - 2)/h. Which is the second smallest value? (a) q (b) -0.2 (c) z b Suppose 4*c + 1282 = -302. Let m = c - -1972/5. What is the smallest value in 3, -3, m? -3 Suppose 0 = -f - 158*q + 161*q + 10, 3*f + 4*q + 35 = 0. What is the second biggest value in -1, f, 5, -9/7? -1 Suppose 4*x = -3*d + 9 + 18, -d = -2*x + 1. Let p = -5 + 2. Let v = -0.8565 - -0.7565. What is the second biggest value in d, v, p? v Let l = 0.931 - -0.069. What is the second biggest value in 99, l, -1.4? l Let h be (-1)/(-8) - (-2)/(-8). Let d = -2.04463 + 0.64463. What is the second smallest value in -0.1, h, d? h Let n be 1 + (-1)/(4/(-8)). Let u = 1131/2 - 565. What is the second smallest value in 10, u, n? n Let o = -47/5 + 10. Let x = 223 - 186. Which is the second biggest value? (a) o (b) x (c) -2/3 a Let b = 0.97 + 17.63. Let m = -0.4 - b. Let q = 2199 + -2195. What is the second biggest value in 0, m, q? 0 Let h = 685199/11160 - -5/2232. Which is the third biggest value? (a) -4 (b) h (c) -2 a Let g = -33.568 - -28.568. What is the fifth smallest value in g, -0.3, -0.4, -5.5, 4? 4 Let y = 19.01 + -18.49. What is the third smallest value in y, -4/7, 1/4? y Suppose -57*l - 43776 = 135*l. What is the second smallest value in 1, -11, l? -11 Let o(z) = 6*z**2 - 9. Let y(b) = 17*b**2 - 27. Let w(a) = 11*o(a) - 4*y(a). Let f be w(3). Let p be 3/6*f/3. What is the third biggest value in 5, p, 0.5? p Let g = -0.38 - -4.58. Let t = -0.8 - g. Let m = 1910 + -1914. Which is the fourth smallest value? (a) 0 (b) m (c) t (d) 1/4 d Suppose -2*c = q + 69, q + 1 = 4. Let m be c/(-1008) + (-4)/14. What is the biggest value in 0.1, -0.4, m? 0.1 Suppose -537 - 891 = 6*w. Let x be 90/(-28)*w/(-204). Which is the third biggest value? (a) x (b) -1/3 (c) -1 (d) 3/5 c Let u = -263 + 261. Let f be 2 - (5 + (-18)/6). Let g = 0.1 - 0.6. What is the biggest value in g, f, u? f Let m be 16 + ((-30448)/3003 - 6). Which is the third smallest value? (a) -0.3 (b) 4 (c) m b Let t = -14.1 - -363.6. Let m = t - 349. Let o = 0.2 - 0. Which is the second biggest value? (a) 1 (b) m (c) o b Let a = -459 - -104. Let y = -351 - a. What is the third biggest value in -1, -5/4, y? -5/4 Let a = -59.3 + 59.3. Let j = -44/201 + -2/603. What is the fourth smallest value in a, 2/19, -0.2, j? 2/19 Let o = 633 + -635. Let h(d) = -d**2 - 1 + 1 + 2. Let j be h(o). What is the smallest value in -3, 0, 5, j? -3 Let q = -1 + 0.7. Let d = 0.2 + q. Let f = -2713 + 2712.83. What is the biggest value in -5, f, d? d Let c(f) = 47386*f - 473865. Let h be c(10). Let w = -8 - -5. What is the biggest value in -17, h, w? w Let t = 14071.977 + -14072. Which is the second smallest value? (a) t (b) 0.3 (c) 2 (d) 0.05 d Let m = 267 - 133. Let h = 140 - m. What is the third smallest value in -2/11, 0.5, 0, h? 0.5 Let v = 982 - 985. What is the smallest value in -11/7, 19, v? v Let c be (-5)/(10/8) - 77. Let t be ((-75)/c - 1)/((-7)/21). What is the second biggest value in t, 1.4, -2/7, 1/8? t Let s = -23.68 + 11.68. What is the smallest value in 3/4, s, -2? s Let h = -63.68 - -63.78. Let l be (-3)/58 + 3 + -3. What is the second biggest value in h, 4, l? h Let r be 8/12 - (-1)/(-3). Let h = -213.012 + 213. Let o = -0.412 - h. Which is the third biggest value? (a) -0.1 (b) -5/2 (c) o (d) r c Let a = -39.97 + -5.13. Let j = -45 - a. What is the fourth smallest value in -0.2, 0.2, j, 0.08? 0.2 Let m = 17.6 - -43.2. Let k = -60.6 + m. What is the third biggest value in -14/3, k, -1? -14/3 Let g be 72/(-21) + 3 + 1. Let n = -17797/5 - -3559. What is the fourth biggest value in g, -2/7, 0.6, n? n Let w = -17706 + 17705.9. Which is the fourth biggest value? (a) w (b) -13 (c) -4 (d) -1.3 (e) 3 c Let n = -211 + 213.15. Let o = n - 2.05. Which is the smallest value? (a) -2/13 (b) o (c) -3 c Suppose 25*t + 561 = 23*t - 3*q, -852 = 3*t + q. Let u = 1
{ "pile_set_name": "DM Mathematics" }
+ 7, 0 = -2*s + 3*r - 3 + 20. Calculate the common denominator of -77/20 and s*214/(-20) + 1. 20 Let w = 22 - 23. Calculate the lowest common multiple of 6 and (-138)/(-24) + w/(-4). 6 Suppose -2*l + 4*j = -16, 3*j + 8 = 5*l + j. Suppose l = -5*d - 9 + 29. What is the lowest common multiple of d and 8? 8 Let k(o) = -o**2 - 3*o - 6. Let f be k(-4). Let c(w) = w**2 + 9*w - 2. Let y be c(f). Calculate the smallest common multiple of (-18)/(-24) - (-2)/y and 10. 10 Let b(k) = -10*k + 2. What is the smallest common multiple of b(-1) and 15? 60 Let q = -42683/3930 - -18/655. Find the common denominator of q and 99/10. 30 Let u(a) = -9*a. Calculate the least common multiple of u(-2) and 18. 18 Let i(l) = -l + 4. What is the least common multiple of i(-5) and 70/8 - 1/(-4)? 9 Suppose -4*a - 3*w + 15 = 1, 2*a - 3*w + 2 = 0. Calculate the common denominator of a - 1 - (-170)/(-16) and -77/4. 8 Let h(j) = -j**2 + j + 9. Suppose -5*r + 9 + 6 = 0. What is the smallest common multiple of h(3) and r? 3 Let y = -30/383 + -16169/3830. Let t be (-4)/(96/(-76317)) - 3. Let i = 3184 - t. What is the common denominator of i and y? 40 Let o(v) = -v**3 - 4*v**2 - 2. Let h be o(-2). Let j(l) = -l + 6. Let q = -12 + 20. What is the lowest common multiple of j(h) and q? 16 Suppose 5 = 6*r - 7. Calculate the smallest common multiple of r and 16. 16 Let l = 96 + -79. What is the smallest common multiple of l and 10? 170 Suppose 2509 = -2*x - 27. Let h = -5147/4 - x. What is the common denominator of h and 63/10? 20 Suppose -3*r + 5*r + 18 = 0. Let h(j) = j**2 - 5*j + 12. Let f be h(8). What is the common denominator of ((-7)/(-3))/(r/f) and 57/2? 6 Let n be 413/(-16)*(-735)/(-14). Let v = -1354 - n. What is the common denominator of -75/16 and v? 32 Suppose 10*g - 7*g - 33 = -2*m, 5*m - g - 57 = 0. Calculate the smallest common multiple of 5 and m. 60 Suppose -5*l = -4*u - 7, 2*l = 5*u - 1 - 3. Let p(s) = -s + 2. Let b be p(-5). Let j = b - l. Calculate the smallest common multiple of j and 2. 4 Let f = -7 - -15. Let j(z) = -2*z**2 - 6*z - 7. Let u be j(-5). Let w = -11 - u. What is the smallest common multiple of f and w? 16 Let t = 188846/153 - 34717/17. Let h = 807 + t. Find the common denominator of 13/5 and h. 45 Suppose -18*m + 18 = -16*m. Calculate the lowest common multiple of 21 and m. 63 Let s(f) = -6*f + 13. Let i(c) = c**3 + 8*c**2 + 6*c - 6. Calculate the lowest common multiple of i(-7) and s(2). 1 Suppose 13*r - 10*r - 30 = 0. What is the lowest common multiple of r and 22? 110 Suppose -24 = 4*i - 12*i. What is the least common multiple of 6 and i? 6 Let j = 11/48 + -767/48. Let k = 19594/9 + -2184. Find the common denominator of k and j. 36 Let t = 162 - 983/6. Calculate the common denominator of -79/36 and t. 36 Suppose 2*m + 81 = -m. Find the common denominator of -89/6 and m/12*74/(-30). 60 What is the common denominator of 3/20 and 206/(-40) - 3/(-12)? 20 What is the least common multiple of -6*(-4)/(-18)*-3 and 18? 36 Let s(x) = 3*x - 1. Let w be s(1). Suppose -4*j - 18 = -w*v, -1 = 3*v + 4*j + 12. Calculate the common denominator of 51/5 and 111/(-22) - v/(-2). 55 Suppose -4*d - 3 = -3*z - 4, 3 = 5*z - 2*d. Let p = z + 3. What is the least common multiple of p and 8? 8 Let r be 0 + -2 + (-15360272)/1316. Let f = r + 11674. Let l = f - -17008/1645. Find the common denominator of l and -16/7. 35 Let k = -140 - -154. Suppose 2*a + 0*a + 4*f + 18 = 0, f = -5. What is the smallest common multiple of a and k? 14 Let f(v) = 2*v**2 - 2. Let l = -12 - -18. What is the least common multiple of l and f(-3)? 48 Let a(h) = 4*h - 1. Let b(z) = 5*z - 1. Let q(v) = -6*a(v) + 5*b(v). What is the least common multiple of 2 and q(6)? 14 Let y be (-1)/3 - 548/3. Suppose -2*k - 8 = 0, -n + k + 5 = -0*k. What is the common denominator of -37/7 and -1*y/(-12)*n? 28 Let d be 937/(-12)*3/2. Let y = -116 - d. Let j = 2809/12 + -730/3. Calculate the common denominator of y and j. 8 Let n(g) = -g**3 - 7*g**2 - 1. Let z be n(-7). Let w be (0 - z)*3*7. Suppose 4 + w = 5*d. What is the lowest common multiple of 1 and d? 5 Let h = 2675/136 + -532/17. What is the common denominator of 47/7 and h? 56 Let f = 1/68 - -671/612. Let x = -1721/30 - -179/3. Calculate the common denominator of f and x. 90 Let w = 389807/47730 - 2/7955. Find the common denominator of w and 43/4. 12 Let n(h) = 3*h + 1. What is the least common multiple of n(3) and 6? 30 Suppose -15 = 5*b + 10. Let h(o) = o**2 + 5*o + 2. What is the least common multiple of h(b) and 2? 2 Let b(p) = -p**3 - 10*p**2 - 9*p + 8. Let n be b(-9). Find the common denominator of ((-162)/40)/(n/(-20)) and 49/12. 24 Let k be ((-10)/(-4))/((-3)/6). Let s = k + 1. Calculate the common denominator of 69/10 and (s + (3 - 3))/(-7). 70 Let k = 67045/12 - 5592. Find the common denominator of k and 99/8. 24 Let h = 104569/22 - 4752. What is the common denominator of h and -119/18? 198 Let j(y) = y**2 + 5*y + 2. Suppose r = 7*r + 54. Let a(q) = -q**3 - 10*q**2 - 8*q + 13. What is the lowest common multiple of a(r) and j(-5)? 4 Calculate the common denominator of 73/4 and ((-5)/(-10))/(12/(-291)). 8 Let w = -2227/76 - 15/76. Calculate the common denominator of w and -1/8. 8 What is the common denominator of -63/22 and 2/(-4)*(-3)/5? 110 Let f = 10/97 - 6773/776. Calculate the common denominator of f and 43/5. 40 Let j = 173165/22 + -7869. Let y = -364183/6 + 60199. Let i = -10520/21 - y. Calculate the common denominator of i and j. 154 Let z(f) = -f**3 - 8*f**2 + 5*f - 26. Calculate the smallest common multiple of 55 and z(-9). 110 Let z be 224/105 - 4/30. What is the common denominator of 0 + z + (-81)/(-21) and 33/7? 7 Let o = -68/53 - 3115/1166. Let v = -41/1540 - -1/28. Let x = 4241/660 - v. What is the common denominator of o and x? 132 Let d(c) = -3*c - 4. Let t be d(-4). Let p = t - 0. Calculate the smallest common multiple of 4 and p. 8 Let b(j) = -2*j - 2. Let o be b(2). What is the common denominator of -29/16 and 46/8*o/30? 80 Let d = -12 + 18. Calculate the lowest common multiple of d and 6. 6 Calculate the smallest common multiple of 6*-2*(-3)/9 and 8. 8 Let x be 45/73895*2/3. Let r = 5291176/724171 - x. Let f = r + 27/49. What is the common denominator of f and -38/11? 77 Let p = -35/26 + 818/91. Calculate the common denominator of p and -97/16. 112 Let t = 71 - 23. Suppose 3*v + t = 7*v. Calculate the smallest common multiple of v and 16. 48 Let b(j) = -j + 10. Let n(i) = -i**2 - 5*i - 2. What is the least common multiple of b(-4) and n(-4)? 14 Let k = -2257/4 + 550. Let i = 1843/4 + -465. What is the common denominator of i and k? 4 Let m = 2525 + -5705. Let t = 7568508 + -106003699/14. Let a = t - m. Calculate the common denominator of a and 49/10. 70 Suppose -4*c - 1 = -9. Let g(l) = l**3 + 3*l**2 - 3*l + 4. Let x be g(-4). Suppose c*v = -x*v + 18. What is the lowest common multiple of v and 9? 9 Let p be -1 + 4/((-12)/(-9)). Calculate the lowest common multiple of 14 and p/(-6) - 49/(-3). 112 Suppose 3*r = -t + 13, r - 7 + 40 = 2*t. What is the least common multiple of t and 38? 304 Suppose -2*x - 3*x = -90. What is the lowest common multiple of 22 and x? 198 Let v = -4871 - 85. Let u be (-138854)/3*12/112. Let y = u - v. What is the common denominator of y and 55/4? 28 Let m be (711249/24)/(-7) - -1. Let a = -2101 - 2139. Let c = a - m. What is the common denominator of -33/10 and c? 40 Find the common denominator of 99/20 and (-306)/135*(-12)/(-56). 140 Let g = 4177/1050 - -7/75. Calculate the common denominator of g and (2/5)/(48/(-70)). 84 Let v = 61297/10 - 6124. Calculate the common denominator of v and -34/5. 10 Let q = -49/393 + 32813/7860. Calculate the common denominator of q and -43/22. 220 Let x(p) = 2*p**2 + 24*p + 47. Calculate the lowest common multiple of 4*((-6)/8)/(-1) and x(-10). 21 Suppose 4*g + 11 = -5*d, -5*g - 6 = 4*d + 1. Let a = 899/1270 - 1/127. Find the common denominator of d/18*(-248)/6 and a. 90 Let r = -269288/17 - -15864. Let l = r + -10211/374. Calculate the common denominator of l and -75/4. 44 Let i = -39494/17 + 2326. Let z = -1489/136 + i. What is the common denominator of (-26)/(-40) - 2/1 and z? 40 Let g = 3605 + -50583/14. Let x = -178853/6141310 - -1/14870. Let a = -23421/4130 + x.
{ "pile_set_name": "DM Mathematics" }
= 0, -5*f + d + 5 = -4. Solve -f*l = -5*y + 14, -3*l = 3*y - 7*l for y. 4 Let l be (-36)/(-20) - 6/(-5). Solve -a - 7 = -l*s, 0*s + 4*s - 13 = 5*a for a. -1 Let o be 1*((-12)/(-3) - 4). Suppose -6*p - 23 + 65 = o. Solve -3*j - 2*u + 17 = 0, -5*j + 3*u = -p - 15 for j. 5 Let y be ((-18)/(-15))/(6/240). Suppose 2*b + y = -0*b. Let a = b + 29. Solve -w + 5*t = 25, a*w - 5*t = 2*w - 25 for w. 0 Suppose -2*x + 3*j - 22 = 260, 0 = -5*x - j - 705. Let a = x - -152. Solve 2*t + 4*p = 2 + 2, a = -5*t - 3*p for t. -4 Suppose -3*l = -3*i - 54, 0*l + 2*i + 62 = 4*l. Suppose -l*x = -23 - 172. Solve -5*f - 3*u + 10 = -u, 0 = -2*f - 3*u + x for f. 0 Suppose 3*l + 2 - 11 = 0. Let y(s) = -s**2 + 54. Let v be (-2)/9 - 61/9. Let h be y(v). Solve -18 = -3*z - h*d, -l*z = -z + d - 5 for z. 1 Suppose -4*l + 4*v = -24, -22 = -3*l + 6*v - 4*v. Let f(z) = -z**2 + 11*z + 12. Let b be f(l). Solve -3*n + 4*g = -b, n - 2 = 2*n + g for n. 2 Let h = 778 + -765. Solve 3*u + 11 = 4*u + 2*w, -2*u + 3*w - h = 0 for u. 1 Let y be (-72)/(-56) + (-6)/21. Let t be -2 + y - (1 - 3). Solve 1 = -q - 3*u + 2, q + 2*u - t = 0 for q. 1 Let g(x) = -x**3 + 8*x**2 - 2*x + 13. Let q be g(8). Let f be (-4)/(-2) + 4 + q. Solve 4*s + 12 = -3*n + n, -2*s = -f*n + 22 for n. 4 Suppose 0 = 9*h - 2*h. Suppose h = 8*l - 28 + 4. Solve 5*c = 3*j - 3, l*c = -2 - 7 for j. -4 Suppose 4*z - 6*z = 0. Let u be (z - (-15)/(-10))*(-8)/6. Solve -5*x = -u*o, o = -3*x + x - 9 for x. -2 Suppose -2*a + 7*a = 230. Suppose 3*p - a - 44 = 0. Let i be ((-10)/p)/(2/(-12)). Solve -5*u = 2*d, d - i*d + u = -7 for d. 5 Let y(s) = s**3 - 12*s**2 + 15*s - 16. Let h be y(11). Suppose 4*q - 3*j = -2*j + h, 14 = q - 2*j. Solve 1 = -3*a - 3*c + 22, -2*c = -2*a + q for a. 5 Let d be 580/28 + 6/21. Let i = d + -18. Solve -4*k = 16, 0*m + 17 = m - i*k for m. 5 Let b = 121 + -11. Let o be (-4)/22 + 240/b. Solve 4 = -2*u - 2*s, -5*s - 30 = -o*u + 1 for u. 3 Let w = 845 - 820. Solve 3*c + c + q = -17, -5*c - w = 5*q for c. -4 Let w = 59 - 57. Let b be -4*2/(-4) + (2 - w). Solve b*i + 4*z = -6, -27 = -5*i + 3*z + z for i. 3 Let r = -10 - -10. Suppose i = 4*k - 12, 3*i + r*i - 3*k = 9. Solve 0*l = 2*j + 4*l + 22, j + i = -l for j. -5 Suppose 40 = 4*x - 16. Suppose -p + 8 = g, -g + 0*p - 4*p + x = 0. Solve -3*q = -l - 6*q + 11, 0 = -2*l + q - g for l. -1 Let b(r) = r**3 - r**2 + 5. Let v be b(0). Suppose -105 = -5*g + v*k, 0*g + 5*k + 39 = 2*g. Solve 2*o = -2*h - 2, -4*h + 2*o + 6 = g for h. -3 Let w(g) = -g**2 - 26*g - 31. Let t(h) = h**2 + 27*h + 32. Let i(v) = 3*t(v) + 4*w(v). Let c be i(-21). Solve c = q + 3*b, -2*q + 6 = 5*b - 17 for q. -1 Let r = 27 + -29. Let u be r*((-6)/2 - (-2 - -1)). Solve -4*q + 5 = q + 5*p, u*q + 5 = 5*p for q. 0 Let q = -134 - -169. Solve 2*p + q = -3*p - 5*m, p + 11 = -2*m for p. -3 Suppose 0 = -16*q + 192 - 32. Solve 3*s + 4*r - 3 - q = 0, 0 = 5*s - 2*r - 13 for s. 3 Let w(g) = g**2 - 6*g - 14. Let b be w(8). Solve -4*v = -0*d + 2*d + 10, -3*d - b*v + 5 = 0 for d. 5 Suppose 2*l = -2*f + 6, 10 - 9 = 3*f - 5*l. Solve 26 = f*c + 4*o, o = 4*c - 2*o - 8 for c. 5 Suppose -5*m + 64 = z, m + 29 = z - m. Suppose 0 = x + 57 + z. Let p be ((-2)/4)/(8/x). Solve -2*y = -2*s + p - 2, -5*y = 5*s + 20 for y. -3 Suppose -3*a + 6 = -0*a - 3*v, a = 2*v. Suppose -5*c = -3*o + a - 27, -4*o + 2*c - 26 = 0. Let t be (16/(-6))/4*o. Solve 0 = 2*r + 10, -14 = t*b + r + 11 for b. -5 Let g be (-115)/23*(-3)/5. Solve 0*u + g*i + 18 = 3*u, u - 12 = 3*i for u. 3 Let u(i) = i**2 + 11*i - 99. Let h be u(7). Solve 3*q + 3*r + h = -r, 5*r + 15 = 0 for q. -5 Let l be (-42)/7*2*3/(-3). Solve -12 = -5*m + 8, 0 = k + 2*m - l for k. 4 Let f(c) = -14*c + 203. Let d be f(14). Solve d*p = 2*v + 2*p - 35, -5*p = -5*v + 50 for v. 5 Let b be (-6 - (-5 - 1))/(-5). Solve b = 2*j + 2*v - 14, 5 = -2*v + 15 for j. 2 Suppose 5*z = 54 + 36. Let k be (-30)/(-7) - z/63. Solve -2 = -i, -f - 4 = -0*f - k*i for f. 4 Suppose -5*v + 153 = -2*v. Let f(d) = d**3 + 5*d**2 - 6*d - 38. Let r be f(-4). Suppose -r*x + v = x. Solve -3*u - 21 = -3*g, -x = -4*u - 5*g - 0 for u. -2 Let l(i) = 17. Let s(w) = w - 32. Let q(a) = -5*l(a) - 3*s(a). Let z be q(3). Solve -o = 2*t + z + 2, 3*o = -t - 2 for t. -2 Let p = 17 - -2. Suppose -5*r - 3*b = -76 + p, 0 = -3*r + 3*b + 15. Solve 3*q = -4*x + 6*q + 31, 5*q + r = -4*x for x. 4 Suppose -4*d = 2*v - 18, -2*v + 13 = v - d. Suppose 0 = -l - v*l + 2*l. Solve -u - 2*s + 3 = -l*u, -4*s = -3*u + 9 for u. 3 Suppose -4*d - 14 = 3*n, n - 3*n = 5*d + 21. Let p = -96 + 41. Let m be (-5 - p/10)*4. Solve -n*j = c + m, 0 - 5 = c - j for c. -4 Let c = -61 + 68. Let n(a) = a + 2. Let r be n(c). Solve -3 + 1 = k - 4*b, r = 5*k - b for k. 2 Let b(d) = d - 2. Let x be b(-6). Let s(l) = -5 + 1 - 5*l + 4*l + 1. Let h be s(x). Solve 4*v + 10 = -2*q, q = -h*v - 6 - 5 for q. -1 Suppose 0 = 2*u + 4 - 16. Let j(o) = 3*o - 13. Let s be j(u). Suppose k - a = s, -2*a - 16 = -4*k - 0*a. Solve -x + 6*x - 8 = -4*f, -3*x - k*f + 6 = 0 for x. 0 Suppose 2*p + 2*w - 6 = 0, 0 = p - 0*w - w - 3. Suppose 0*s = -p*s. Solve 3*m - 6 = b - s*m, 4*m - 8 = 2*b for b. 0 Let g = 15 + -12. Let s = g + -1. Suppose s*m + 1 - 11 = 0. Solve 2*i - 10 = 5*w, 5*i = -m*w + 2*i + 15 for w. 0 Suppose 3*h - 3*o - 21 = 0, -5*o + 5 = h - 2*h. Let k(r) = -67*r. Let c be k(0). Solve 5*q + 1 = 2*s - 14, -2*s + h = c for q. -1 Let n be -2 + 2 + (-8 - (0 - 9)). Solve m = -5*d - 10, 0*m = -m + 4*d - n for m. -5 Let f = 1 + 2. Let w = -70 + 72. Solve -w*g + p + 0 - f = 0, p = 4*g + 11 for g. -4 Let w = -34 + 37. Suppose k = 3*l - 6, 0*k + 2*k - 15 = -w*l. Suppose -y + 10 = -6. Solve 0*x - 4*c = -4*x - y, -4*x - k*c = 9 for x. -3 Let u(y) = y**2 - 6*y - 6. Let j(x) = x**2 + 6*x - 8. Let c be j(-8). Let t be u(c). Solve t = 2*d - 4*f, -2*d - 13 = -d + 4*f for d. -1 Let o(j) = -j**2 + 7*j. Let y be o(5). Let w be 16/9 + y/45. Solve -2*v - 10 = u, -w*v = 2*u - 6*v - 12 for u. -2 Suppose 3*q + 40 = -3*w - 17, 2*q + 41 = w. Let y(x) = -2*x - 36. Let f be y(q). Solve 3*j - 5 = -f*d, -d - 15 = 2*j + 2*j for j. -5 Let a be (252/(-27) - -10)*3. Solve -c - 3 = -a*z - 9, -10 = -2*z - 3*c for z. -1 Suppose 2*m - 11 = -q, 4*q + 3 - 15 = 0. Suppose 4*w - 6 = 5*p, -4*w + 20 = -2*p + m*p. Suppose -p*b = b. Solve 3*t - j + 3 = -4, b = -t - 5*j - 29 for t. -4 Suppose 7*x = x + 36. Let a(c) = -c**2 + 7*c - 6. Let s be a(x). Solve -4*h + s*g = 3*g + 19, -g = 3*h + 13 for h. -4 Let j = -207 + 209. Solve -4*z = -2*h + 6, -2*z + 6 = -j*h - 2*h for h. -3 Suppose -j + 3*o - 1 = 15, -2*j = -3*o + 17. Let m = 6 - j. Suppose 70 = 17*l + 19. Solve -3*n = -l*d - m - 5, 5*d + 8 = n for d. -1 Let q be (-4)/10 - 5/((-225)/153). Solve 3*z = 2*m + 22, -q*z + 5*m = -28 - 9 for z. 4 Let m(y) = y**2 - 40*y + 85. Let c be m(38). Solve -2*h - 8 = 0, -c = -6*j + 3*j + 3*h for j. -1 Suppose -3102 = 9*k - 3264. Solve 0 = -j + 2 + 1, -5*j + k = m for m. 3 Let p be 6/(-12) - 1/(-2). Let o be 3 - 2/(-8)*p. Suppose -o*f + 20 = -2*z, 5*z = 4*f - 8 - 28. Solve -3*g = 4*n - 17 + 40, -f*n = 4*g + 24 for n. -5 Let m(s) = -4*s + 25. Let k be m(5). Suppose -4*w = -k - 7. Solve -4*p = -4*t + 8, 2*p - t + w + 1 = 0 for p. -2 Let s be -3 + 6*25/30. Solve -2*m - d - 3*d + s = 0, -2*d + 31 = -5*m for m. -5 Suppose -4*s - 4 = 4*r, 0*s - 1 = -3*r - 2*s. Solve -3*p - 10 + 23 = -t, r*t - 5*p = -19 for t. 2 Suppose 32 = 3*l + 4*b, 0 = -l - 0*b - 4*b + 24. Suppose -3*z + 7*z - 2*m = 4, 0 = l*z + 3*m - 14. Solve -z*j + 2*r - 6 = 2, 5*j + 5*r - 30 = 0 for j. 1 Suppose 5*o - 12 = 4*n, o - 3*o + 12 = 2*n. Solve o*x - 13 = -4*v - 45, -v + x = 0 for v. -4 Suppose -2*b + 3*q - 4 = 0, -1 = -2*b - 5*q + 11. Suppose 4*v = -5*x + 17, -2*x + b + 13 = -2*v. Solve -5*z - 8 = -3*d, -3*d - 3*z + x = 29 for d. -4 Let j(l) = -2*l**2 + 36*l + 42. Let h be j(19). Solve -32 = h*a + 4*r, 5*r - 2*r + 12 = 0 for a. -4 Let v = 83 - 75. Suppose 0 = x - 3*x + v. Let p = -3 + 5. Solve 5*g + 4 = -p*m, x = 2*m + 3*g - 2*g for m. 3 Let h = -15 + 7. Suppose 0 = -n + 6 - 2. Let y be -1*n/h*6. Solve 0 = -4*r + 12, 2*x + 8 + 5 = y*r for x. -2 Suppose -4*a + 3*a = 16. Let m(k) = -k**3 + 6*k**2 + 3*k - 2. Let g be m(6). Let j = g + a. Solve 2*p - 4*o = -0*p - 20, j = -3*p - 5*o + 14 for p. -2 Let z(s) = -s**2 - 8*s - 14. Let g be z(-4). Let t be (35/10)/(g/4). Solve -b + 2 = -y, -4*b + 5*y = 4
{ "pile_set_name": "DM Mathematics" }
are root of 48642 to the nearest integer? 221 What is the fifth root of 1285 to the nearest integer? 4 What is the cube root of 3727 to the nearest integer? 16 What is the square root of 21215 to the nearest integer? 146 What is 5811 to the power of 1/3, to the nearest integer? 18 What is 149374 to the power of 1/3, to the nearest integer? 53 What is the square root of 97715 to the nearest integer? 313 What is 26022 to the power of 1/9, to the nearest integer? 3 What is 2520 to the power of 1/2, to the nearest integer? 50 What is 50499 to the power of 1/6, to the nearest integer? 6 What is 15363 to the power of 1/2, to the nearest integer? 124 What is 4904 to the power of 1/3, to the nearest integer? 17 What is 139672 to the power of 1/2, to the nearest integer? 374 What is the cube root of 980 to the nearest integer? 10 What is 5389 to the power of 1/3, to the nearest integer? 18 What is 4758 to the power of 1/2, to the nearest integer? 69 What is 11224 to the power of 1/2, to the nearest integer? 106 What is the seventh root of 10420 to the nearest integer? 4 What is the fourth root of 1091 to the nearest integer? 6 What is the square root of 944 to the nearest integer? 31 What is 348 to the power of 1/2, to the nearest integer? 19 What is the third root of 1365 to the nearest integer? 11 What is the sixth root of 2056 to the nearest integer? 4 What is the fourth root of 4894 to the nearest integer? 8 What is 10856 to the power of 1/7, to the nearest integer? 4 What is 1942 to the power of 1/8, to the nearest integer? 3 What is 17073 to the power of 1/2, to the nearest integer? 131 What is the eighth root of 1931 to the nearest integer? 3 What is 14208 to the power of 1/5, to the nearest integer? 7 What is the square root of 111575 to the nearest integer? 334 What is 28595 to the power of 1/8, to the nearest integer? 4 What is the cube root of 5701 to the nearest integer? 18 What is the seventh root of 1001 to the nearest integer? 3 What is the square root of 202 to the nearest integer? 14 What is the cube root of 1012 to the nearest integer? 10 What is the sixth root of 4379 to the nearest integer? 4 What is 10295 to the power of 1/2, to the nearest integer? 101 What is the third root of 270 to the nearest integer? 6 What is 4937 to the power of 1/8, to the nearest integer? 3 What is the fourth root of 33793 to the nearest integer? 14 What is 1175 to the power of 1/2, to the nearest integer? 34 What is the eighth root of 55871 to the nearest integer? 4 What is 168248 to the power of 1/6, to the nearest integer? 7 What is the fifth root of 26268 to the nearest integer? 8 What is the cube root of 36797 to the nearest integer? 33 What is the ninth root of 1231 to the nearest integer? 2 What is 21393 to the power of 1/9, to the nearest integer? 3 What is 2500 to the power of 1/5, to the nearest integer? 5 What is 102028 to the power of 1/8, to the nearest integer? 4 What is 50855 to the power of 1/10, to the nearest integer? 3 What is the cube root of 5687 to the nearest integer? 18 What is 6853 to the power of 1/9, to the nearest integer? 3 What is 37102 to the power of 1/2, to the nearest integer? 193 What is 205 to the power of 1/4, to the nearest integer? 4 What is 25841 to the power of 1/3, to the nearest integer? 30 What is the square root of 26112 to the nearest integer? 162 What is the fifth root of 2003 to the nearest integer? 5 What is 2242 to the power of 1/3, to the nearest integer? 13 What is 16795 to the power of 1/4, to the nearest integer? 11 What is 83889 to the power of 1/3, to the nearest integer? 44 What is the square root of 1947 to the nearest integer? 44 What is 28555 to the power of 1/2, to the nearest integer? 169 What is the third root of 1171 to the nearest integer? 11 What is the eighth root of 8363 to the nearest integer? 3 What is 671 to the power of 1/3, to the nearest integer? 9 What is 161 to the power of 1/10, to the nearest integer? 2 What is the cube root of 13150 to the nearest integer? 24 What is the fifth root of 19945 to the nearest integer? 7 What is the seventh root of 178020 to the nearest integer? 6 What is 4161 to the power of 1/4, to the nearest integer? 8 What is the square root of 42313 to the nearest integer? 206 What is 63303 to the power of 1/10, to the nearest integer? 3 What is the cube root of 2085 to the nearest integer? 13 What is the ninth root of 2524 to the nearest integer? 2 What is the cube root of 1 to the nearest integer? 1 What is the square root of 2536 to the nearest integer? 50 What is 22672 to the power of 1/4, to the nearest integer? 12 What is the cube root of 560 to the nearest integer? 8 What is the ninth root of 2224 to the nearest integer? 2 What is the fifth root of 25971 to the nearest integer? 8 What is 10155 to the power of 1/3, to the nearest integer? 22 What is 19317 to the power of 1/8, to the nearest integer? 3 What is the square root of 34858 to the nearest integer? 187 What is 81955 to the power of 1/2, to the nearest integer? 286 What is the sixth root of 2882 to the nearest integer? 4 What is the cube root of 29012 to the nearest integer? 31 What is the fifth root of 552 to the nearest integer? 4 What is 15346 to the power of 1/3, to the nearest integer? 25 What is 1059 to the power of 1/2, to the nearest integer? 33 What is the square root of 182 to the nearest integer? 13 What is the fourth root of 312 to the nearest integer? 4 What is 1229 to the power of 1/6, to the nearest integer? 3 What is the cube root of 16542 to the nearest integer? 25 What is 96 to the power of 1/2, to the nearest integer? 10 What is the square root of 1487 to the nearest integer? 39 What is the cube root of 992 to the nearest integer? 10 What is 18240 to the power of 1/2, to the nearest integer? 135 What is 28615 to the power of 1/3, to the nearest integer? 31 What is 4827 to the power of 1/9, to the nearest integer? 3 What is 115368 to the power of 1/7, to the nearest integer? 5 What is the square root of 127 to the nearest integer? 11 What is 37 to the power of 1/8, to the nearest integer? 2 What is the cube root of 22497 to the nearest integer? 28 What is the cube root of 5008 to the nearest integer? 17 What is the square root of 3562 to the nearest integer? 60 What is 56 to the power of 1/4, to the nearest integer? 3 What is 934 to the power of 1/3, to the nearest integer? 10 What is 8911 to the power of 1/7, to the nearest integer? 4 What is the square root of 1556 to the nearest integer? 39 What is 1085 to the power of 1/2, to the nearest integer? 33 What is the cube root of 174 to the nearest integer? 6 What is 28025 to the power of 1/5, to the nearest integer? 8 What is 11785 to the power of 1/2, to the nearest integer? 109 What is 6983 to the power of 1/6, to the nearest integer? 4 What is 287 to the power of 1/2, to the nearest integer? 17 What is 78305 to the power of 1/9, to the nearest integer? 3 What is 50142 to the power of 1/3, to the nearest integer? 37 What is 48729 to the power of 1/2, to the nearest integer? 221 What is 6260 to the power of 1/3, to the nearest integer? 18 What is 7 to the power of 1/2, to the nearest integer? 3 What is the seventh root of 7507 to the nearest integer? 4 What is 22472 to the power of 1/9, to the nearest integer? 3 What is the third root of 9903 to the nearest integer? 21 What is the eighth root of 156608 to the nearest integer? 4 What is the cube root of 697 to the nearest integer? 9 What is the cube root of 120574 to the nearest integer? 49 What is the tenth root of 3390 to the nearest integer? 2 What is the cube root of 961 to the nearest integer? 10 What is 8920 to the power of 1/10, to the nearest integer? 2 What is 53338 to the power of 1/3, to the nearest integer? 38 What is 710 to the power of 1/2, to the nearest integer? 27 What is the seventh root of 53158 to the nearest integer? 5 What is the square root of 454 to the nearest integer? 21 What is the ninth root of 1687 to the nearest integer? 2 What is the third root of 11314 to the nearest integer? 22 What is the third root of 2957 to the nearest integer? 14 What is the cube root of 3303 to the nearest integer? 15 What is 90598 to the power of 1/8, to the nearest in
{ "pile_set_name": "DM Mathematics" }
0) Simplify ((d/(d*d/(d*d**(-21/5))))/d)/(d/(d*(d*(d/((((d*d**(3/20)/d)/d)/d)/d))/d)/d)) assuming d is positive. d**(-47/20) Simplify o**(-14)/(o**(-12)*o*o) assuming o is positive. o**(-4) Simplify ((k/(k/k**(3/4)))/(k/(k/(k/k**(-6)))))/(k*k**10*k*k*(k/(k/(k/k**(2/17)*k)))/k) assuming k is positive. k**(-1369/68) Simplify (s/((s/s**49*s)/s)*s)**(-9/4) assuming s is positive. s**(-225/2) Simplify (l**(-4)/(l*l**(-6)*l))/(l/(l*l*l**4)*l*l*l**(4/7)/l) assuming l is positive. l**(24/7) Simplify h/(h/(h**(-12)/h))*h**6 assuming h is positive. h**(-7) Simplify (k**(2/11)*k/(k**(-2)/k))**(-2/23) assuming k is positive. k**(-4/11) Simplify ((k/(k**(-3)/k))**(-32))**(-2/23) assuming k is positive. k**(320/23) Simplify u*u**(-22)/u*u**(-2/7)*u*u assuming u is positive. u**(-142/7) Simplify (k**1*k)/((k**(-4)/k)/k)*k**(3/7)/(k*(k*k**(-1))/k) assuming k is positive. k**(59/7) Simplify (q**(-10))**43 assuming q is positive. q**(-430) Simplify (b*(b/(b/b**4*b))/b*b**(-2/21))**(5/9) assuming b is positive. b**(305/189) Simplify t**10/t*((t/((t**(14/9)/t*t)/t))/t)/t assuming t is positive. t**(67/9) Simplify ((t*t**(9/5)*t*t)/t)/(t*t**(-14)) assuming t is positive. t**(84/5) Simplify (g**(1/4))**26/(g/g**(-2))**(-44) assuming g is positive. g**(277/2) Simplify (a/a**(-4)*a*a*a/a**5)**(1/49) assuming a is positive. a**(3/49) Simplify f**(4/5)/(f*f**21) assuming f is positive. f**(-106/5) Simplify ((s/(s*(s**(-1)*s)/s*s))/s*s*s**(2/11))**(2/9) assuming s is positive. s**(4/99) Simplify (m/(m*m*m*m**(2/5)))**(-2/71)/(m**(3/11)*m/((m*m*m**5)/m)) assuming m is positive. m**(18724/3905) Simplify (((b*b**0*b)/b)/b)/b*b**(11/4) assuming b is positive. b**(7/4) Simplify (o/(o*o**(-13)*o))**25 assuming o is positive. o**300 Simplify ((p**(-2/9))**19)**(-3/14) assuming p is positive. p**(19/21) Simplify (z**11*z)/z**(-37) assuming z is positive. z**49 Simplify ((l**(-8)/l)/(l**(-6)*l))/(l*((l*l**1)/l)/l)**22 assuming l is positive. l**(-26) Simplify h**(-8/5)*h*h/(h**(-16)*h) assuming h is positive. h**(77/5) Simplify (n*n*n**3)**(2/9) assuming n is positive. n**(10/9) Simplify x**(2/11)*x/x**(3/5) assuming x is positive. x**(32/55) Simplify (b**1)**(5/3)/(b/(b**(-2)/b)*b**(-2/3)) assuming b is positive. b**(-5/3) Simplify o**(11/2)/o**(-7/4) assuming o is positive. o**(29/4) Simplify ((z**(-1)*z)/z)**(-36)*z/z**(-2/29)*z**(-1/9) assuming z is positive. z**(9646/261) Simplify n**(-8)/n**8 assuming n is positive. n**(-16) Simplify x*((((x/x**(-9))/x)/x)/x)/x*x*x**(-1/3)*x*x**(3/5)/x**(-6) assuming x is positive. x**(229/15) Simplify (z**(-2/5)/z)**(-27)*z**(-1/2)*(z*z*(z/((z/z**4)/z)*z)/z)/z assuming z is positive. z**(433/10) Simplify u**(-4)/u**(-7)*(u/u**3)**17 assuming u is positive. u**(-31) Simplify y**(-3/4)*y/y**(-9)*y assuming y is positive. y**(41/4) Simplify (s**(2/11)*s)**15 assuming s is positive. s**(195/11) Simplify (i/(((i**22/i)/i)/i))/i**(1/29) assuming i is positive. i**(-523/29) Simplify (s*s*s*s**(-2/3))**(-28) assuming s is positive. s**(-196/3) Simplify (x*x/(x*(x/(x/(x*x**(-10))*x*x))/x))/x**(-1/13) assuming x is positive. x**(170/13) Simplify ((l/((l*l/(l/l**(2/7)*l))/l*l))/l**(-2/3))/(l**(5/6)*l/(l**(3/4)*l)) assuming l is positive. l**(109/84) Simplify (h/(h*h/(h*(h/h**0)/h*h)))**(44/5) assuming h is positive. h**(44/5) Simplify ((p/(p*p**1))**(2/27))**(-28/3) assuming p is positive. p**(56/81) Simplify ((r/(r**(-4)/r))/r**(-3/2))**(-2/11) assuming r is positive. r**(-15/11) Simplify p**(-2/7)*p**(-2/3) assuming p is positive. p**(-20/21) Simplify ((r**(1/4)*r)/(r/(r/(r**0/r))))/(r**(1/4)/(r/(r/(r*(r*r/(r/(r**(-1)*r)))/r*r)*r))) assuming r is positive. r**3 Simplify o**(-9/7)/(o*o/(o/o**(1/7))*o*o) assuming o is positive. o**(-31/7) Simplify (d/(d*d*d/d**(-7/4))*d)/(d/(((d*d**(3/14))/d)/d*d)*d*d*d) assuming d is positive. d**(-183/28) Simplify (u*u*u/u**0*u)**(-1/2)*((u*u**2)/u)**(-2/3) assuming u is positive. u**(-10/3) Simplify (i/(i*(i**(-3)*i)/i))**(-49) assuming i is positive. i**(-147) Simplify (y**7*y)/((y/(y**(-3)*y))/y*y)*(y**(-1))**11 assuming y is positive. y**(-6) Simplify ((q**(-2/27)/q)/(q/q**(-2/5)))/(q*q**(-10)*q**(-2/5)) assuming q is positive. q**(187/27) Simplify w**(2/21)/w*w**(-20)*w*w assuming w is positive. w**(-397/21) Simplify (r**(-1)*r)**41/(r**(-2/7)/r**6) assuming r is positive. r**(44/7) Simplify (t**(-7)*t*t**(-3)*t)/(t**(-4)/t**(-5/3)) assuming t is positive. t**(-17/3) Simplify d**(3/4)/(d**(-4/5)*d)*(d**2)**(-16/5) assuming d is positive. d**(-117/20) Simplify (((v/((v*v**0)/v))/v)**(-37))**49 assuming v is positive. 1 Simplify s**(-3)*(s*s**4)/s*s*s*s*(s*s*s**(1/11)*s*s)/s*s/s**(-5) assuming s is positive. s**(144/11) Simplify c/(c*c**10)*c**(1/9) assuming c is positive. c**(-89/9) Simplify t**(-7)/(t**(-1/22)/t*t) assuming t is positive. t**(-153/22) Simplify (x**23)**46 assuming x is positive. x**1058 Simplify ((j*j**6)/(j*j**(-1/4)))/((j/((j/(j*j**(-1/6)))/j)*j)/j**2) assuming j is positive. j**(65/12) Simplify (h*h*h/((h/h**17)/h*h))/(h*(h*h**36*h)/h) assuming h is positive. h**(-19) Simplify (o**6*o*o**1)/(o*o**(-1))**(44/3) assuming o is positive. o**8 Simplify ((k/k**(-1/52))/k)/(k*k**(-1/3)) assuming k is positive. k**(-101/156) Simplify g**(-3/4)*g**(-1)*((g*g/(g**(2/3)*g))/g)/((g*g*g**(2/5)*g)/g*g*g*g) assuming g is positive. g**(-469/60) Simplify ((j*(j/(j/j**0))/j)**(-4/7))**13 assuming j is positive. 1 Simplify ((a**(-8/7))**(-2/45))**(2/69) assuming a is positive. a**(32/21735) Simplify ((d*(d**4*d*d)/d)**(-49))**0 assuming d is positive. 1 Simplify ((l*l**1/l*l)/l)/l**(-4)*(l*l**1)**(-1/3) assuming l is positive. l**(13/3) Simplify (m/m**(1/6))/(m*m/m**(-6))*(m**(-9)*m)/((m*m/m**(2/9)*m)/m) assuming m is positive. m**(-305/18) Simplify (m**(3/7)/((m**(-2)/m)/m))/(m*m**(-2/15)*m**1) assuming m is positive. m**(269/105) Simplify d/d**(-39)*d*d**(-1/11)*d assuming d is positive. d**(461/11) Simplify ((f/(f/(f/(f*f/f**(5/7))*f)))/f)/f*((f**(-4/17)/f)/f)/f assuming f is positive. f**(-538/119) Simplify (w**(-2/9)*w**(2/7))/(w**1*w**0) assuming w is positive. w**(-59/63) Simplify (g*g/(g*g**13))/(g**19*g) assuming g is positive. g**(-32) Simplify (a**(-3/5)*a**3)/(a**3*a*a**(-2)) assuming a is positive. a**(2/5) Simplify b**(-1/3)*b*b**3*(b**(2/7))**(-1/12) assuming b is positive. b**(51/14) Simplify n**(-2/15)/(n**(-2/71)/n) assuming n is positive. n**(953/1065) Simplify (((q/q**17*q)/q)/q*q*q*q*q)**(17/3) assuming q is positive. q**(-221/3) Simplify (o*o**0)**(3/13)*(o**1)**28 assuming o is positive. o**(367/13) Simplify ((x**(3/16)/x)/x*x/((x/(x**(2/11)/x*x))/x))**(-3/35) assuming x is positive. x**(333/6160) Simplify (((l**(-3/4)/l)/l)**(6/5))**27 assuming l is positive. l**(-891/10) Simplify r**(-1/3)*r*r/(r/(r**6*r))*(r**(-1/3))**(-48) assuming r is positive. r**(71/3) Simplify ((g**(-2/7)/g)**40)**(-24/5) assuming g is positive. g**(1728/7) Simplify ((z*z**(-1/2))/z)**(-29)*(z**(2/7))**(-24) assuming z is positive. z**(107/14) Simplify ((c/(c/(c/(c*c**3))))/c**3)/((c/c**(-1/2))/c*c**(-4)*c) assuming c is positive. c**(-7/2) Simplify (o**(-1/36))**(-6/5) assuming o is positive. o**(1/30) Simplify (r**3*r)**30 assuming r is positive. r**120 Simplify ((j/((j/j**(2/9))/j))/(j/(j*j/j**13*j)))**(4/19) assuming j is positive. j**(-352/171) Simplify q**9*q**(1/18)*q*q**(-1)*(q**4*q*q)/q assuming q is positive. q**(253/18) Simplify ((f/f**0)/f*f**(2/7))/(f**(2/7)/(f/((f*(f/(f**(2/19)/f*f))/f)/f))) assuming f is positive. f**(21/19) Simplify (d**(-5/2)*d/((d*d**(10/9))/d))**30 assuming d is positive. d**(-235/3) Simplify (p**(-1/4)/(p*p*p/p**(6/11)*p))/(p**5/((p*p**3)/p)) assuming p is positive. p**(-251/44) Simplify x**15/x**(-13/7) assuming x is positive. x**(118/7) Simplify ((z/z**(-3))**(3/10))**(-1/2) assuming z is positive. z**(-3/5) Simplify (s**(-10)*s)/s**(-2/45) assuming s is positive. s**(-403/45) Simplify t**(-2/9)*t*t/(t/(t/(t/(t/(t*t**(-2/9))*t))))*(t/(t**(-4)/t))/((t*((t*t/((t*t/(t*t/(((t**4*t*t)/t)/t)))/t*t*t)*t)/t)/t)/t) assuming t is positive. t**12 Simplify ((f/(f/(f*f*f**0/f*f)))/f*(f/(f**(-2/7)*f))/f)**(-27) assuming f is positive. f**(-54/7) Simplify (a*a**(-1/2)*a*a)**(-16)*(a*((a*a**3/a)/a)/a)**46 assuming a is positive. a**52 Simplify l**(2/41)/(l/(l**41/l)*l) assuming l is
{ "pile_set_name": "DM Mathematics" }
8 = 0. Suppose 9*l - 48 + 12 = 0. Suppose -x = -l*a + a. List the prime factors of a. 13 Let a(l) be the first derivative of 127*l**3/3 + 3*l**2/2 + 22*l + 88. What are the prime factors of a(-4)? 2, 1021 Let c(j) = -2*j**3 - 11*j**2 + 2*j + 7. Let w be c(-6). Let o = 9 - 0. Let l = w - o. What are the prime factors of l? 2, 11 Let k = -1341 + -66. Let b = 2430 + k. What are the prime factors of b? 3, 11, 31 Let t(p) be the first derivative of 4*p - 11/2*p**2 + 46 + p**3. List the prime factors of t(8). 2, 3 Let j be (-10)/(-37 + -3) - (-3310)/8. Suppose -j*k = -413*k - 21. What are the prime factors of k? 3, 7 Let q be (-2 - (-9)/6)/((-6)/96). Suppose -q*o + 2336 = -0*o. What are the prime factors of o + 1 - -1 - 12/12? 293 Let d(v) = 7*v**2 + 409*v + 22. List the prime factors of d(-63). 2, 1019 Let g(u) = 488*u**2 - 40*u - 266. Let v be g(-6). Suppose 16*d = 30*d - v. What are the prime factors of d? 7, 179 Let u = 79 - 73. Suppose 4*r - 18 = -u. Suppose 5*o = -3*b + 393, -b = -r*b - 8. List the prime factors of o. 3 Let g(q) = -2273*q + 974. List the prime factors of g(-15). 35069 List the prime factors of 5 + -7 + -7077*1*-1. 5, 283 Let r = -172 + 178. Suppose 2298 = 5*p - 2*h, -r*h + 9*h - 904 = -2*p. What are the prime factors of p? 2, 229 Let s = 819 + -815. Suppose -s*k + 5832 = 5*m, -2*k - 4647 = -4*m + k. What are the prime factors of m? 2, 3, 97 Suppose -r - 5*f + 35 = 4*r, 0 = -r + f - 1. Suppose r*j = 1060 + 1334. What are the prime factors of j? 2, 3, 7, 19 Let b(r) = 3*r + 4 + 0*r + 2 + 3. Let o be b(15). Let z = 76 - o. What are the prime factors of z? 2, 11 Let l(f) = 17*f - 116. Let s be l(7). Let c(t) = 49*t**3 + 4*t**2 - 7*t + 13. List the prime factors of c(s). 7, 193 Let o(z) = 7991*z + 2737. What are the prime factors of o(6)? 50683 Let c(m) be the third derivative of -m**6/120 + 13*m**5/60 + 5*m**4/24 + 8*m**3/3 + 23*m**2. Let h be c(13). Let y = -57 + h. What are the prime factors of y? 2, 3 Let b = 203 + -152. Let m = 366 - b. What are the prime factors of m? 3, 5, 7 Let n be (-37 + -13)*6*(-2)/(-3). Let i = 286 + n. What are the prime factors of i? 2, 43 Suppose 0 = -t - 44 + 53. What are the prime factors of t/15*(-4 + 849)? 3, 13 Let c(d) be the second derivative of d**3/6 - 2*d**2 + 17*d. Let j be c(0). List the prime factors of (-1)/j*632/(5 - 3). 79 Suppose x - 15507 = -s + 10262, 0 = -3*s + x + 77339. What are the prime factors of s? 149, 173 Let o(s) = 25*s - 28. Suppose -4*d - 4 = -5*y, 4*d - 18 - 14 = -4*y. Let u be o(y). Suppose c - u - 63 = 0. List the prime factors of c. 3, 5 Let o = 2593 - 1105. Suppose -2*r + o = 2*k, -3*r + 2237 = -16*k + 14*k. What are the prime factors of r? 5, 149 Let m(l) = 5719*l**2 + 17*l + 1. List the prime factors of m(-1). 3, 1901 Let z(h) = 140 - 31*h - 62 - 66. What are the prime factors of z(-8)? 2, 5, 13 Let s(y) = 81*y**3 + 4*y**2 + 100*y - 429. What are the prime factors of s(5)? 2, 3, 11, 13 Suppose -26*j = -162507 - 230587. What are the prime factors of j? 13, 1163 Let v(x) = -38*x**2 - 2*x + 22676. What are the prime factors of v(0)? 2, 5669 Let t = 128 - 125. Suppose t*w + 1 = -4*u + 6, -5*u + 2*w + 35 = 0. Suppose 12*b - 1176 = u*b. What are the prime factors of b? 2, 3, 7 Let x = 1084 - 633. Let g = -261 + x. Suppose 0 = 4*q + 4*n - 232, -47 = -4*q - 5*n + g. What are the prime factors of q? 53 Let l(w) = -7*w**2 + 2*w**3 - 27*w - 3*w**3 + 18*w + 17*w. Let k be l(-8). Suppose k = 3*j - 1 - 305. List the prime factors of j. 2, 3, 17 Let c = -53 + 54. Let f be 393/(4/2 - c). Suppose 4*l - f = 551. What are the prime factors of l? 2, 59 What are the prime factors of (-4 - 150/(-5))*(-2897)/(-2)? 13, 2897 Suppose 0*o = 2*i - o - 54, 17 = i - 3*o. Let p = i - -135. Suppose -3*w + p + 94 = 0. List the prime factors of w. 2, 43 Suppose 16*u - 3*u - 936 = 0. Suppose c = u + 437. List the prime factors of c. 509 Suppose -4*i + 24078 = -2*z, -52*i + 4*z = -54*i + 12054. What are the prime factors of i? 3, 223 Suppose 2970758 - 1143030 = 103*i + 9*i. List the prime factors of i. 16319 Let y be 1052 + 6/21*14/1. Suppose 12*i - 16*i + y = 0. What are the prime factors of i? 2, 3, 11 Suppose -14872 = -k - 4*g, 69451 + 64589 = 9*k + 4*g. List the prime factors of k. 2, 7, 19 Let g(a) = 35*a - 33. Let x be g(-3). Let h = x + 882. What are the prime factors of h? 2, 3, 31 Let t(r) = 4*r**3 - 2*r**2 + 28*r - 98. What are the prime factors of t(10)? 2, 11, 181 Let o(r) = 124*r**2 + 1. Let b be (-88)/(-10) - (-1)/5. Suppose b*a - 6*a - 3 = 0. List the prime factors of o(a). 5 Suppose 58*z - 195288 = 34*z. List the prime factors of z. 79, 103 Suppose -28238 - 49795 = -37*s. What are the prime factors of s? 3, 19, 37 Suppose 7282*m + 22876 = 7286*m - 22312. What are the prime factors of m? 11, 13, 79 Let c(w) = 223*w**2 + 474*w + 22. List the prime factors of c(-13). 31547 Suppose 4*r = 4*o - 0 - 4, o + 3*r = 5. Suppose 5*f = 5*i - 2900, -o*f - 2242 = -4*i + 88. What are the prime factors of i? 3, 5, 13 Let q be ((-1992)/(-10))/((-5)/(-25)). Suppose 3*r - q = -3*y, -863 = -4*r - 2*y + 469. What are the prime factors of r? 2, 167 Let j(q) = -q**3 - 5*q**2 - 4*q + 4. Let t be j(-4). Suppose -2*s - s = t*p - 970, 5*p - 1218 = -s. Suppose 29 = 7*z - p. List the prime factors of z. 3, 13 Let j = 1887 + 1518. Suppose -j = -33*p + 2238. What are the prime factors of p? 3, 19 Suppose 0 = -45*q + 43*q + 994. Suppose 2*r - 1006 = 4*c, -2*r = -r - 5*c - q. What are the prime factors of r? 3, 13 Let g be (3 - (3 + -4))*8. Suppose 3*c + g = -5*p, c - 4*c - p = 28. Let k = c + 78. What are the prime factors of k? 3, 23 Let q = -104 - -294. Let h = q - -43. What are the prime factors of h? 233 Let o(m) = -3*m**2 + 17*m - 30. Let p be o(2). Let f(h) = -97*h - 227. List the prime factors of f(p). 3, 61 Let k(i) be the third derivative of 1/6*i**5 + 1/120*i**6 + 5/3*i**3 - 25*i**2 + 0 + 7/24*i**4 + 0*i. List the prime factors of k(-8). 2, 41 Let f be (-4)/3*3/2. Let w be f/6 - 3395/(-15). Suppose o - 54 = 5*j, -4*o = 4*j - 38 - w. What are the prime factors of o? 2 Suppose 6*t = -5*i + 2*t - 1677, 3*i + t + 1002 = 0. Suppose 0 = 4*o - 307 - 1637. Let c = o + i. What are the prime factors of c? 3, 17 Suppose 11*y = 5*p + 13*y - 14, 12 = 4*p + 2*y. What are the prime factors of 328 + ((-76)/(-57) - p/6)? 7, 47 Let x = -20 - -7. Let q(t) = -5*t + 9. Let s be q(x). Suppose -m + 3*m = -5*n + 7, 2*n + s = 4*m. List the prime factors of m. 2 Suppose -8*q + 7*q - 3*v + 8490 = 0, -4*q - 4*v = -33928. What are the prime factors of q? 2, 3, 157 Let n = -8 + 33. Let s(t) = t**2 - 11*t + 16. List the prime factors of s(n). 2, 3, 61 Suppose 1109 = 14*r - 13*r. Suppose -2*y - 3*s = -r, -4*s = -3*y - 3*s + 1691. What are the prime factors of y? 2, 281 Let h(s) = 1745*s**2 + 516*s + 2065. List the prime factors of h(-4). 3, 41, 227 Let f(y) = -9*y + 14. Suppose 4*h + 4*g = 140, -5*h - 3*g + 0*g + 177 = 0. Let k = 28 - h. What are the prime factors of f(k)? 2, 43 Let g = -59819 + 107481. List the prime factors of g. 2, 23831 Suppose -3*p + p + 146 = -2*c, c + 4*p = -83. Let u be -2*2/18 - c/(-27). List the prime factors of 4*(u + 135/48)*-224. 2, 3, 7 Let l = 2825 + -295. Suppose 112*y - l = 110*y. List the prime factors of y. 5, 11, 23 Let n = 579 + -464. Let x = n + 307. What are the prime factors of x? 2, 211 Let d(b) be the first derivative of -10*b**2 + 125*b + 142. List the prime factors of d(-24). 5, 11 Let v(c) = c**2 + 7*c - 50. Suppose -j - 3*u - 7 = 0, -33 = -2*j + 4*u + 3. List the prime factors of v(j). 2, 5, 7 Let a(h) = -164*h**3 + 3*h**2 - h - 3. Let q = -243 + 242. List the prime factors of a(q). 3, 5, 11 Suppose -5*j + 82881 = -d, -7*j + 4*j + 49719 = -3*d. List the prime factors of j. 11, 137 Suppose -22*z = -20*z - 6. Suppose z*n - 423 = -t, 0 = 5*n + t + 2*t - 705. List the prime factors of n. 3, 47 Let f = -143 + 146. Suppose -5*p = -f*j - 523, p + 0*p - 101 = -3*j. List the prime factors of p. 2, 13 Let n = 0 - -4. Suppose 5*l - n*c = 298, -l - c = -4*c - 53. Suppose 489 = 65*z - l*z. List the prime factors of z. 163 Let u = 10519 + -1520. List the prime factors of u. 8999 List the prime factors of 177/(-6)*-2*-1*-80. 2, 5, 59 Suppose -4*f + 16 = -36. Let k = f + 6. Suppose -k*s = -20*s + 42.
{ "pile_set_name": "DM Mathematics" }
Let p be i(-24). Solve -5*y = -t + 2*t + 21, -p = 2*y + 3*t for y. -4 Let h be ((-6)/5)/((1/15)/((-50)/9)). Solve -h*t + 2*n = -99*t, t = -3*n + 10 for t. 4 Let m = -349 + 379. Let j be ((-3)/(-6)*-3)/(m/(-160)). Solve -2*y = -z - 5, z + 2*y = 7*y - j for z. -3 Let m(i) = -i**2 - 8*i - 26. Let o be m(-12). Let k be o/(-3) - (-9)/27. Solve 0 = -4*n + 4*l, -4*n - k = -l + 2*l for n. -5 Suppose -20 = 4*n, 127*l = 122*l + 3*n + 65. Solve -l*y = -12*y + 2*z + 12, 3*y = 2*z + 16 for y. 4 Suppose -3*r - 3 = -21. Let w be (6 + 6/4)/(r/32). Let h = w - 31. Solve y + 4 = 4*f - 3*y, y = 5*f - h for f. 2 Let p be (-3)/12 + (-26)/(-8). Let z be 5838/2*(-32)/(-96). Suppose 0 = -971*b + z*b. Solve b = 2*f - 3*s - 1 - 3, p*f = -4*s - 11 for f. -1 Suppose -2*r = 6, -4*y + r = -4*r + 13. Let c be -3 - (-8 - (y + 2)). Suppose c = 47*s - 52*s + 15. Solve 4*d = -g - 7, -2*g - 2*g + 29 = -s*d for d. -3 Suppose 0 = 4*h + 23*h. Solve h = -3*x - 4*r + 22 - 23, -5*r - 30 = -2*x for x. 5 Suppose -2*y = 2*g - 4, 38*g = -y + 43*g + 14. Solve -4*o - o - y*n = 6, 18 = -o - 5*n for o. 2 Suppose -4*g + 14 = 3*g. Suppose 11*v + 11*v + 22 = 110. Solve 2*s + g*t - 6 = 0, -2*t + v = -2 for s. 0 Suppose 0 = m + 7*m - 64. Suppose -4*j - 2 = 2. Let r be -1*(3 + 7/j). Solve 3*g = -4*y + m, -r*y + 45 = y - 5*g for y. 5 Let r = 1802 + -1792. Solve z + 7*o = r*o + 14, -38 = 5*z + 3*o for z. -4 Let p(s) = -5*s**2 + 45*s - 41. Let l be p(7). Solve -3*w = -4*j - 14, -4 = -3*w - l*j + 31*j for w. -2 Suppose -215*w - 957 = -244*w. Solve 0 = -4*a + k + 12, 4*a - w + 5 = 5*k for a. 2 Let w = 35 + 34. Suppose w*d - 73*d = -24. Suppose 15 = d*r + 15. Solve -5*n - j + r*j - 21 = 0, n = 4*j for n. -4 Let y be ((-3042)/6 + 2)/(-1). Let m = y - 494. Solve o + m = -3*t, 4*o + 0*o + 16 = 2*t for o. -5 Let b = -1113 + 1116. Suppose -5*s = -4*d + 11, -4*s = -5*d - 1 + 17. Solve i + 3 = s, 0 = -b*g + 3*i - 6 for g. -4 Suppose -5*l - 11 = -2*a, -4*l + 7 = 2*a - 13. Let c be (168/(15 + 9))/(14/4). Solve 5*s = -c*j + 28, -4*j - a = 3*s - 9*j for s. 4 Let r be -5 - (2 + -1 + 5). Let d be 4 - (0/(-1))/((-11)/r). Solve 2*s - 3*k = -1, -3*s - d*k + 2*k - 8 = 0 for s. -2 Let a(z) = z**2 + 43*z - 650. Let u be a(12). Solve 0 = 3*v + 4*x - 34 + u, -2 = v - 2*x for v. 4 Let s(u) = u**3 - 9*u**2 - 2*u + 122. Let k be s(7). Solve 0 = -2*q + 4*f - 10, -2*q - k = -4*q - f for q. 3 Let q(h) = -2*h + 1. Let p be (-82)/(-16) + (14/16 - 1). Suppose -p*w + w - 8 = 0. Let k be q(w). Solve -r - 6 = 4*i - 0, k*r + 15 = -5*i for r. -2 Suppose -3*w - 4*o + 250 = 60, -270 = -4*w + 3*o. Let q = 69 - w. Suppose 10*g - 65 = -25. Solve -3*v + 0*a = q*a - 3, 0 = -g*a + 8 for v. -1 Let d be (-1116)/1953*14/(-4). Solve 25*o - 24*o = -d*p - 9, -4*p = -4*o for p. -3 Let c(o) = -9*o - 34. Let f = -213 - -209. Let n be c(f). Solve 4 = 2*d + n*w - 6, -3*d - 4*w + 19 = 0 for d. 1 Let n = 9544 - 9539. Solve 2*u = 4*x + u + 5, n*x + 1 = -4*u for x. -1 Let o be ((-27)/(-6))/(-3)*(-192)/18. Let l = o + -13. Solve 2*q - l*g = -q - 9, -5*q + 2*g - 21 = 0 for q. -5 Suppose -88*g = 67*g - 620. Solve -i - 13 = 4*w, -i + 10 = -g*w + i for w. -3 Let w(l) = 40*l**2 - 120*l. Let k be w(3). Solve -4*s = -4*r - 8, k = -4*s + 3*r + 2*r + 13 for s. -3 Let y be 23*5*((-32)/40 + (2 - 1)). Solve -3*c = 4*m + 25, -y*m + 4*c = -19*m + 4 for m. -4 Suppose -5*z - 16 = 2*r, 12*z = -3*r + 15*z + 18. Solve 0 = -4*d + r*m - m - 16, 5*m - 12 = 3*d for d. -4 Let j = 422 - 440. Let w be (-2)/(-9) + (-50)/j. Solve 5*p + 7 = -w, x + 6 = -3*p for x. 0 Let w be 12/8*-15*54/(-15). Let t = w - 84. Let j(x) = 6*x + 22. Let v be j(t). Solve 5*p = f + 29, 8 + 1 = v*f + 5*p for f. -4 Let w(g) = 50*g**2 - 2151*g + 46. Let p be w(43). Let f(d) = -d**3 + 7*d**2 + 9*d - 8. Let n be f(8). Solve -4*r + 2*y + 2 = 0, 5*r + n*y - p*y = 0 for r. 3 Suppose 0 = -2*o + k + 36, 250*o - 247*o - 56 = 2*k. Solve -2*f = 3*r + 8, 3*f - 4*r + o = -f for f. -4 Let q be ((-12)/(-33))/((-130)/22 + 6). Let s = -6 - -9. Suppose -s*u - q*r = -0*r - 23, -4*r + 28 = 4*u. Solve 0 = -5*h - n + 5, -2*n - u = -0*h - 5*h for h. 1 Let l = -166 - -168. Suppose 2 = 4*b - u - l, 0 = 2*b - u. Solve 0 = -4*z - 2*p - 16, -4*z - b*p - 8 = -2*z for z. -4 Suppose 73*d = 440 - 2. Solve -4*g + g - d = -u, g = u for g. -3 Let c(r) = 2*r**3 - 64*r**2 + 12*r - 379. Let v be c(32). Solve 0 = -4*k - v*g + 21, -5*k + 4 = -4*k + g for k. -1 Let u = -19 + -74. Let t = -65 - u. Solve 0 = -3*v + 4*f - t, -4*v + 7 - 43 = -5*f for v. -4 Let s = 78 + -48. Let r = -24 + s. Let j(z) = -z**3 + 10. Let q be j(0). Solve r*t - 2*t - 5*p = 1, -2*p + q = t for t. 4 Let l be (2/(-5))/((-4)/20). Suppose -5*p - 3*v - 15 = 0, -4*p - 6534*v = -6538*v - 20. Solve p = -l*c - 4*u - 24, -6*c = -c + u + 24 for c. -4 Suppose 0 = 20*c - 18*c - 10. Suppose 2*h - 5*p + c = -0*p, -p + 8 = h. Let m be (-3)/((-3)/h) + 1 + -1. Solve -m*i - 17 + 5 = n, 15 = -i + 4*n for i. -3 Let s = 8907 + -8904. Solve 0 = -4*l - 2*a - 18, s*l + 5*a = -4 - 13 for l. -4 Let c = -13987 - -13992. Solve -c*z + 2*i - 22 = 3*i, 0 = 4*z - 2*i + 12 for z. -4 Let x(f) be the first derivative of f**4/4 + 4*f**3/3 - 19*f**2/2 - 39*f - 120. Let s be x(-6). Solve -30 = -5*w + 5*q, s*w - 3*q - 28 = 2*q for w. 1 Suppose -37 = -3*i + 5*r + 13, -6*i + 64 = -r. Solve 8 = 4*l + 8*v - i*v, 4*l - 14 = 3*v for l. -1 Let n(m) = 3*m**3 - 143*m**2 - 47*m - 75. Let j be n(48). Let b be 3/(2 - 38/18). Let p = b - j. Solve -5*d + 2*o + o - 19 = p, 5*o - 23 = 4*d for d. -2 Let j = -19985 - -20003. Solve 5*z = -v - 25, 4*v + 3*z + j = -14 for v. -5 Suppose -w + 3*o = 6 - 4, 4*w - 2*o - 12 = 0. Solve -3 = 4*n + 3*v, 5*n - w*v - 30 = -v for n. 3 Let f be ((-18)/4)/((-5)/40). Let i = 2624 - 2592. Let t = f - i. Solve -18 = -5*j - 4*o, 0*j - 18 = -t*j - 5*o for j. 2 Suppose -206*w = -201*w - 120. Suppose -6*o + w = -4*o - 2*l, 5*o - 2*l = 66. Solve -2*j = 4*h + o, -4*h + j - 11 = -0*j for h. -3 Suppose -5*i - 534 + 29 = 0. Let c = -97 - i. Solve 32 = 5*b - 4*r, -c*r = 5*b - 3 - 5 for b. 4 Let y = -4394 - -4396. Solve y*a + 4*m = 2 + 8, 0 = -2*m + 4 for a. 1 Let a(f) = f**2 - 16*f - 952. Let u be a(40). Solve 0 = 3*z - 7*z + u, -2*h + 12 = 5*z for h. 1 Let y be (-2)/8 - (8/24 + (-469)/84). Solve y*w - h - 3*h - 30 = 0, -3*w = 2*h + 4 for w. 2 Let m = -92 - -82. Let l be ((8/m)/1)/(36/(-90)). Suppose l*k + 14*k = 48. Solve -5*s = -2*g - 16, 0*g + k*g = 3*s - 6 for g. 2 Suppose -16 = -5*l + 4*c, -4*c + 1248 - 1260 = -4*l. Solve 0 = 3*z - 5*u + 13 - l, 5*u = 5*z + 15 for z. -3 Let b(i) = i**3 - 111*i**2 - 2*i + 227. Let k be b(111). Solve 2*y + 5 = -k*d - 13, 2*d = 3*y + 8 for d. -2 Suppose 4*q - 5*s = -5, q - 2*s - 3 + 8 = 0. Let u = 303930 - 303927. Solve g + 0*g + u*a = -10, -14 = q*g - 3*a for g. -4 Suppose 0 = k + 20 - 32. Let f be k/(-9) + 1 - (-8)/24. Solve 3*p - y + 0*y = f, -3*p - 3*y = -12 for p. 1 Suppose 4 + 1 = w. Let z(r) = -115*r + 600. Let o be z(5). Solve -3*k - w*d = -2*d + 6, -5*d = -2*k - o for k. -5 Let k(f) = -515*f + 1033. Let u be k(2). Solve 3*d - 2*z + 23 = u*z, -18 = 2*d - 4*z for d. -1 Let u(w) = w**3 + 2*w**2 - 5*w - 3. Let p(r) = -r - 9. Let z be p(-6). Let q be u(z). Solve -4*i = -2*l - 10, -l - 25 = 4*l - q*i for l. -5 Let s be -4 - (6/10 - 228/30). Suppose 14 = -s*k + 20. Solve -8 = -d - k*o - 3, 4*d + 2*o - 8 = 0 for d. 1 Let r(j) = -j**3 - 4*j**2 + 3*j + 3. Let n be r(-5). Let c(x) = 2*x - 21. Let v be c(n). Suppose -v*i = 10 - 35. Solve y + k + 17 = i*k, -4*y - 32 = -4*k for y. -5 Let m = 7609 - 7525. Solve -4*a = -2*x - 14, -4*x - m = a - 83 for x. -1 Let t(u) = -u**3 - 13*u**2 - 15*u - 16. Let o be t(-12). Let f = 19 - 14. Suppose l - 2*l = -3*l. Solve 3*z = -l*z + 3*n + 9, -2*n - o = f*z for z. -2 Let t be (-318)/(-15) - 8/40. Suppose 17 = -n + t. Let u(q) = -q**3 - q**2 - q - 3. Let o be u(-3). Solve -6 = 2*v + 2*y, y = n*v - y - o for v. 2 Let p be (-7)/((-32)/48 - (-1)/3). Solve -12 = -3*u - 7*k + 4*k, 0 = 4*u - k - p for u. 5 Suppose -3*w - 5*q + 55 = 0, -w + 34 - 4 = 4*q. Solve -3*z - d + w = 0, 23*d = -4*z + 27*d + 24 for z. 4 Let q(h) = -2*h**2 + 3*h - 7*h - 5 + 6*h. Let i be q(0). Let p = 5 + i. Solve p*n = -3*t + 2*n - 11, -3*t - 4*n = -13 for t. -1 Let n(v) = 7*v**2 + v - 1. Let p = 186 - 187. Let w be n(p). Solve q - 17 = w*s - 3, -5*q + 22 = -s for q. 4 Suppose 3
{ "pile_set_name": "DM Mathematics" }
7 + 27*c - 45*c**2 + 21*c**2 + c**3. Let l be r(15). Let 0 - 4/9*u**l - 2/9*u**3 + 2/3*u = 0. Calculate u. -3, 0, 1 Let q(i) = -i**3 + i**2 - i + 3. Let s(f) = -10*f**3 - 810*f**2 + 4054*f + 1434. Let p(w) = 2*q(w) + s(w). Factor p(t). -4*(t - 5)*(t + 72)*(3*t + 1) Suppose -59*h = -3*h - 224. Let n(j) be the second derivative of -5/8*j**2 + 0*j**3 + 5/48*j**h + 8*j + 0. Determine g so that n(g) = 0. -1, 1 Let t(l) be the second derivative of l**4/30 + 32*l**3/3 + 316*l**2/5 - 28*l. Let t(i) = 0. What is i? -158, -2 Let m be 1515/9 - (2/6 - 0). Suppose 15*w = m - 138. Factor 14/15*s**4 - 38/15*s**3 - 32/15*s + 8/15 + 10/3*s**w - 2/15*s**5. -2*(s - 2)**2*(s - 1)**3/15 Suppose 2*x = 5*r - 16, -r = -3*r + 8. Factor 0*o**2 - 2*o**x - 1352 + 13953*o - 13849*o. -2*(o - 26)**2 Let h be 338*5*7/70. Determine f so that -625*f**3 + 337*f**5 - 184*f**5 + 128 - 232*f**4 - h*f**5 + 992*f + 1778*f**2 = 0. -8, -1/4, 2 Suppose 11*n - 4*n = 56. Suppose n*i - 63 = 5*i. Factor -7 - 17 - 22*z**2 - 3*z**4 - i*z**3 - 14*z**2 - 60*z - 18*z**2. -3*(z + 1)*(z + 2)**3 Let r(c) be the first derivative of -c**4/38 - 34*c**3/57 - 14*c**2/19 + 64*c/19 - 1535. Factor r(u). -2*(u - 1)*(u + 2)*(u + 16)/19 Suppose 0 = 8*g - 32. Factor -6*w + 12*w**2 - w**5 + 12*w + 7*w**3 - 25*w**2 + w**g. -w*(w - 2)*(w - 1)**2*(w + 3) Let t(o) = -144*o**4 - 1044*o**3 + 2588*o**2 + 140*o. Let k(f) = f**4 - 5*f**2 - f. Let n(h) = 4*k(h) - t(h). Find g such that n(g) = 0. -9, -2/37, 0, 2 Let m(d) be the second derivative of d**6/15 + 8*d**5/5 + 41*d**4/6 + 26*d**3/3 - 1144*d - 2. Determine y, given that m(y) = 0. -13, -2, -1, 0 Suppose -18 = -5*w + 7. Suppose -4*u = -u - 2*x - 106, 177 = w*u - 3*x. Let 3*z + 2*z + 24*z**4 + 18*z**2 - 2*z + u*z**3 = 0. Calculate z. -1/2, 0 Factor 1/3*v**2 + 415/3 - 416/3*v. (v - 415)*(v - 1)/3 Let y be 1/(-5)*-6*(-24435)/(-9774). Suppose -4/5*a**y - 12/5*a - 12/5*a**2 - 4/5 = 0. What is a? -1 Let m(y) = -4*y**3 - 374*y**2 + 3961*y - 11664. Let n(x) = -x**3 - 124*x**2 + 1322*x - 3888. Let u(c) = -2*m(c) + 7*n(c). Factor u(i). (i - 108)*(i - 6)**2 Let c(f) be the third derivative of -f**6/120 - 21*f**5/80 + 7*f**4/2 - 10*f**3/3 - 160*f**2 - 3*f. Factor c(w). -(w - 4)*(w + 20)*(4*w - 1)/4 What is v in 211/4 - 3/4*v**2 - 158*v = 0? -211, 1/3 Let o(u) be the third derivative of 0 - 24*u - 1/60*u**5 + 1/630*u**7 - 1/120*u**6 + 1/3*u**3 + 7/72*u**4 - 2*u**2. Suppose o(t) = 0. What is t? -1, 2, 3 What is w in -6914/3*w + 4/3*w**2 + 1152 = 0? 1/2, 1728 Let v(f) = -3204*f**3 - 6536*f**2 - 336*f + 20. Let n(r) = 458*r**3 + 934*r**2 + 48*r - 3. Let s(c) = 20*n(c) + 3*v(c). Factor s(o). -4*o*(o + 2)*(113*o + 6) Let p(n) be the second derivative of n**5/210 - 11*n**4/14 + 363*n**3/7 + 98*n**2 - 26*n. Let q(w) be the first derivative of p(w). Factor q(r). 2*(r - 33)**2/7 Suppose 76 = 2*p + 3*m, -43 = -2*p - m + 25. Factor 51*o**2 - 5*o**3 + p*o**2 - 7306*o + 1891*o + 34295 + 58*o**2 + 144*o**2. -5*(o - 19)**3 Let v(t) = 28*t**3 + 20*t**2 - 16*t + 112. Let f(j) = -2*j**3 - 2*j**2 + j - 6. Let o(z) = 16*f(z) + v(z). Let o(n) = 0. What is n? -2, 1 Let z(o) = -47*o**2 - 237*o + 236. Let w(j) = 195*j**2 + 950*j - 945. Let f(d) = -6*w(d) - 25*z(d). Let f(n) = 0. What is n? -46, 1 Solve 9731*y**2 + 1920*y**3 + 5*y**5 + 2522 - 680*y**4 + 11275*y + 1468 + 159*y**2 = 0. -1, 6, 133 Suppose 54 = 1102*g - 1085*g + 20. Find i, given that 2/3*i**g + 4/3 + 18/5*i = 0. -5, -2/5 Let q(f) be the second derivative of -22*f**6/15 + 131*f**5/5 - 373*f**4/3 + 458*f**3/3 + 48*f**2 - 2460*f. Determine m, given that q(m) = 0. -1/11, 1, 3, 8 Let a = -56 - -58. Suppose 0 = -2*y + h + 11, 3*h + 3 = -a*y - 2*y. Factor 0*i + 56*i**y - 2*i**2 - 58*i**3 + 8 + 8*i. -2*(i - 2)*(i + 1)*(i + 2) Let u(f) = 8*f**2 - 7*f - 6. Let m be u(-4). Suppose m = k + 5*k. Suppose 20*g**4 + k*g**3 - g**2 + 6*g**2 + 5*g**2 + 5*g**5 = 0. What is g? -2, -1, 0 Let v = -10244158/141 + 72654. Let w = v - -2/705. Let -2/5*t**2 + w*t + 0 = 0. What is t? 0, 1 Let x be 14 - (-62 + (-5600)/(-75)). Suppose 2/3 - 5/6*t**4 - 7/6*t**3 + x*t - 1/6*t**5 + 1/6*t**2 = 0. Calculate t. -2, -1, 1 Factor -320*x - 1/3*x**3 + 81*x**2 + 956/3. -(x - 239)*(x - 2)**2/3 Solve -189*y**4 - 91*y**3 - 82*y**3 - 40*y**3 + 162*y**2 + 45*y**3 + 165*y**5 + 3*y + 27*y**4 = 0. -1, -1/55, 0, 1 Let q(j) = 25*j**2 + 19*j - 71. Let f be q(4). Let n = f - 1983/5. Factor -n*p**2 + 12/5 - 6*p. -6*(p + 1)*(7*p - 2)/5 Let m(c) be the second derivative of c**6/30 - c**5/15 - 8*c**4/3 + 32*c**3/3 + 14*c**2 + 221*c. Let u(s) be the first derivative of m(s). Factor u(z). 4*(z - 4)*(z - 1)*(z + 4) Let v = -247/30 + 42/5. Let l = 39163/3 - 13054. Factor v*q**2 - l - 1/6*q. (q - 2)*(q + 1)/6 Let a = -394 - -397. Factor -87*p + 6*p**2 - 2*p**a + 0*p**3 + 38*p + 45*p. -2*p*(p - 2)*(p - 1) Let y = -389 - -392. Solve -1093*w**3 + 38 + 234*w**4 - 30 + 496*w + 162*w**5 + 584*w**2 + 56 - 447*w**y = 0 for w. -4, -2/9, 1, 2 Let a = -259 + 279. Factor -448*u**4 - 45*u**2 - 55*u - 459*u**4 - 5*u**3 + 912*u**4 - a. 5*(u - 4)*(u + 1)**3 Let a be (-21 + 1178/57)*-69. Let n(f) be the second derivative of 14/3*f**3 + 0 + a*f + 1/10*f**5 + 7/6*f**4 + 8*f**2. Suppose n(t) = 0. What is t? -4, -2, -1 Suppose -i = -4*z + 10, 21*i - 10 = 5*z + 16*i. Let l(c) be the second derivative of 8*c - 5/12*c**z - 10*c**2 + 10/3*c**3 + 0. Factor l(y). -5*(y - 2)**2 Suppose 6*s - 45 = -3*s. Suppose -4*y - 2*b + 6*b = 0, -s*y + 4*b + 2 = 0. Factor -15*j**2 + 32*j**y - j - 15*j - 13*j**2. 4*j*(j - 4) Let c be (((-4896)/(-20))/(-3))/(34587/(-234)). Let r = c - 8/427. Solve -16/15*x + 2/3*x**3 + 14/15*x**2 - r = 0 for x. -2, -2/5, 1 Factor -28/5*q**2 + 167/5*q - 28 + 1/5*q**3. (q - 20)*(q - 7)*(q - 1)/5 Solve -32 + 66 + 365*w - 546*w**4 - 49 - 1138*w**3 - 2265*w**2 + 3653*w**3 - 54*w**4 = 0. 1/15, 1/8, 1, 3 Let b be 4/(-10) - 222/(-180). Let t be -1 + (9/21 - 54/(-21)). Factor 0 - b*r + 1/6*r**t. r*(r - 5)/6 Suppose -3560*j + 4564*j - 4016 = 0. Find b such that 0 + 0*b + 11/10*b**3 - 3/5*b**2 - 2/5*b**j = 0. 0, 3/4, 2 Let a(h) = 72*h**4 + 807*h**3 + 1644*h**2 - 2916*h + 972. Let u(z) = 145*z**4 + 1615*z**3 + 3289*z**2 - 5832*z + 1944. Let y(q) = 5*a(q) - 3*u(q). Factor y(d). -3*(d + 6)**2*(5*d - 3)**2 Suppose 3*c - 2*v - 23 = 0, -2*v + 1597 = c + 1608. Let w(b) be the first derivative of -4/3*b**c + 21 - 2*b**2 + 8*b. Solve w(g) = 0. -2, 1 Let g(z) = -z**2 + 809*z - 24859. Let f be g(32). Factor 1/5*y**f + 39/5*y**3 - 74/5*y**2 - 2*y**4 - 24/5 + 68/5*y. (y - 3)*(y - 2)**3*(y - 1)/5 Let k = -22420 - -156958/7. Factor 2/7*t**5 + k*t**3 + 2*t**2 + 10/7*t**4 + 0 + 4/7*t. 2*t*(t + 1)**3*(t + 2)/7 Let q = 5040 - 5036. Let g(b) be the first derivative of 0*b + 4/15*b**3 - 1/10*b**q + 10 + 3/5*b**2. Factor g(x). -2*x*(x - 3)*(x + 1)/5 Let t(k) = -51*k**2 + k - 4. Let w(y) = -61*y**2 + 2*y - 4. Let o(g) = 6*t(g) - 5*w(g). Find i, given that o(i) = 0. -2 Suppose 167*c + 3339 = 170*c. Let y = 1113 - c. Factor y*d + 3/8*d**3 + 0 + 3/8*d**2. 3*d**2*(d + 1)/8 Let g(w) be the third derivative of w**8/840 + 4*w**7/175 + 2*w**6/75 - 17*w**5/75 - 3*w**4/20 + 22*w**3/15 - 801*w**2. Suppose g(m) = 0. What is m? -11, -2, -1, 1 Let n be ((-25)/15)/(10/(-18)). Factor n*v**2 + 15 + 22 + 11 + 24*v. 3*(v + 4)**2 Let y(r) be the third derivative of -11/8*r**4 + 0*r + 19 - 1/336*r**8 + 3/70*r**7 + 3/2*r**3 + 23/30*r**5 - r**2 - 1/4*r**6. Factor y(s). -(s - 3)**2*(s - 1)**3 Let -4/9*q**3 + 0 - 4/9*q**2 + 8/9*q = 0. Calculate q. -2, 0, 1 Let g(a) be the third derivative of 1/30*a**5 + 0*a - 11/6*a**4 + 121/3*a**3 + 2 + 17*a**2. Factor g(z). 2*(z - 11)**2 Let a(s) = -s**3 - 7*s**2 + 18*s + 88. Let x be a(-8). Let l be 12/52*5*x/12. Factor -6/13 + 4/13*r**2 - l*r. 2*(r - 3)*(2*r + 1)/13 Suppose 0 = 2*n + 5 - 47. Suppose n*b = 16*b + 140. Let 3*t**2 - 4*t**2 + b + 8*t - 38*t + 3*t**2 = 0. What is t? 1, 14 Let d be (-32)/6 + (-1225)/(-147). Let c(n) be the second derivative of -4*n**2 + 1/5*n**5 - 4/3*n**d + 0 + 1/2*n**4 - 15*n - 1/15*n**6. Factor c(g). -2*(g - 2)**2*(g + 1)**2 Let m = -70 - -62. Let g be (m/(14 + -6))/(-3). Suppose n + g + 1/3*n**3 + n**2 = 0. Calculate n. -1 Let o(a) be the first derivative of a**6/6 - 3*a**5/5 - 11*a**4/2 - 38*a**3/3 - 27*a**2/2 - 7*a - 504. Factor o(b). (b - 7)*(b + 1)**4 Let u(b) be the third derivative of -25
{ "pile_set_name": "DM Mathematics" }
2, 64, 114, 166? -q**3 + 13*q**2 - 4*q - 14 What is the n'th term of -18, -15, -20, -39, -78, -143? -n**3 + 2*n**2 + 4*n - 23 What is the r'th term of -589, -579, -555, -511, -441? r**3 + r**2 - 591 What is the x'th term of -32, -29, -24, -17? x**2 - 33 What is the y'th term of -420, -840, -1260? -420*y What is the i'th term of 15, 84, 207, 384, 615, 900, 1239? 27*i**2 - 12*i What is the y'th term of -9, -17, -35, -69, -125, -209? -y**3 + y**2 - 4*y - 5 What is the n'th term of 1268, 2538, 3808, 5078? 1270*n - 2 What is the z'th term of -52, -100, -148? -48*z - 4 What is the f'th term of 3, 12, 27, 54, 99, 168, 267? f**3 - 3*f**2 + 11*f - 6 What is the w'th term of -1272, -1273, -1274, -1275, -1276? -w - 1271 What is the n'th term of -28, -43, -68, -103, -148, -203, -268? -5*n**2 - 23 What is the w'th term of -5235, -5236, -5237? -w - 5234 What is the p'th term of -55, -59, -67, -79, -95, -115, -139? -2*p**2 + 2*p - 55 What is the g'th term of -31, -49, -67, -85, -103? -18*g - 13 What is the z'th term of -61, -74, -87, -100, -113? -13*z - 48 What is the r'th term of -4, 1, 16, 47, 100, 181, 296, 451? r**3 - r**2 + r - 5 What is the s'th term of 39, 43, 47, 51? 4*s + 35 What is the y'th term of 559, 550, 539, 526, 511, 494? -y**2 - 6*y + 566 What is the d'th term of -52, -50, -48, -46, -44, -42? 2*d - 54 What is the l'th term of -2495, -4981, -7465, -9947, -12427? l**2 - 2489*l - 7 What is the q'th term of 12, -26, -114, -276, -536, -918, -1446? -4*q**3 - q**2 - 7*q + 24 What is the y'th term of 20, 28, 56, 116, 220, 380? 2*y**3 - 2*y**2 + 20 What is the k'th term of 2172, 2169, 2166, 2163, 2160, 2157? -3*k + 2175 What is the s'th term of -22, -194, -656, -1552, -3026, -5222, -8284, -12356? -24*s**3 - s**2 - s + 4 What is the h'th term of -187, -212, -237, -262, -287? -25*h - 162 What is the n'th term of -3, -25, -85, -201, -391, -673, -1065? -3*n**3 - n**2 + 2*n - 1 What is the h'th term of 8, 8, 14, 32, 68? h**3 - 3*h**2 + 2*h + 8 What is the c'th term of 47, 59, 77, 101, 131? 3*c**2 + 3*c + 41 What is the v'th term of -53, -39, -19, 7, 39? 3*v**2 + 5*v - 61 What is the v'th term of -98, -341, -746, -1313, -2042? -81*v**2 - 17 What is the b'th term of 10, 26, 68, 148, 278, 470, 736? 2*b**3 + b**2 - b + 8 What is the x'th term of 19, 38, 55, 70, 83, 94? -x**2 + 22*x - 2 What is the l'th term of 156, 314, 472, 630? 158*l - 2 What is the w'th term of 8847, 8844, 8841, 8838? -3*w + 8850 What is the h'th term of -68, -78, -98, -134, -192? -h**3 + h**2 - 6*h - 62 What is the p'th term of -93, -199, -303, -405, -505, -603, -699? p**2 - 109*p + 15 What is the z'th term of 10, 32, 68, 118, 182, 260, 352? 7*z**2 + z + 2 What is the n'th term of 26, 51, 78, 107, 138? n**2 + 22*n + 3 What is the l'th term of -279, -311, -405, -591, -899, -1359, -2001? -5*l**3 - l**2 + 6*l - 279 What is the j'th term of 29, 58, 77, 80, 61, 14, -67, -188? -j**3 + j**2 + 33*j - 4 What is the i'th term of 1239, 1226, 1213? -13*i + 1252 What is the w'th term of 37, 71, 99, 115, 113, 87? -w**3 + 3*w**2 + 32*w + 3 What is the o'th term of 903, 1806, 2707, 3606, 4503, 5398, 6291? -o**2 + 906*o - 2 What is the j'th term of 17, -9, -73, -193, -387, -673, -1069? -3*j**3 - j**2 - 2*j + 23 What is the j'th term of 22, 12, -2, -20? -2*j**2 - 4*j + 28 What is the o'th term of -18, -151, -514, -1221, -2386, -4123, -6546, -9769? -19*o**3 - o**2 + 3*o - 1 What is the l'th term of 389, 770, 1141, 1496, 1829, 2134, 2405? -l**3 + l**2 + 385*l + 4 What is the i'th term of 637, 654, 671, 688, 705? 17*i + 620 What is the j'th term of 6811, 6813, 6815, 6817, 6819? 2*j + 6809 What is the q'th term of 2936, 2937, 2938, 2939? q + 2935 What is the g'th term of 242, 981, 2214, 3941, 6162? 247*g**2 - 2*g - 3 What is the z'th term of -16, 13, 60, 125, 208, 309? 9*z**2 + 2*z - 27 What is the k'th term of 3, 19, 47, 87? 6*k**2 - 2*k - 1 What is the q'th term of -141, -226, -311? -85*q - 56 What is the o'th term of 682, 678, 672, 664, 654? -o**2 - o + 684 What is the h'th term of 10, -32, -184, -500, -1034, -1840? -9*h**3 - h**2 + 24*h - 4 What is the y'th term of 38, 2, -34, -70, -106, -142? -36*y + 74 What is the t'th term of 176, 160, 118, 38, -92? -2*t**3 - t**2 + t + 178 What is the z'th term of -8, -16, -24, -32? -8*z What is the o'th term of 17, 34, 53, 74? o**2 + 14*o + 2 What is the f'th term of -43, -86, -129, -172? -43*f What is the m'th term of 145, 291, 437, 583? 146*m - 1 What is the l'th term of 357, 715, 1073, 1431, 1789, 2147? 358*l - 1 What is the c'th term of 23, 13, -5, -31, -65? -4*c**2 + 2*c + 25 What is the b'th term of 60, 203, 446, 795, 1256? b**3 + 44*b**2 + 4*b + 11 What is the i'th term of -252, -234, -216, -198? 18*i - 270 What is the q'th term of 27, 61, 117, 195, 295? 11*q**2 + q + 15 What is the m'th term of 4, -17, -54, -107, -176, -261? -8*m**2 + 3*m + 9 What is the q'th term of 299, 305, 315, 329? 2*q**2 + 297 What is the d'th term of -19, -39, -97, -211, -399, -679? -3*d**3 - d**2 + 4*d - 19 What is the f'th term of 13, 46, 103, 184? 12*f**2 - 3*f + 4 What is the i'th term of -67, -135, -203? -68*i + 1 What is the x'th term of -257, -265, -277, -293, -313, -337? -2*x**2 - 2*x - 253 What is the w'th term of 75, 81, 87, 93, 99? 6*w + 69 What is the r'th term of -163, -618, -1375, -2434? -151*r**2 - 2*r - 10 What is the n'th term of -91, -101, -111, -121? -10*n - 81 What is the j'th term of -4, -1, 4, 11, 20, 31? j**2 - 5 What is the o'th term of 126, 112, 98, 84, 70, 56? -14*o + 140 What is the m'th term of 53, 59, 67, 77, 89? m**2 + 3*m + 49 What is the c'th term of 24648, 24650, 24654, 24660, 24668, 24678? c**2 - c + 24648 What is the l'th term of -142, -300, -460, -622, -786, -952, -1120? -l**2 - 155*l + 14 What is the l'th term of -86, -366, -824, -1454, -2250, -3206? l**3 - 95*l**2 - 2*l + 10 What is the h'th term of 41, 107, 183, 275, 389, 531? h**3 - h**2 + 62*h - 21 What is the b'th term of -1, -39, -77, -115, -153? -38*b + 37 What is the y'th term of -775, -770, -765, -760, -755? 5*y - 780 What is the s'th term of 430, 861, 1292? 431*s - 1 What is the h'th term of -58, -215, -474, -835, -1298, -1863? -51*h**2 - 4*h - 3 What is the z'th term of -2704, -5409, -8114, -10819, -13524, -16229? -2705*z + 1 What is the b'th term of -702, -714, -738, -780, -846, -942? -b**3 - 5*b - 696 What is the c'th term of 95, 99, 103? 4*c + 91 What is the t'th term of -163, -161, -155, -145, -131? 2*t**2 - 4*t - 161 What is the w'th term of -68, -104, -114, -92, -32, 72, 226? w**3 + 7*w**2 - 64*w - 12 What is the z'th term of 658, 657, 656? -z + 659 What is the c'th term of 3, 28, 69, 126? 8*c**2 + c - 6 What is the y'th term of -15, -48, -111, -210, -351, -540? -y**3 - 9*y**2 + y - 6 What is the p'th term of -688, -1373, -2058? -685*p - 3 What is the j'th term of 4635, 9270, 13905, 18540, 23175, 27810? 4635*j What is the w'th term of -30, -132, -412, -960, -1866, -3220? -15*w**3 + w**2 - 16 What is the d'th term of -359, -352, -335, -302, -247, -164? d**3 - d**2 + 3*d - 362 What is the o'th term of -11, -13, -15, -17, -19? -2*o - 9 What is the b'th term of 1928, 1927, 1926, 1925, 1924? -b + 1929 What is the p'th term of -28, -44, -60? -16*p - 12 What is the q'th term of -12, -66, -158, -288, -456? -19*q**2 + 3*q + 4 What is the w'th term of -2, 12, 44, 100, 186? w**3 + 3*w**2 - 2*w - 4 What is the c'th term of 11, 10, 5, -10, -41? -c**3 + 4*c**2 - 6*c + 14 What is the j'th term of -16, -75, -216, -481, -912, -1551, -2440? -7*j**3 + j**2 - 13*j + 3 What is the m'th term of -11444, -11445, -11446, -11447, -11448? -m - 11443 What is the v'th term of -31, -28, -19, -4, 17? 3*v**2 - 6*v - 28 What is the n'th term of 22, 19, 16, 13? -3*n + 25 What is the t'th term of 27, 9, -45, -153, -333? -3*t**3 + 3*t + 27 What is the s'th term of -9581, -9583, -9587, -9593, -9601, -9611? -s**2 + s - 9581 What is the w'th term of 27, 65, 151, 309, 563, 937? 4*w**3 + 10*w + 13 What is the j'th term of 10, -58, -222, -530, -1030, -1770, -2798, -4162? -8*j**3 - 12*j + 30 What is the w'th term of -33, -81, -141, -213, -297, -393, -501? -6*w**2 - 30*w + 3 What is the s'th term of -37, -41, -47, -55, -65, -77? -s**2 - s - 35 What is the r'th term of -5169, -10331, -15493, -20655, -25817? -5162*r - 7 Wha
{ "pile_set_name": "DM Mathematics" }